Name: ______________________
Class: _________________
Date: _________
Quarterly Exam 1 Review Packet
____
1 Algebra II Chapters 1-3
1. Which of the properties of real numbers is illustrated below?
ab + ac = a ( b + c)
a.
b.
____
associative law
commutative law
c.
d.
inverse law
distributive law
2. Which of the properties of real numbers is illustrated below?
1
=1
x
a. commutative law
b. inverse law
x⋅
____
c.
d.
associative law
distributive law
3. Which of the properties of real numbers is illustrated below?
( de) f = d ÁÊË ef ˜ˆ
a.
b.
inverse law
distributive law
c.
d.
commutative law
associative law
____
4. Convert 11 yards to inches.
a. 135 in.
b. 33 in.
c. 396 in.
d. 132 in.
____
5. A chain is 0.7 meters long. What is its length in centimeters?
a. 0.7 centimeters
b. 70 centimeters
c. 0.07 centimeters
d. 700 centimeters
____
6. Evaluate 5r + 2s for r = 4 and s = –1.
a. 7
b. 3
c. 22
d. 18
____
7. Evaluate 13 + i for i = 15.
a. –28
b. 2
c.
d.
1
–2
28
ID: A
Name: ______________________
ID: A
Simplify the expression.
____
____
8. 10(a − 1) − 3(a − 1)
a. 10a − 7
b. 10a − 13
c.
d.
7a − 7
7a − 13
9. 7k + 14k
a. 21k
b. –7k
c.
d.
k + 21
2
21k
c.
d.
5r
–19r
____ 10. 3r − 7r + 9r
a. 13r
b. 19r
Determine which value is a solution of the equation.
____ 11. 18
a.
b.
c.
d.
+ t = 32
15
14
18
28
____ 12. 3x = 42
a. 16
b. 17
c. 15
d. 14
____ 13.
n
= 26
5
a. 135
b. 126
c. 134
d. 130
____ 14. 10x + 7 = 57
a. 64
b. 50
c. 2
d. 5
____ 15. 10 − 5w = 25
a. 20
b. –7
c.
d.
2
–3
15
Name: ______________________
ID: A
____ 16. Solve for t in the equation −9 = t + 4s.
a. t = −9 − 4s
−9 + s
b. t =
4
−9 − s
c. t =
4
d. t = −9 − s − 4
____ 17. Solve for n: 3m − n = m − 6n
5
a. n = − m
2
−2m + n
b. n =
6
____ 18. Solve for A : B =
a.
b.
c.
d.
7B +
4
7B +
4
7B +
7
7B +
7
c.
d.
4
(A – 9)
7
63
36
59
32
2
____ 19. Solve for t in the equation B = 9s t .
2
a. t = 9s − B
2
b. t = B − 9s
c.
t=
d.
t=
9s
B
B
2
9s
2
____ 20. Solve for c in the equation a =
a.
b.
c.
d.
b−c
.
c
b
a+1
b
c=
a+1
a+1
c=
b
a+1
c=−
b
c=−
3
n − 3m
3
2
n=− m
5
n=−
Name: ______________________
ID: A
Solve.
____ 21. −12c + 8 ≤ −13c − 7
a. c = 15
b. c ≥ 15
c.
d.
c ≤ 15
c ≤ –15
____ 22. On a road in the city of Rochester, the maximum speed is 40 kilometers per hour and the minimum
speed is 15 kilometers per hour. If x represents speed, which sentence best expresses this condition?
a. 40 ≥ x ≥ 15
b. 40 ≤ x ≤ 15
c. 40 ≥ x ≤ 15
d. x − 15 < 40
Solve the compound inequality.
____ 23. x − 3 ≤ 5 or x + 4 ≥ 14
a. x ≤ 8
b. x ≤ 8 or x ≥ 10
c. x ≥ 10
d. 8 ≤ x ≤ 10
Solve the absolute value equation.
____ 24. |x + 8 | = 4
a. {–4, –12}
b. {–12}
c. {12, 4}
d. {4}
____ 25. |2n − 3 | = 2
5
1
a.
,−
2
2
b. 1, −1
d.
5 1
,
2 2
1, 2
____ 26. || g − 2 || > 2
a. g < 0 or g > 4
b. 0 ≤ g ≤ 4
c.
d.
0<g<4
g ≤ 0 or g ≥ 4
____ 27. |c + 2 | < 3
a. c ≤ −5 or c ≥ 1
b. c < −5 or c > 1
c.
d.
−5 ≤ c ≤ 1
−5 < c < 1
c.
Solve the absolute value inequality.
4
Name: ______________________
ID: A
____ 28. Graph f(x) = 3x − 3.
a.
c.
b.
d.
5
Name: ______________________
____ 29. Graph f (x) =
ID: A
1
x +6.
4
a.
c.
b.
d.
____ 30. What is the domain of the function in the graph?
a.
b.
40 ≤ x ≤ 80
6 ≤ x ≤ 11
c.
d.
6
6 ≤ y ≤ 11
40 ≤ y ≤ 80
Name: ______________________
ID: A
____ 31. Find the slope of the line passing through the points ÁÊË 1, −7 ˜ˆ and ÁÊË −3, −4 ˜ˆ .
3
2
a. −
c.
4
11
11
4
b.
d. −
2
3
____ 32. Find the slope of the line.
a.
5
2
b.
5
c.
7
2
5
d.
1
5
Name: ______________________
ID: A
Graph the equation.
____ 33. x + y = 5
a.
c.
b.
d.
8
Name: ______________________
ID: A
____ 34. 4x + 7y = 28
a.
c.
b.
d.
9
Name: ______________________
____ 35. x − y = 3
a.
b.
ID: A
c.
d.
10
Name: ______________________
ID: A
____ 36. Graph the equation.
y = −4x + 7
a.
c.
b.
d.
____ 37. Find the x- and y-intercepts of y = −3x + 4.
4
3
a.
x-intercept: 4; y-intercept: –3
c.
x-intercept: 4; y-intercept:
b.
x-intercept:
4
; y-intercept: 4
3
d.
x-intercept: –3; y-intercept: 4
11
Name: ______________________
ID: A
____ 38. Graph the linear equation by finding x- and y-intercepts. 2x + 3y = 6
a.
c.
b.
d.
12
Name: ______________________
ID: A
Identify the graph of the linear equation.
____ 39. y = 4
a.
c.
b.
d.
____ 40. Write an equation of a line that has slope 5 and y-intercept 2.
a. y = 5x − 2
c. x = 5y + 2
1
b. y = x +2
d. y = 5x + 2
5
____ 41. Write the equation of the line, in slope-intercept form, that passes through the point ÊÁË −4, 2 ˆ˜ and has
slope 4.
a. y = 4x − 18
c. y = −4x + 18
b. y = −4x − 18
d. y = 4x + 18
____ 42. Which equation represents a line that passes through the point (−5, 5) and has slope −3?
a. y = 3x − 10
c. y = − 3x − 10
b. y = − 3x + 10
d. y = 3x + 10
13
Name: ______________________
ID: A
____ 43. Which slope-intercept equation represents a line that passes through the point ÁÊË 1, −5 ˜ˆ and is parallel to
the line y = −4x − 5?
1
a. y = 4x + 1
c. y = − x – 5
4
b. y = −4x − 1
d. y = −4x − 21
Choose the equation of the line that is parallel to the given line and passes through the
given point.
____ 44. y = 3x + 1; ÊÁË 0, −2 ˆ˜
a. y = 3x − 2
b.
y = −3x + 2
c.
d.
y = 3x + 6
1
y=− x–2
3
____ 45. Which of the following best describes the graphs of the equations below?
3y = 6x + 9
8y = −4x + 4
a.
b.
c.
d.
The
The
The
The
lines
lines
lines
lines
are parallel.
are perpendicular.
have the same y-intercept.
have the same x-intercept.
____ 46. Which equation represents the scatter plot?
a.
b.
y = 2 − 3x
y = 3x + 2
c.
d.
14
y = 3 − 3x
y = 3x − 2
Name: ______________________
ID: A
____ 47. For the data given, find the equation of the best-fitting line.
x
y
3
5
4
6
7
7
8
8
a.
b.
y = 0.460x + 6.71
y = 0.43x + 4.02
10
8
c.
d.
____ 48. Graph the function defined by y = |x − 3 |.
a.
c.
b.
d.
15
y = 0.460x + 4.02
y = 0.43x + 6.71
Name: ______________________
ID: A
Graph the inequality in a coordinate plane.
____ 49. y ≤ 2x − 2
a.
c.
b.
d.
16
Name: ______________________
ID: A
____ 50. 5x − 7y < −35
a.
c.
b.
d.
17
Name: ______________________
ID: A
Graph the linear system and estimate the solution.
____ 51. x + y = −6
3x + y = −14
a. (1, 2)
c.
(–4, –2)
b.
d.
(–1, 4)
(4, 4)
18
Name: ______________________
ID: A
Solve the system by graphing.
____ 52. x + y = −5
y = x−7
a.
(–4, –1)
c.
ÊÁ 8 1 ˆ˜
ÁÁ , ˜˜
ÁÁ
˜
ÁË 3 3 ˜˜
b.
(1, –6)
d.
ÊÁ 7 7
ÁÁ , −
ÁÁ
ÁË 4 4
19
ˆ˜
˜˜
˜˜
˜
Name: ______________________
____ 53. x + y = 3
y = 2x − 9
a. (3,−3)
b.
(−12,15)
ID: A
c.
(4, –1)
d.
(1,2)
____ 54. A rental car agency charges $15 per day plus 11 cents per mile to rent a certain car. Another agency
charges $18 per day plus 8 cents per mile to rent the same car. How many miles per day will have to be
driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
a. 110 miles per day
c. 100 miles per day
b. 1000 miles per day
d. 1100 miles per day
Solve the linear system.
____ 55. 3x − 4y = −21
−4x + 3y = 21
a. (–1, 1)
b. (1, –4)
c.
d.
(–3, 3)
no solution
____ 56. −x − 4y = −18
−2x + 4y = 12
a. (–2, –1)
b. (–6, 6)
c.
d.
(2, 4)
no solution
20
Name: ______________________
____ 57. −3x − 3y = 1
y = −x
a. (1, –2)
b. (–1, 1)
ID: A
c.
d.
Graph the system of inequalities.
____ 58. y ≤ −x − 2
y ≥ 2x − 4
a.
b.
c.
d.
21
(6, –6)
no solution
Name: ______________________
____ 59. x ≥ –4
y≤5
a.
b.
ID: A
c.
d.
____ 60. y ≥ −8
y < −2
a.
c.
b.
d.
22
Name: ______________________
ID: A
____ 61. 5x + 4y ≥ 20
x≥y
x≤6
a.
c.
b.
d.
23
Name: ______________________
ID: A
Determine the solution of the system of inequalities.
____ 62. y ≤ −x − 1
−2x + y ≥ −2
a.
c.
b.
d.
24
ID: A
Quarterly Exam 1 Review Packet
Answer Section
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1 Algebra II Chapters 1-3
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