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Q3 Exam Review
Indicate the answer choice that best completes the statement or answers the question.
1. Write x2 + 4x – 3x3 + 6 in standard form.
a. –3x3 + x2 + 4x+ 6
b. x2 – 3x3 + 4x + 6
c. 6 + 4x – 3x3 + x2
d. 6 – 3x3 + 4x + x2
2. Simplify 3b 2(4b + 7) – 2b(b 2 – 5b – 3) – 6(b – 2).
a. 14b 3 + 11b 2 – 12b – 12
b. 14b 3 + 31b 2 + 12b + 12
c. 41b 2 + 12
d. 10b 3 + 31b 2 + 12
3. Factor 88a 2b 2 + 24a 2b – 32ab2 completely.
a. 8a 2b 2(11 + 3b – 4a)
b. 2ab(44ab + 12a – 16b)
c. 8ab(11ab + 3a – 4b)
d. (11a 2 + 8b)(8a – 4b 2)
4. Solve (3m – 2)(9m + 5) = 0
a.
b.
c.
d.
5. Factor m2 + 13m + 42.
a. (m + 1)(m + 13)
b. (m + 6)(m + 7)
c. (m + 10)(m + 3)
d. (m – 6)(m – 7)
6. Write an algebraic expression for 27 decreased by a number.
a. 27 + m
b. 27 – m
c. m – 27
d.
7. Write a verbal expression for 2n + 7.
a. the product of 2, n, and 7
b. 7 more than twice a number
c. 7 less than a number times 2
d. 7 more than n and 2
8. Evaluate x2 + xyz if x = 3, y = 5, and z = 4.
a. 69
b. 63
c. 85
d. 21
9. Which of the following uses the Distributive Property to determine the product 12(185)?
a. 12(100) + 12(13)
b. 12(1) + 12(8) + 12(5)
c. 12(18) + 12(5)
d. 12(100) + 12(80) + 12(5)
10. Somerville High School raised $740 to buy winter coats for the homeless at $46.25 each. How many coats can
they buy?
a. 12
b. 16
c. 24
d. 34,225
11. Solve
a. –9
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.
b. 9
c. –64
d. 64
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Q3 Exam Review
12. Find the percent of change. original: 80 new: 64
a. 25%
b. 20%
c. 16%
d. 10%
13. Solve the proportion
a. 2
b. 10
.
c. 30
d.
14. Solve –3(h – 6) = 5(2h + 3).
a. –
b.
c. –
d.
15. A calculator costs $32.00. If the sales tax is 6%, what is the total price?
a. $31.40
b. $30.08
c. $32.60
d. $33.92
Find the slope of each line described.
16. a vertical line
a. 1
b. 0
c. –1
d. undefined
17. Which line shown below is the graph of x + 2y = 6?
a. r
b. n
c. t
d. v
18. Find the function that represents the relationship.
a. y = x – 5
b. y = 7x – 5
c. y = 7x
19. What is the standard form of
a. x + 2y = 0
b. x – 2y = 8
d. y = 7x + 7
?
c. 2x – y = 10
d. 4x – 2y = 0
20. Determine which sequence is an arithmetic sequence.
a. –16, –12, –8, –4, . . .
b. 4, 8, 16, 32, . . .
c. 1, 4, 2, 5, 3, . . .
d. 1, 1, 2, 3, 5, . . .
21. Which is an equation of the line that passes through (2, –5) and (6, 3)?
a. y = x – 6
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b. y = x
c. y = 2x + 12
d. y = 2x – 9
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Q3 Exam Review
22. If
, find f –1(x).
a.
b.
c.
d.
A scatter plot of data comparing the time in minutes Beverly spends studying for her math test and
the score she received on the test contains the ordered pairs (45, 89) and (60, 94).
23. Which is the slope-intercept form of an equation for the line of fit?
a. 0.573x + 63.2 = y
b. x + 74 = y
c. 3x – 46 = y
d.
x + 104 = y
24. A baby blue whale weighed 3 tons at birth. Ten days later, it weighed 4 tons. Assuming the same rate of
growth, which equation shows the weight w when the whale is d days old?
a. w = 10d + 3
b. w = 10d + 4
c. w = 0.1d + 3
d. w = d + 10
25. Find the slope­intercept form of the equation of the line that passes through (–1, 5) and is parallel to 4x + 2y = 8.
a. y = –2x + 9
b. y = 2x – 9
c. y = 4x – 9
d. y = –2x + 3
Solve each inequality.
26. 4w – 6 > 6w – 20
a. {w | w < 7}
b. {w | w < 2}
c. {w | w < –7}
d. {w | w < –2}
27. Which compound inequality has the solution set shown in the graph?
a. –1 < n < 2
b. –1
n <2
c. n –1 or n < 2
d. –1 < n
2
28. Which inequality is graphed below?
a. y < 2x + 1
b. y > 2x + 1
c. y < x + 1
d. y > x + 1
29. Which of the following is the solution set of | 2x – 3 | > 4?
a. {x | x < –0.5 or x > 3.5}
b. {x | x < –1 or x > 7}
c. {x | –0.5 < x < 3.5}
d. {x | x < 0.5 or x > 3.5}
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Q3 Exam Review
30. Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for
$2 each and the get-well cards, y, were sold for $1.50 each. Which point represents a reasonable number of
cards sold?
a. (20, 10)
b. (15, 10)
c. (18, 20)
d. (10, 30)
31. What system of inequalities is represented in the graph?
a. y < –2x + 1
y
x – 1
b. y > –2x + 1
x – 1
y
c. y < –2x + 1
y
x – 1
d. y > –2x + 1
y
x – 1
Use the graph to answer the following questions.
32. What is a solution to the system of inequalities?
a. (0, 2)
b. (0, 0)
c. (1, 1)
d. (2, 4)
33. Use substitution to solve the system x – 2y = 1 and 6x – 5y = 20.
a. (2, 5)
b. (–5, –2)
c. (5, 2)
d. (–2, –5)
34. Colortime Bakers wants to make 30 pounds of a berry mix that costs $3 per pound to use in their pancake mix.
They are using blueberries that cost $2 per pound and blackberries that cost $3.50 per pound. How many
pounds of blackberries should be used in this mixture?
a. 15 lb
b. 20 lb
c. 10 lb
d. 30 lb
35. When solving the system of equations, which expression could be substituted for y in the second equation?
3x + y = 14
x + 4y = 3
a. 3 – 4y
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b.
c.
d. 14 – 3x
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Q3 Exam Review
36. Simplify
a.
. Assume the denominator is not equal to zero.
b.
37. Evaluate
a. 5 109
c.
d.
.
b. 5 10–20
c. 5 10–1
d. 5 101
38. Which equation corresponds to the graph shown?
a. y = ( 3)x + 1
b. y = 2(3x + 1)
c. y = 2(3x)
d. y = (2 • 3)x + 1
39. BUSINESS A printing press valued at $120,000 depreciates 12% per year. What will be the approximate
value of the printing press in 7 years?
a. $19,200
b. $265,282
c. $49,041
d. $55,728
40. POPULATION A city’s population is about 763,000 and is increasing at an annual rate of 1.5%. Predict the
population of the city in 50 years.
a. 1,335,250
b. 826,830,628
c. 358,374
d. 1,606,300
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Q3 Exam Review
Answer Key
1. a
2. d
3. c
4. b
5. b
6. b
7. b
8. a
9. d
10. b
11. d
12. b
13. b
14. b
15. d
16. d
17. a
18. b
19. b
20. a
21. d
22. b
23. b
24. c
25. d
26. a
27. d
28. d
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Q3 Exam Review
29. a
30. b
31. d
32. c
33. c
34. b
35. d
36. d
37. a
38. a
39. c
40. d
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