Semester Exam Semester Exam ReviewReview

January 10, 2011January 10, 2011

1. Find the next two numbers in the pattern, using the simplest rule you can find.

1. 1, 5, 9, 13, . . .

2. 80, 87, 94, 101, . . .

17, 21

108, 115

2. Give the coordinates and quadrants of each point.

Point R is ________________(1, 3); Quadrant l

1 unit right, 3 units up

Point S is _________________(0, –3); no quadrant

0 units right, 3 units down

Point T is _________________(–2, 2); Quadrant ll

2 units left, 2 units up

Point U is ________________(–3, 0); no quadrant

3 units left, 0 units up

x

y

R

S

T

U

(–3, –2), (1, –2), (1, 3), (–3, 3)

3. Graph the figure with the given vertices. Then find the area of the figure.

A = 20 units2

A = 4 • 5

A = bhArea of a rectangle.

Substitute 4 for b and 5 for h.x

y

(–3, –2) (1, –2)

(1, 3)(–3, 3)

4

5

4. Evaluate.4. Evaluate.a. 21 2(3) 15

31

21

20.4

15.3 e. 7(2.9) 5

d. 6(1.4) + 12

c. 2(9) + (3)

b. 4 + 3 9

5. Write an algebraic expression for each word phrase.

the difference of eight and twice a numberthe difference of eight and twice a number 8 – 2 • x

= 8 – 2x

6. Mrs. Kamerman needs to cover her pool for the winter. She will buy a rectangular cover that measures 15.2 feet by 11.5 feet. How many square feet of plastic cover will she need?

15.2 ft • 11.5 ft

= 174.8 ft2

7. North Dome trail in Yosemite National Park is 5 miles to the summit. Two hikers walk 2 miles before taking a break. They then hike another 1 miles before taking a second break. How many more miles do they have to hike before reaching the summit?

5 miles – 2 miles - 1 mile

= 5 – 2 - 1

= 3 - 1

= 2 miles

The hikers have 2 more miles to hike before reaching the summit.

= 4(7) + 16

Substitute 4 for x, 2 for y, and 3 for z.

Evaluate the exponent.

Subtract inside the parentheses.

Multiply from left to right.

= 4(24 – 32) + 42

= 4(16 – 9) + 16

= 28 + 16

8. Evaluate x(yx – zy) + x for x = 4,

y = 2, and z = 3.

y

x(yx – zy) + x y

Add. = 44

***Any number to the zero power is one (Ex: y0 = 1)

9. Evaluate c3 – d0 if c = 2 and d=6.

= 7

Substitute 2 for c and 6 for d.

Evaluate the exponents.

Subtract.

= 23 – 60

= 8 - 1

c3 – d0

10. A cookie recipe calls for cup of oats. You have cup of oats. How many batches of cookies can you bake using all of the oats you have?

1 2

3 4

Let n = number of batches.

12

34 = n÷

34

21

= n•

64 , or 1 batches of the cookies.1

2n =

b. 57,000,000

a. 0.0053 5.3 10–3

5.7 107

11. Write each number in scientific notation.

Positive correlation; both data sets increase together.

Negative correlation; as one data set increases, the other decreases.

No correlation; as one data set increases, the other decreases.

12. Name the kind of relationship that appears in the data. (positive, negative or no relation)

a. b. c.

13. Ms. Pauley’s computer store has had monthly profits of $800, $550, -$80, -$150, and $350. What was her store’s average profit for those months?

800 + 550 + (-80) + (-150) + 3505

= 14705

= 294

The store’s average monthly profit was $294.

14. A penny weighs 2.5 grams. How many pennies would it take to equal one

pound (453.6 grams)?

It would take about 181 pennies to equal one pound.

453.6 ÷ 2.5

= 181.44

x

y

x 2x – 3 y (x, y) 0

1

2

3

2(0) – 3 –3 (0, –3)

2(1) – 3 –1 (1, –1)

2(2) – 3 1 (2, 1)

2(3) – 3 3 (3, 3)

15. Complete the table y = 2x - 3. Graph the ordered pairs on a coordinate plane and draw a line through them.

16. Linda cell phone plan charges $12 base fee per month plus $0.05 per minute of use. The equation below gives t, the total cost of the cell phone bill for a month in which n minutes are used.

t = 12 + 0.05nHow many minutes did she use if her total monthly bill was $15.80

t = 12 + 0.05n Write the equation.

15.80 = 12 + 0.05n

15.80 = 12 + 0.05n

Substitute 15.80 for t.

Subtract 12 from both sides.-12 -12

3.80 = 0.05n0.05 0.05

Divide both sides by 0.05.

76 = n Linda used 76 minutes.

17. Replace the __ with the symbol that makes a true sentence.

2 __ 2.753 5

2.6 __ 2.75 Convert both numbers into decimals.

Compare.2.6 < 2.75

18. Simplify -6(5 + n) – 2n.

Distributive Property.

Multiply.

-6(5 + n) – 2n

= -30 + -6n – 2n

= -6(5) + -6(n) – 2n

= -30 – 8n Combine coefficients -6 – 2 = -8.

Multiply n by 6.

19. Find a function that describes each arithmetic sequence.

6, 12, 18, 24, …

nn n n •• 6 6 yy

11

22

33

44

nn

y = 6n

1 • 6 6

2 • 6 12

3 • 6 18

4 • 6 24

n • 6 6n

20. Evaluate each expression for the given values of the variables.

y (-13) for y = -4

Substitute -4 for y.

Change subtraction to adding the opposite.

= -4 + 13

= -4 – (-13)

Add.= 9

21. Solve = -5. b 4

b 4 = -5 4 • 4 • Multiply both sides by 4.

b = –20

Checkb 4 = -5

Substitute –20 for b.–20 4 = -5

?

-5 = -5

22. A certain cells have diameters of 4.11 x 10-5 meters, 1.5 x 10-5 meters, 5 x 10-3 meters, and 5.11 x 10-3 meters. Put the lengths in order from least to greatest.

Write all lengths in standard form.

4.11 x 10-5 = 0.0000411

1.5 x 10-5, 4.11 x 10-5,

5 x 10-3, 5.11 x 10-3

Put in order from least to greatest.

1.5 x 10-5 = 0.000015

5 x 10-3 = 0.005

5.11 x 10-3 = 0.00511