7 th Grade Review for Math. Question #1 John’s test grades were: 76, 82, 95, 82, 78, 96, 91. His...

77thth Grade Review for Math Grade Review for Math

Question #1Question #1

John’s test grades were: 76, 82, 95, 82, John’s test grades were: 76, 82, 95, 82, 78, 96, 91. His math teacher will allow 78, 96, 91. His math teacher will allow John to choose the measure of central John to choose the measure of central tendency to be used for his test grades. tendency to be used for his test grades. Which measure should John choose? Which measure should John choose? Why?Why?

Mean because it is the highest valueMean because it is the highest value

Day 1

Question #1 ExplanationQuestion #1 Explanation

Calculate the mean, median, mode, and range to Calculate the mean, median, mode, and range to determine which has the highest valuedetermine which has the highest value Remember the mean is the average; add all of Remember the mean is the average; add all of

the numbers and divide by how many there arethe numbers and divide by how many there are Remember the median is the number in the Remember the median is the number in the

middle (put them in order first)middle (put them in order first) Remember the mode is the number that is the Remember the mode is the number that is the

most oftenmost often Remember the range is the highest minus the Remember the range is the highest minus the

lowestlowest


If y > 2x + 7 and y If y > 2x + 7 and y >> 2x + 7 were each 2x + 7 were each graphed a number line, explain the graphed a number line, explain the difference between the two graphs.difference between the two graphs.

y > 2x + 7 will have an open circle,y > 2x + 7 will have an open circle,

y y >> 2x + 7 will have a closed circle 2x + 7 will have a closed circle

Day 2


Graphing inequalities:Graphing inequalities: less than (<) and greater than (>) signs are an less than (<) and greater than (>) signs are an

open circle because the number is open circle because the number is NOTNOT included in the solution setincluded in the solution set

less than or equal to (less than or equal to (<<) and greater than or ) and greater than or equal to (equal to (>>) are a closed circle because the ) are a closed circle because the number number ISIS included in the solution set included in the solution set

Question #3 and #4Question #3 and #4

Name at least two 3-dimensional figures Name at least two 3-dimensional figures for which a circle could be the base.for which a circle could be the base.

Cone and CylinderCone and Cylinder

Translate into an equation and solve:Translate into an equation and solve:

Eight more than a number is twenty Eight more than a number is twenty seven.seven.

n + 8 = 27 n = 19n + 8 = 27 n = 19

Day 3

Question #3 and #4 ExplanationQuestion #3 and #4 Explanation

Question #3:Question #3: The base of both a cone and a cylinder is a circleThe base of both a cone and a cylinder is a circle

Question #4:Question #4: Replace the following words with the correct symbolReplace the following words with the correct symbol

The words “more than” mean addThe words “more than” mean add The words “a number” mean a variableThe words “a number” mean a variable The word “is” means equalThe word “is” means equal

Re-write the statement using the numbers and symbolsRe-write the statement using the numbers and symbols Solve the equation by doing the inverse operationSolve the equation by doing the inverse operation


A basket of 25 peaches weighs 232 A basket of 25 peaches weighs 232 ounces. After 10 peaches are removed, ounces. After 10 peaches are removed, the basket weighs 9 ½ pounds. How the basket weighs 9 ½ pounds. How much does the basket weigh in ounces?much does the basket weigh in ounces?

152 ounces152 ounces

Day 4


There are 16 ounces in a pound. Multiply There are 16 ounces in a pound. Multiply the number of pounds that the basket the number of pounds that the basket weighs by 16. This will give you the weighs by 16. This will give you the number of ounces that the basket weighs.number of ounces that the basket weighs.

The 25 peaches weighing 232 ounces is The 25 peaches weighing 232 ounces is extra information. extra information. IGNORE IT!!IGNORE IT!!


In Pollville, records are kept on previous In Pollville, records are kept on previous mayors. Here are the ages of the last 6 mayors. Here are the ages of the last 6 mayors when they were voted into office: mayors when they were voted into office: 45, 88, 37, 42, 41, 44. How does the 45, 88, 37, 42, 41, 44. How does the outlier affect the mean?outlier affect the mean?

The mean is 7.7 points higher with the The mean is 7.7 points higher with the outlier than without.outlier than without.

Day 5


First identify the outlier; the number that is a lot First identify the outlier; the number that is a lot bigger or a lot smaller than the other numbers. bigger or a lot smaller than the other numbers. In this case the outlier is 88.In this case the outlier is 88.

Using all of the numbers find the mean (add all Using all of the numbers find the mean (add all of the numbers and divide by how many there of the numbers and divide by how many there are). Write that number down.are). Write that number down.

Cross out the outlier. Find the mean again Cross out the outlier. Find the mean again without the outlier. Write that number down.without the outlier. Write that number down.

Subtract the 2 means. That is the affect of the Subtract the 2 means. That is the affect of the outlier.outlier.


A triangle is graphed on a coordinate grid A triangle is graphed on a coordinate grid on which each unit is a centimeter. It on which each unit is a centimeter. It has vertices at points (2, -8), (2, 5), and has vertices at points (2, -8), (2, 5), and (-4, 5). Find its area.(-4, 5). Find its area.

39 centimeters squared39 centimeters squared Translate into an equation and solve:Translate into an equation and solve:

A number added to eight equals five.A number added to eight equals five. 8 + n = 5 n = -38 + n = 5 n = -3

Day 6

Question #7 and #8 ExplanationQuestion #7 and #8 Explanation

Question #7:Question #7: Draw a coordinate plane and graph the triangle.Draw a coordinate plane and graph the triangle. Find the area of the triangle (1/2 base x height)Find the area of the triangle (1/2 base x height)

To find the base and the height, count the number of units To find the base and the height, count the number of units across (base) and up (height).across (base) and up (height).

Question #8:Question #8: Replace the following words with the correct symbolReplace the following words with the correct symbol

The word “added” means addThe word “added” means add The words “a number” mean a variableThe words “a number” mean a variable



Mrs. Adams is building a miniature table Mrs. Adams is building a miniature table for a dollhouse. The table will be a scale for a dollhouse. The table will be a scale model of her dining room table. The top model of her dining room table. The top of her table measures 36 inches wide of her table measures 36 inches wide and 72 inches long. If the width of the and 72 inches long. If the width of the miniature table will be 1.5 inches, what miniature table will be 1.5 inches, what will be its length?will be its length?

Length = 3Length = 3

Day 7


Make a table:Make a table:

Write the information as a proportion.Write the information as a proportion. Cross multiply and divideCross multiply and divide

Table Model

Length 72

Width 36 1.5


Unit Five starts on page 126 and ends on Unit Five starts on page 126 and ends on page 241. How many pages long is the page 241. How many pages long is the unit?unit?

115 pages long115 pages long Translate into an equation and solve:Translate into an equation and solve:

The product of five hundredths and a The product of five hundredths and a number is 11number is 11

.05n = 11 n = 220.05n = 11 n = 220

Day 8

Question #10 and #11 Question #10 and #11 ExplanationExplanation

Question #10Question #10 The words “how many long” mean subtractThe words “how many long” mean subtract Subtract the two numbers to find the length of the Subtract the two numbers to find the length of the

unitunit

Question #11Question #11 Replace the following words with the correct symbolReplace the following words with the correct symbol

The words “product of” mean multiplyThe words “product of” mean multiply The words “a number” mean a variableThe words “a number” mean a variable The word “is” means equalThe word “is” means equal



Write an algebraic expression to explain Write an algebraic expression to explain the pattern:the pattern:

2, 5, 11, 23, ____. ____, ____2, 5, 11, 23, ____. ____, ____

2x + 12x + 1

Day 9


Ask yourself: how am I getting from each Ask yourself: how am I getting from each number to the next?number to the next?

Make a list of all of the ways you can get Make a list of all of the ways you can get to the next numberto the next number Are you adding, subtracting, multiplying, Are you adding, subtracting, multiplying,

dividing or a combination of the operations?dividing or a combination of the operations?

The answer is the one that works The answer is the one that works EVERYEVERY time!time!


The lengths of the sides of a 5 m by 5 m The lengths of the sides of a 5 m by 5 m square are increased by 3 m. The area square are increased by 3 m. The area of the square has increased by what of the square has increased by what percent? percent?

156%156%

Day 10


This is a Percent of Change Question!This is a Percent of Change Question! Find the area of the square.Find the area of the square. Add three to each side.Add three to each side. Find the area of the square again.Find the area of the square again. Subtract the two areas; put that number as the Subtract the two areas; put that number as the

numeratornumerator Put the first area as the denominatorPut the first area as the denominator Convert the fraction to a percentConvert the fraction to a percent

Divide bottom into top and move the decimal point 2 Divide bottom into top and move the decimal point 2 places to the right.places to the right.


The supply purchasing agent for Carowinds has a The supply purchasing agent for Carowinds has a formula which tells her how much sugar to buy formula which tells her how much sugar to buy when she knows how much cotton candy will be when she knows how much cotton candy will be sold: s = 40 + 0.125csold: s = 40 + 0.125cc = cotton candy sales s = pounds of sugarc = cotton candy sales s = pounds of sugar

On a day when 8,000 people purchase cotton On a day when 8,000 people purchase cotton candy, how much sugar should be purchased?candy, how much sugar should be purchased?

1040 pounds1040 pounds

Day 11


Write the formula that they give youWrite the formula that they give you Replace the variable with the given Replace the variable with the given

numbersnumbers Solve the equation by doing the inverse Solve the equation by doing the inverse

operationoperation


Which is a better buy: a 14 ounce box of Which is a better buy: a 14 ounce box of popcorn for $1.98 or a 36 ounce box of popcorn for $1.98 or a 36 ounce box of popcorn for $2.59? popcorn for $2.59?

36 ounces for $2.5936 ounces for $2.59 Translate the equation into words:Translate the equation into words:

15x + 11 = 5615x + 11 = 56 Eleven more than fifteen times a number Eleven more than fifteen times a number

is fifty six is fifty six

Day 12


Question #15:Question #15:

Find the unit price Find the unit price Divide the price by the number of ouncesDivide the price by the number of ounces

The lower price is the better buyThe lower price is the better buy Question #16:Question #16: Replace the symbols with the correct wordsReplace the symbols with the correct words

When a number is right next to a variable it means When a number is right next to a variable it means multiply, so use a multiplication key wordmultiply, so use a multiplication key word

Use the words “a number” for the variableUse the words “a number” for the variable Use an addition key wordUse an addition key word Use a key word for equalsUse a key word for equals

Re-write the equations using wordsRe-write the equations using words


A soccer ball is usually priced at $16. It A soccer ball is usually priced at $16. It is on sale for 25% off and a 6% sales tax is on sale for 25% off and a 6% sales tax must be added to the price. How much must be added to the price. How much will the customer pay for the soccer ball?will the customer pay for the soccer ball?

$12.72$12.72 Write and solve the equation:Write and solve the equation:

The cost, c, of a CD is twice the cost of a The cost, c, of a CD is twice the cost of a $7 tape. What is the price of the CD?$7 tape. What is the price of the CD?

c = 2($7) c = $14c = 2($7) c = $14

Day 13


When an item is on sale:When an item is on sale: Multiply the price and the percent off (remember to change Multiply the price and the percent off (remember to change

the percent to a decimal by moving the decimal point 2 the percent to a decimal by moving the decimal point 2 places to the left)places to the left) The answer will be the amount of money saved: The answer will be the amount of money saved:

subtract this number from the original pricesubtract this number from the original price To find sales tax:To find sales tax:

Multiply the price and the tax (change the percent to a Multiply the price and the tax (change the percent to a decimal)decimal) The answer will be the amount of tax: add it to the The answer will be the amount of tax: add it to the

original priceoriginal price

Question #18 Explanation

Replace the following words with the correct symbolReplace the following words with the correct symbol The “c” is the variableThe “c” is the variable The word “twice” means 2 timesThe word “twice” means 2 times

Re-write the statement using the numbers and symbolsRe-write the statement using the numbers and symbols Solve the equationSolve the equation


A number has been decreased by 12. The A number has been decreased by 12. The result is –5. Find the original number.result is –5. Find the original number.

77 Mrs. Math asked her student, Molly, to tell Mrs. Math asked her student, Molly, to tell

which was greater: 80% or 4/5 or 0.8which was greater: 80% or 4/5 or 0.8Molly said that they were all equal. Molly said that they were all equal. Explain why or why not Molly is correct.Explain why or why not Molly is correct.

If you convert them to the same type of If you convert them to the same type of rational number they are equalrational number they are equal

Day 14


Question #19:Question #19: The words “a number” means a variableThe words “a number” means a variable The words “decreased by” means subtractThe words “decreased by” means subtract Re-write the statement using the numbers and symbolsRe-write the statement using the numbers and symbols Solve the equation by doing the inverse operationSolve the equation by doing the inverse operation

Question #20:Question #20: Convert each unit to the same unit: a fraction, a decimal, Convert each unit to the same unit: a fraction, a decimal,

or a percent.or a percent. Put them in numerical order and comparePut them in numerical order and compare


The scale on a map is 1 inch:30 miles. The scale on a map is 1 inch:30 miles. Westboro, Malden, and Oxbridge are all Westboro, Malden, and Oxbridge are all located on Route 2 and Malden is between located on Route 2 and Malden is between Westboro and Oxbridge. On the map, the Westboro and Oxbridge. On the map, the distance from Westboro to Malden is 2.5 distance from Westboro to Malden is 2.5 inches and the distance from Westboro to inches and the distance from Westboro to Oxbridge is 5.75 inches. How far, in miles, is Oxbridge is 5.75 inches. How far, in miles, is Malden from Oxbridge?Malden from Oxbridge?

247.5 miles247.5 miles

Day 15


This is a scale factor question!This is a scale factor question! You are converting from a small unit to a large You are converting from a small unit to a large

unit so you are going to divide:unit so you are going to divide: Divide the distance between the two cities (in this Divide the distance between the two cities (in this

case 8.25 inches; you have to add the two case 8.25 inches; you have to add the two distances they give you) by the scale factor (in this distances they give you) by the scale factor (in this case 1/30.case 1/30.

Remember the scale factor is a fraction so you need to Remember the scale factor is a fraction so you need to Keep Change Flip!Keep Change Flip!

This will give you the total distance in miles.This will give you the total distance in miles.


A stadium seats 40,000 people. Tickets A stadium seats 40,000 people. Tickets were $12 each and 24,000 seats were were $12 each and 24,000 seats were sold. What percent of the stadium was sold. What percent of the stadium was full? How much money was collected?full? How much money was collected?

60% full and $288,000 collected60% full and $288,000 collected

Day 16


This is a ratio/percent question:This is a ratio/percent question: Write the number of seats as a ratio:Write the number of seats as a ratio:

Number of seats full : Total number of seatsNumber of seats full : Total number of seats

Convert this ratio to a percent by dividing Convert this ratio to a percent by dividing bottom into top and moving the decimal point bottom into top and moving the decimal point 2 places to the right2 places to the right

To find the amount of money collected:To find the amount of money collected: Multiply the number of full seats (24,000) by Multiply the number of full seats (24,000) by

the cost of the ticket ($12)the cost of the ticket ($12)


Investigate the DataInvestigate the DataAges of 24 Night Class StudentsAges of 24 Night Class Students

2 3 5 5 82 3 5 5 83 0 1 2 2 4 4 4 4 5 6 6 7 8 8 93 0 1 2 2 4 4 4 4 5 6 6 7 8 8 94 1 3 3 84 1 3 3 8

A) Find the mean, median, and mode of the data set.A) Find the mean, median, and mode of the data set.B) Name the range, lower extreme, upper extreme, first B) Name the range, lower extreme, upper extreme, first quartile, and third quartile of the data.quartile, and third quartile of the data.C) What percent of the data is represented by the box in the C) What percent of the data is represented by the box in the box-and-whisker plot?box-and-whisker plot?

A) 34.6, 34, 34A) 34.6, 34, 34 B) 25, 23, 48, 31, 38B) 25, 23, 48, 31, 38 C) 56.5%C) 56.5%

Day 17


A) A) Calculate the mean by adding all of the numbers and dividing how Calculate the mean by adding all of the numbers and dividing how

many numbers there aremany numbers there are Find the median (the number in the middle) and the mode (the Find the median (the number in the middle) and the mode (the

number that is most often)number that is most often) B)B)

Calculate the range by subtracting the biggest and smallest Calculate the range by subtracting the biggest and smallest numbersnumbers

Find the lower extreme (the smallest number) and the upper Find the lower extreme (the smallest number) and the upper extreme (the largest number)extreme (the largest number)

Find the first quartile (the median of the bottom half of data, or the Find the first quartile (the median of the bottom half of data, or the numbers before the median) and the third quartile (the median of numbers before the median) and the third quartile (the median of the upper half of data, or the numbers after the median.the upper half of data, or the numbers after the median.

Question #23 Explanation Continued…

C) To find the percent of the data represented by

the box in a box and whisker plot: Count how many numbers there are from the first

quartile to the third quartile; write this number as the numerator.

Write the total number of values as the denominator

Convert the fraction to a percent by dividing bottom into top and moving the decimal point 2 places to the right.


Tammy was paid $5 an hour for washing cars. Tammy was paid $5 an hour for washing cars. She worked 3 hours on Friday, 9 hours on She worked 3 hours on Friday, 9 hours on Saturday, and 5 hours on Sunday. Materials Saturday, and 5 hours on Sunday. Materials cost her $32.75. How much money did she cost her $32.75. How much money did she make after expenses?make after expenses?

$52.25$52.25

Day 18


Calculate the total number of hours that Calculate the total number of hours that Tammy worked Tammy worked Add the number of hours for each dayAdd the number of hours for each day

Multiply the number of hours by the amount Multiply the number of hours by the amount of money that she earns per hourof money that she earns per hour

Subtract the amount of money needed for Subtract the amount of money needed for expenses from the amount of money she expenses from the amount of money she earnedearned This will be her earnings after expenses.This will be her earnings after expenses.


Jason bought a car for $3,500. He sold Jason bought a car for $3,500. He sold his truck for $1,500 which he used as a his truck for $1,500 which he used as a down payment. The remaining amount down payment. The remaining amount was borrowed at 4.5% interest for 5 was borrowed at 4.5% interest for 5 years. How much interest will he pay?years. How much interest will he pay?

How much will his total repayment be?How much will his total repayment be? $450 $2,450$450 $2,450

Day 19


This is a Simple Interest Question:This is a Simple Interest Question: First you have to find the Principle amountFirst you have to find the Principle amount

Subtract the cost of the truck and his down Subtract the cost of the truck and his down payment payment

Write the formula: I = P x R x TWrite the formula: I = P x R x T Replace the letters with the values from the Replace the letters with the values from the

question and do the math.question and do the math. This will be the interestThis will be the interest

Add the interest to the principle to find the Add the interest to the principle to find the total amount he has to repay to the banktotal amount he has to repay to the bank


The surface area, SA, of a sphere is The surface area, SA, of a sphere is found using the formula: SA = 4found using the formula: SA = 4r² , r² , where r is the radius of the sphere. Find where r is the radius of the sphere. Find the surface area of a sphere with a the surface area of a sphere with a radius of 2.5 inches.radius of 2.5 inches.

78.5 square inches78.5 square inches

Day 20


On the EOG you will be given formulas On the EOG you will be given formulas that you are not familiar with…don’t worry, that you are not familiar with…don’t worry, just replace the letters with the numbers just replace the letters with the numbers they give you and do the math!they give you and do the math!


Martha entered the elevator and went Martha entered the elevator and went down seven floors, up ten floors, up two down seven floors, up ten floors, up two floors, then down five floors. She was floors, then down five floors. She was then on the eleventh floor. On what floor then on the eleventh floor. On what floor did she enter the elevator?did she enter the elevator?

Eleventh floorEleventh floor

Day 21


This is a Negative Numbers Question:This is a Negative Numbers Question: Re-write it as a number sentence and do the Re-write it as a number sentence and do the

math (remember down is a negative number math (remember down is a negative number and up is a positive number):and up is a positive number):

-7 + 10 + 2 – 5 -7 + 10 + 2 – 5 This number sentence equals 0 so the This number sentence equals 0 so the

elevator is still on the same floor!elevator is still on the same floor!


The Jones family rented a car for 3 days of The Jones family rented a car for 3 days of their vacation. The rental charge was their vacation. The rental charge was $21.95 per day plus $0.17 per mile. If the $21.95 per day plus $0.17 per mile. If the bill was $96.96 before taxes, write and bill was $96.96 before taxes, write and solve an equation to find the number of solve an equation to find the number of miles, m, they drove miles, m, they drove

3(21.95) + 0.17m = 96.96 183 miles3(21.95) + 0.17m = 96.96 183 miles

Day 22


Replace the following words with the correct symbolReplace the following words with the correct symbol The word “per” means multiplyThe word “per” means multiply The word “was” means equalThe word “was” means equal

Re-write the statement using the numbers and symbolsRe-write the statement using the numbers and symbols Solve the equation using inverse operationsSolve the equation using inverse operations


A brownie pan has dimensions of 8 inches A brownie pan has dimensions of 8 inches by 4 inches by 2 3/5 inches. Compute the by 4 inches by 2 3/5 inches. Compute the volume of the pan. Express your answer volume of the pan. Express your answer in decimal form. If the batter is 1.75 in decimal form. If the batter is 1.75 inches deep, what percent of the pan is inches deep, what percent of the pan is filled with brownie batter? filled with brownie batter?

83.2 cubic inches 67.3% full83.2 cubic inches 67.3% full

Day 23


First find the volume of the pan by using the formula: Bh First find the volume of the pan by using the formula: Bh (the area of the base x the height or length x width x (the area of the base x the height or length x width x height)height)

Next find the volume of the batter by multiplying the area Next find the volume of the batter by multiplying the area of the base of the pan (length x width) by the height of the of the base of the pan (length x width) by the height of the batterbatter

Finally write a fraction using the volume of the batter as Finally write a fraction using the volume of the batter as the numerator and the volume of the pan as the the numerator and the volume of the pan as the denominatordenominator Convert the fraction to a percent by dividing bottom Convert the fraction to a percent by dividing bottom

into top and moving the decimal point 2 places to the into top and moving the decimal point 2 places to the right.right.


The Wiley family went to Pizza Place for The Wiley family went to Pizza Place for dinner. They bought two pizzas for dinner. They bought two pizzas for $12.95 (tax included) each. Mr. Wiley $12.95 (tax included) each. Mr. Wiley wanted to add a 20% tip to the bill. What wanted to add a 20% tip to the bill. What was the total cost of the dinner?was the total cost of the dinner?

$15.54$15.54

Day 24


To find the amount of a tip:To find the amount of a tip: Multiply the cost of the meal and the percent Multiply the cost of the meal and the percent

(remember to change the percent to a (remember to change the percent to a decimal by moving the decimal point 2 places decimal by moving the decimal point 2 places to the left)to the left)

To find the total cost of the meal add the To find the total cost of the meal add the cost of the meal and the tipcost of the meal and the tip


A goat is tied to a corner of a 60 ft by 75 ft barn A goat is tied to a corner of a 60 ft by 75 ft barn in the center of a grassy field. His rope is 50 ft in the center of a grassy field. His rope is 50 ft long. Approximately how much area does he long. Approximately how much area does he have to graze? have to graze?

7,850 square feet7,850 square feet Roger babysits 4 ¾ hours each Saturday and Roger babysits 4 ¾ hours each Saturday and

each Sunday. He plans to babysit for 3 ½ each Sunday. He plans to babysit for 3 ½ weekends next month. What is the total weekends next month. What is the total number of hours he will babysit next month?number of hours he will babysit next month?

33 ¼ hours33 ¼ hours

Day 25


Question #31:Question #31: This is the area of a circle question:This is the area of a circle question:

Write the formula: 3.14 x radius x radiusWrite the formula: 3.14 x radius x radius Replace the words with the numbers and do Replace the words with the numbers and do

the maththe math The size of the barn is extra information: The size of the barn is extra information:

IGNORE IT!!IGNORE IT!!


A weekend it 2 days: Saturday and Sunday so a half of a weekend would be 2 day.

Calculate the number of hours worked in a weekend by adding the number of hours for Saturday and Sunday.

Multiply by 3 ½ to get the total number of hours for 3 ½ weeks

Question #33

Ali is going to paint her school’s basketball court. How many square feet of area does she need to paint if the court is 384 inches long and 108 inches wide?

Day 26

408 square feet


To find area of a rectangle: multiply length times width HOWEVER- the question wants the answer in feet so you have to divide each measurement by 12 first:

384/12 = 32 feet 108/12 = 15 feet After you have converted the

measurements then multiply: 32 x 15 = 408 square feet

Question #34

The 7th grade students were voting on locations for a class trip. Two-ninths voted to go to the zoo and four-sevenths voted to go to an amusement park. If there are 250 students:How many voted to go to the zoo?How many voted to go to an amusement park? How many students did not vote?

Day 27

56

143

51


To find fractional parts: multiply the total number of students by each fraction:

250 x 2/9 = 55.555 = about 56 students 250 x 4/7 = 142.857 = about 143 students So: 56 students voted for the zoo

143 students voted for an amusement park To find the number of students who have not

voted: add 56 + 143 = 199 then subtract 199 from 250: 250 – 199 = 51

So 51 students did not vote

Question #35

Stan has just started a new job. In the first week he is paid $7 an hour plus a $50 bonus. How much money does he make in the first week if he works 32 hours?

Day 28

$274


Stan makes $7 an hour for each of the 32 hours so multiply the number of hours by the dollar amount:

32 x 7 = 224 Then add the bonus: 224 + 50 = 274 So Stan makes $274 the first week

Question #36

Monica makes 3 times as much money as George. If Monica make $5.52 an hour how much does George make. Write an equation to solve this problem.

Day 29

$1.84


Equation: 3g = $5.52 Monica make 3 times George which is equal

to $5.52

Solve the equation: Divide both sides by 3 to get the g by itself 5.52/3 = 1.84

So George makes $1.84

Question #37

A 52 foot light post casts a shadow that is 72 feet long. At the same time a lighthouse casts a shadow of 180 feet long. How tall is the lighthouse?

Day 30

130 feet tall

Question #37

Write a proportion: Height of lamp post = Height of lighthouse

post shadow lighthouse shadow Plug in the numbers:

52 = ? 72 180

Cross multiply and divide: 180 x 52 =9360 9360/72 = 130

So the lighthouse is 130 feet tall

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7 th Grade Review for Math. Question #1 John’s test grades were: 76, 82, 95, 82, 78, 96, 91. His...

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