7th Grade Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. In a recent survey, 45% of those responding said they feel that they do not use public transportation often enough. If there were 1300 people surveyed, how many of them responded that they feel this way? a. 715 c. 585 b. 1300 d. 45 ____ 2. Elisa bought a hat that was originally priced at $21.50. The hat was advertised to be on sale for 20% off the regular price. What was the sale price that Elisa paid for the hat? a. $21.07 c. $25.80 b. $17.20 d. $19.35 ____ 3. During their first home game, the Eagles soccer team drew a total of 176 fans. By the second game, this number grew to 202 fans. What was the percent increase in attendance between the first two home games of the season? Round your answer to the nearest tenth, if necessary. a. 20.5% c. 14.8% b. 26% d. 12.9% ____ 4. The value of a painting increased from $1,540 to $2,570 over a period of 13 years. What was the percent of increase in the value of the painting during this time period? Round your answer to the nearest tenth of a percent, if necessary. a. 35.2% c. 5.1% b. 72.1% d. 66.9% ____ 5. Of the 20 students in Mr. Capehart’s physical education class, 12 play on a sports team for the school. Express the number of students in the class who play on a school athletic team as a percent. a. 71% c. 53% b. 60% d. 166.7% ____ 6. A team of quality control engineers samples 600 computer circuit boards as they come off of an assembly line. They find that 3 of the boards have some form of defect. Express the rate of failure for this sample as a percent. a. 5% c. 1.5% b. 0.005% d. 0.5% ____ 7. Students in Mr. Ortiz’s literature class are reading books for a book report project. The table below shows four students and how many pages they have read from their books so far. Student Number of pages read so far Total number of pages in book Justin 166 293 Yuki 199 358 Elaine 205 355 Kenji 261 497 Which student has read the greatest percentage of pages? a. Kenji c. Yuki
Transcript
7th Grade Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. In a recent survey, 45% of those responding said they feel that they do not use public transportation
often enough. If there were 1300 people surveyed, how many of them responded that they feel this way? a. 715 c. 585 b. 1300 d. 45
____ 2. Elisa bought a hat that was originally priced at $21.50. The hat was advertised to be on sale for
20% off the regular price. What was the sale price that Elisa paid for the hat? a. $21.07 c. $25.80 b. $17.20 d. $19.35
____ 3. During their first home game, the Eagles soccer team drew a total of 176 fans. By the second
game, this number grew to 202 fans. What was the percent increase in attendance between the first two home games of the season? Round your answer to the nearest tenth, if necessary. a. 20.5% c. 14.8% b. 26% d. 12.9%
____ 4. The value of a painting increased from $1,540 to $2,570 over a period of 13 years. What was the
percent of increase in the value of the painting during this time period? Round your answer to the nearest tenth of a percent, if necessary. a. 35.2% c. 5.1% b. 72.1% d. 66.9%
____ 5. Of the 20 students in Mr. Capehart’s physical education class, 12 play on a sports team for the
school. Express the number of students in the class who play on a school athletic team as a percent. a. 71% c. 53% b. 60% d. 166.7%
____ 6. A team of quality control engineers samples 600 computer circuit boards as they come off of an
assembly line. They find that 3 of the boards have some form of defect. Express the rate of failure for this sample as a percent. a. 5% c. 1.5% b. 0.005% d. 0.5%
____ 7. Students in Mr. Ortiz’s literature class are reading books for a book report project. The table below
shows four students and how many pages they have read from their books so far.
Student Number of pages
read so far Total number of pages in book
Justin 166 293
Yuki 199 358
Elaine 205 355
Kenji 261 497
Which student has read the greatest percentage of pages? a. Kenji c. Yuki
b. Elaine d. Justin
____ 8. Rafael made 7 out of the 20 shots that he took during his basketball game. What percentage of his
shots did Rafael make in this game? a. 35% c. 0.35% b. 0.65% d. 65%
____ 9. Hana’s gross monthly income is $2,500. In planning her budget, she decides that she doesn’t want
to spend more than 7% of his monthly income on a car payment each month. What is the maximum amount of money Hana can spend on her car payment each month and still stay within the budget? a. $175 c. $188 b. $2,325 d. $2,675
____ 10. Mrs. Jamison is purchasing some paint and other supplies for her art class. As a teacher, she
receives a 20% discount from the art supplies store. If the cost of the supplies is $39.00, which of the following operations can be used to find the amount of discount that Mrs. Jamison will receive? a. multiply $39.00 by 0.2 c. divide $39.00 by 0.8 b. divide $39.00 by 0.2 d. multiply $39.00 by 0.8
Write the fraction as a percent. Round to the nearest whole percent.
____ 11.
a. 28% b. 278% c. 27% d. 3%
Use the percent equation to answer the question.
____ 12. 26 is what percent of 104?
a. %
b. 75% c. 25% d. 26%
____ 13. 10 is 25% of what number?
a. 40 c.
b. none of these d. 400
____ 14. 7.EE.4.7
Which of the following is correctly solved and graphed inequality:
a. c.
0 1 2 3 40–1–2–3–4
0 1 2 3 40–1–2–3–4
b.
0 1 2 3 40–1–2–3–4
d.
0 1 2 3 40–1–2–3–4
____ 15. 7.EE.4.7
What graph correctly shows equation acuratly represents the number line:
0 1 2 3 4 50–1–2–3–4–5
a. x<3 c.
b. d. 3<x
____ 16. On which number line is point X located at –1?
a.
0
X
5
–5
b.
0
X
5
–5
c.
0
X
5
–5
d.
0
X
5
–5
____ 17. Which point on the number line is one possible answer when the number 1 is multiplied by a
positive number larger than 1?
0 1 2 3 4 5 60–1–2–3–4–5–6
A B C D
a. A c. B b. C d. D
____ 18. Points A, B, C, and D represent four different integers on the number line. Which point represents
the second smallest integer?
0 2 4 6 8 10 120–2–4–6–8–10–12
A DB C
a. Point C c. Point B b. Point A d. Point D
Find the product.
____ 19.
a. 6 b. 16 c. 6 d. 16
____ 20. 7.EE.4.1
Which one of the following solution has an error in it?
a. c.
b. d.
____ 21. 7.ee.4.2 Which of the following equations rerpresents the following situation:
A plant will grow .1cm a day. If it has already reached 4 cm tall, how many more days will it grow to reach
a hight of 22.35cm?
a. 22.35 = .1x+4 c. 4 = .1x+22.35
b. 22.35 = .1x-4 d. 22.35 = -4-.1x
____ 22. 7.ee.4.6
Which of the following correctly discribes the correct and easisiest sequence you need to do to solve for x in
the equation:
a. 1. Distribute the two thirds to the
parenthesis.
c. 1. Add 6 to both sides
2. Multiply both sides by three halves
2. Combine like terms
3. Add the constant to both sides
4. Multiply by the reciprical on both
sides.
3. Add 4 to both sides
b. 1. Combine -4 and -6
2. Multiply both sides by three halves
3. Add 10 to both sides
d. 1. Multiply both sides by three halves
2. Combine -4 and -6
3. Add 10 to both sides
____ 23. 7.ee.4.4 Which of the following represents the area of the figure below?
a. 6(2x+7) = 12x + 42 c. 7(2x+6) = 14x + 42
b. 2x(7+8) = 14x + 16x = 30x d. 2x+7+6 = 2x + 13
____ 24. 7.ee.4.4 Which of the following represents the distributive property?
a. 2(3x-5) = 6x - 10 c. 4x + 8x = 14x
b. 3(5x -7) = 15x-7 d. 3 + 4 = 4 + 3
Short Answer
Copy and complete the statement using , , or =.
25. 49%2
3
Use the percent equation to answer the question.
26. What percent of 350 is 189?
7.ee.4.7 Show all the solutions for x using the number line below.
27.
28. Write the integer that best matches the statement below.
"Olga gave away 5 stickers."
Find the sum.
29.
7.ee.4.1 Solve for x
30.
7.ee.4.2 Solve the following story problems for the unknown
31. 7.ee.4.2 A customer went to a garden shop and bought some potting soil for $12.50, and 6 shrubs.
If the total bill was $71.00, what did each shrub cost?
32. 7.ee.4.2 Best Deal Auto Rental offers a daily rate of $38 plus $.30/mile. After a one-day rental, the
bill was $74. How many miles did the driver travel?
7.ee.4.6 Solve for x
33.
7.ee.4.4 Solve for x
34.
35.
7.ee.4.3 Solve for x
36.
37.
7.ee.4.3ii Solve for x
38.
39.
7th Grade Review
Answer Section
MULTIPLE CHOICE
1. ANS: C
We need to find 45% of 1300. First, change the percentage to a decimal by dividing by 100. Then multiply that decimal times the number of people surveyed.
Feedback
A That is the number of people who did NOT respond in the way stated. B That is the number of people surveyed. You need to multiply that by the
percentage. C Correct! D That is the percentage. You need to multiply it by the number of people
It is necessary to first find the amount of the discount. Multiply the original price by sale percentage converted to a decimal.
Then subtract the discount from the original price to obtain the sale price.0.20
Feedback
A Remember that percent means per 100. B Correct! C When finding a sale price, you subtract the discount, not add it. D Read the question again. Did you use the correct sale percentage?
Find the increase in attendance from the first game to the second.
Divide the difference by the total number of fans in attendance at the first game. Multiply by 100 to write this as a percent, and round to the nearest tenth, if necessary.
Feedback
A How many more fans attended the second game than the first game? B What was the increase in attendance? How does this number compare to the
first game’s attendance? C Correct! D Should you compare the increase in attendance to the first game or to the
Find the amount of increase in the value of the painting.
Divide the amount of increase by the original value. Multiply the result by 100 to write it as a percent.
Feedback
A How much has the value increased? Compare this to the original value of the painting.
B Find the amount of increase and then divide by the original value. C The time period has nothing to do with the percent increase in value. D Correct!
Divide the number of students who play on a school athletic team by the total number of students and simplify. Multiply the result by 100 to write the result as a percent.
Feedback
A Divide the number of students who play on a sports team by the total. B Correct! C Write the ratio of the number of students who play on a school athletic team to
the total number of students in the class.
D Which number should be the numerator and which should be the denominator?
Divide the number of defective boards by the total number tested. Multiply the result by 100 to write the result as a percent.
Feedback
A What is the ratio of defective boards to the total number of boards tested? B Don’t forget to multiply by 100 to write the decimal as a percent. C Divide the number of defective boards by the total number tested. D Correct!
To answer this question, it is necessary to calculate the percentage of pages read by each student. This requires dividing the number of pages read so far by the total number of pages in each book, then multiplying the result by 100.
For Justin, the calculation is .
For Yuki, the calculation is .
For Elaine, the calculation is .
For Kenji, the calculation is .
Elaine has the read the greatest percentage of pages (57.7%).
Feedback
A To find the percentages, divide the number of pages read so far by each student by the total number of pages in the book, and multiply by 100.
B Correct! C First find the percentage of pages read by each student.
D The question asks for the highest percentage of pages read. How do you find the percentage of pages read?
To convert the result to a percentage, first divide the number of shots made by the number of shots taken. Then convert this decimal to a percentage by multiplying by 100.
.
Multiply that result by 100 to get 35%. Feedback
A Correct! B You have calculated misses, not makes. You also need to multiply the result by
100 to get the percentage. C You need to multiply by 100 to get the percentage. D You found the percentage of misses, not makes.
OBJ: Apply properties of operations as strategies to multiply and divide rational numbers.
NAT: 7: 7.NS.2.c STA: 7: 7.NS.2.c TOP: The Number System
KEY: percent | problem solving MSC: MA-07-00085
10. ANS: A
To find the amount of discount, multiply the cost of the supplies by the decimal equivalent of 20%. That is, multiply $39.00 by 0.2. Feedback
A Correct! B Will this quotient be greater than or less than the total cost of the supplies? C This will result in an amount that is greater than the total cost of the supplies. D Is this the amount of discount or the cost of the supplies after the discount is
LOC: NCTM 6-8.NOP.1.a TOP: Lesson 9.1 Percents and Fractions
KEY: fraction as a percent | rounding MSC: Knowledge NOT: 978-0-618-73961-5
12. ANS: C PTS: 1 DIF: Level B REF: MLC20462
TOP: Lesson 9.4 The Percent Equation KEY: percent equation | find the percent
MSC: Comprehension NOT: 978-0-618-73961-5
13. ANS: A PTS: 1 DIF: Level B REF: MLC20460
TOP: Lesson 9.4 The Percent Equation KEY: percent equation | find the base
MSC: Comprehension NOT: 978-0-618-73961-5
14. ANS: B
7.EE.4.7a I can solve single step 1-variable inequality equations by graphing on a number line. 7.EE.4.7b I know that multiplying and dividing by an negative reverses the sign of the inequality. 7.EE.4.7c I can identify and graph solutions using solid and hallow dots. 7.EE.4.7d I can solve multi-step 1-variable inequality equations by graphing on a number line. 7.EE.4.7e I can identify if a quantity is a solutions to inequality equations.
PTS: 1
15. ANS: B
7.EE.4.7a I can solve single step 1-variable inequality equations by graphing on a number line. 7.EE.4.7b I know that multiplying and dividing by an negative reverses the sign of the inequality. 7.EE.4.7c I can identify and graph solutions using solid and hallow dots. 7.EE.4.7d I can solve multi-step 1-variable inequality equations by graphing on a number line. 7.EE.4.7e I can identify if a quantity is a solutions to inequality equations.
PTS: 1
16. ANS: D
Point X should be 1 units below zero. Feedback
A Point X on this number line is located at 1. B Point X on this number line is located at –2. C Point X on this number line is located at 2. D Correct!
OBJ: Find and position integers and other rational numbers on a horizontal or vertical number line diagram;
find and position pairs of integers and other rational numbers on a coordinate plane.
NAT: 6: 6.NS.6.c STA: 6: 6.NS.6.c TOP: The Number System
KEY: integers | location | number line MSC: MA-05-00609
17. ANS: D
Multiplying by a positive number smaller than 1 will result in a smaller number that is greater than zero. Multiplying by a positive number larger than 1 will result in a larger number. Feedback
A When you multiply two positive numbers, can the resulting number be negative? B Try dividing using this number to see if you get a number that meets the
conditions. C Try this with a sample number. D Correct!
OBJ: Apply properties of operations as strategies to multiply and divide rational numbers.
NAT: 7: 7.NS.2.c STA: 7: 7.NS.2.c TOP: The Number System
KEY: multiplication | number line | positive numbers MSC: MA-08-00055
18. ANS: C
On a number line, the point that is farthest to the left is the smallest integer, and the number that is the farthest to the right is the largest integer. The two points between these represent the second smallest and the second largest integers in order from left to right. So the point that represents the second smallest integer is Point B. Feedback
A How would you order the integers from least to greatest? B What integers are represented by the four points? C Correct! D What does each point’s position on the number line tell you about its relative
