Free Printable Unit 1 Review Alg 2

1.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

2.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

3.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 21

4.

(a)

5.

$\frac{x}{-11}+8=6$

a)

$x=-22$

b)

$x=1$

c)

$x=11$

d)

$x=22$

6.

What is the first step in getting "x" by itself?
3x - 7 = 28

a)

subtract 7

b)

add 7

c)

multiply by 3

d)

divide by 3

7.

Write an equation models the following statement:
17 less than h equals 42

a)

17 - h = 42

b)

h - 17 = 42

c)

h + 17 = 42

d)

17 + h = 42

8.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

9.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

10.

Solve.

a)

x ≤ 14

b)

x < 14

c)

x ≥ 14

d)

x = 14

11.

Solve the following equation. 4x + 3 = -8

a)

-11/4

b)

11/4

c)

-2

d)

2

12.

7(3x - 4) = -7

a)

x= -1

b)

x= 8

c)

x= 1

d)

x= 9

13.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

14.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

15.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

16.

What is the inverse operation of addition?

a)

multiplication

b)

addition

c)

subtraction

d)

division

17.

Solve for x. (Use the image to identify the correct inequality and graph.)

$x\ -\ 1\ \le\ -9$

a)

A

b)

B

c)

C

d)

D

18.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 21

19.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \ge\ \frac{6}{13}$

b)

$d\ \ge\ \frac{3}{13}$

c)

$d\ \ge\ -1\frac{1}{2}$

d)

$d\ \ge\ -3$

20.

What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)

a)

x + 2 < 5

b)

3x ≥ 9

c)

2x - 1 > 5

d)

x + 3 < 0

21.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x² + z²

a)

2

b)

27

c)

50

d)

34

22.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.

a)

1

b)

-1

c)

1/5

d)

-6

23.

Work out the value of the expression when a = 3, b = 4 and c = 5.

a)

3

b)

1 1/3

c)

4

d)

1/3

24.

Simplify
$5-7s-9d$
When s = 4 and d = 3

a)

-50

b)

6

c)

4

d)

-55

25.

Combine Like Terms $-5x+3y-8x+2-9y$

a)

$-13x-6y+2$

b)

$3x+12y+2$

c)

$-3x+6y+2$

d)

$5x\left(15y\ +2\right)$

26.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

27.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

28.

a)

-x+20y

b)

3x-6y

c)

5x-20y

d)

-x-20y

29.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

30.

Evaluate the following expression:
t²- t + 1 when t = 5

a)

25

b)

22

c)

23

d)

21

31.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x² + z²

a)

2

b)

27

c)

50

d)

34

32.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.

a)

1

b)

-1

c)

1/5

d)

-6

33.

Work out the value of the expression when a = 3, b = 4 and c = 5.

a)

3

b)

1 1/3

c)

4

d)

1/3

34.

Simplify
$5-7s-9d$
When s = 4 and d = 3

a)

-50

b)

6

c)

4

d)

-55

35.

$if\ a\ =\ 5,\ then\ a^2+4\ =$

a)

5

b)

-5

c)

21

d)

29

36.

Combine Like Terms $-5x+3y-8x+2-9y$

a)

$-13x-6y+2$

b)

$3x+12y+2$

c)

$-3x+6y+2$

d)

$5x\left(15y\ +2\right)$

37.

Combine Like Terms $\frac{2}{3}g^2+3g-\frac{3}{5}g^2-\frac{2}{3}g$

a)

$\frac{1}{15}g^2+2\ \frac{1}{3}g$

b)

$\frac{1}{15}g^2-\frac{7}{3}g$

c)

$2\ \frac{1}{3}g-\frac{1}{15}g^2$

d)

$-\frac{1}{15}g^2+2\ \frac{1}{3}g$

38.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

39.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

40.

a)

-x+20y

b)

3x-6y

c)

5x-20y

d)

-x-20y

41.

If $p=3,\ q=10$ , find $q^2-p^2$

a)

7

b)

1

c)

49

d)

91

42.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

43.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a² + c²

a)

22

b)

34

c)

68

d)

43

44.

Simplify
$9c+5z+2$
When c = -9 and z = 9

a)

128

b)

-124

c)

-34

45.

Simplify
$\frac{k}{-3}-3x$
When k = -9 and x = -5

a)

-18

b)

-12

c)

12

d)

18

46.

Simplify: 13 - 4x

when x = (-8)

a)

-19

b)

-45

c)

45

d)

The answer is not here.

47.

Variable

a)

The unknown number represented by a letter

b)

The number without a letter

c)

The number in the top right corner of a letter

d)

The number multiplied to a letter

48.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

49.

What is the area of the algebra tiles?

a)

2x² + 2x

b)

6x² + 4

c)

2x + 2

d)

10x

50.

Find the perimeter if
x = 3

a)

20 units

b)

25 units

c)

12 units

d)

19 units

51.

A - B = C

(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

52.

$Given\ 8x+4y=16,\ solve\ for\ y.$

a)

$y=-2x+4$

b)

$y=-8x+16$

c)

$y=2x-4$

d)

$y=-8x+12$

53.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

54.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

55.

$Given\ 5x-y=16,\ Solve\ for\ y.$

a)

$-y=5x+16$

b)

$x=5y-16$

c)

$y=5x+16$

d)

$y=5x-16$

56.

$Solve:\ C=2\pi r,\ for\ r$

a)

$r=\frac{C}{2\pi}$

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

57.

$Solve\ y\ =\ mx\ +\ b\ for\ x.$

a)

$x=\frac{\left(y-b\right)}{m}$

b)

$x\ =\ y-\frac{b}{m}$

c)

$x=\frac{y}{m}-b$

d)

$x=y-b-x$

58.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

59.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

60.

pV = nRT

solve for n

a)

n= pV/RT

b)

n= p/R + V/T

c)

n= pV - RT

d)

n= (pV-R)/T

61.

A - B = C

(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

62.

IR = V

(solve for R)

a)

$R=IV$

b)

$R=\frac{I}{V}$

c)

$R=\frac{V}{I}$

d)

$R=V-I$

63.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

64.

$Solve\ y\ =\ mx\ +\ b\ for\ x.$

a)

$x=\frac{\left(y-b\right)}{m}$

b)

$x\ =\ y-\frac{b}{m}$

c)

$x=\frac{y}{m}-b$

65.

$A=\frac{bh}{2}$

Solve for b

a)

$b=2A-h$

b)

$b=\frac{2A}{h}$

c)

$b=\frac{Ah}{2}$

d)

$b=\frac{A-2}{h}$

66.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

67.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

68.

$x\ =\ \frac{\left(4-k\right)}{6}$

Solve for k:

a)

$k=6x\ -4$

b)

$k\ =\ \frac{\left(x-6\right)}{4}$

c)

k = 24-x

d)

$k=\ 4-6x$

69.

$Solve\ C=\frac{5}{9}\left(F-32\right),\ for\ F.$

a)

$F\ =\ \frac{5}{9}C+32$

b)

$F\ =\ \frac{5}{9}C-32$

c)

$F\ =\ \frac{9}{5}C-32$

d)

$F\ =\ \frac{9}{5}C+32$

70.

$Given\ 8x+4y=16,\ solve\ for\ y.$

a)

$y=-2x+4$

b)

$y=-8x+16$

c)

$y=2x-4$

d)

$y=-8x+12$

71.

Solve. Select BOTH solutions. $\left|x-1\right|=5$

a)

-2

b)

6

c)

-4

d)

2

72.

Solve. Select BOTH solutions. $\left|5x-8\right|=38$

a)

6

b)

-6

c)

46/5

d)

19/3

73.

Solve. Select BOTH solutions. $\left|5x\right|+3=9$

a)

$\frac{-6}{5}$

b)

$2$

c)

$-2$

d)

$\frac{6}{5}$

74.

Solve. Select BOTH solutions. $8\left|3+x\right|+3=27$

a)

$-6$

b)

$3$

c)

$4$

d)

$0$

75.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

76.

| 3n + 12 | = -6

a)

No Solution

b)

n = -12 and n = ^-12/₅

c)

n = -12

d)

n = ^-12/₅

77.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

78.

Solve the following equation:

|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

79.

Solve the equation $\left|p-3\right|=10$

a)

13 and -7

b)

-13 and 7

c)

-13 and -7

d)

No solution

80.

Solve the absolute value equation.

a)

{7}

b)

{-7, 7}

c)

{0, 7}

d)

No Solution

81.

Solve. Select BOTH solutions.

$\left|x-1\right|=3$

a)

-2

b)

2

c)

4

d)

-3

82.

Solve. Select BOTH solutions. $\left|10x-8\right|=38$

a)

$3$

b)

$-3$

c)

$\frac{23}{5}$

d)

$\frac{19}{5}$

83.

Solve. Select BOTH solutions.
$\left|3x\right|+2=8$

a)

$\frac{10}{3}$

b)

$2$

c)

$-2$

d)

$-\frac{4}{3}$

84.

Solve. Select BOTH solutions.
$5\left|7+x\right|+2=17$

a)

$-10$

b)

$3$

c)

$4$

d)

$-4$

85.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

86.

| 3n + 12 | = 2n

a)

No Solution

b)

n = -12 and n = ^-12/₅

c)

n = -12

d)

n = ^-12/₅

87.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

88.

Solve the following equation:

|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

89.

Solve the equation $\left|p-3\right|=10$

a)

13 and -7

b)

-13 and 7

c)

-13 and -7

d)

No solution

90.

Solve the absolute value equation.

a)

{7}

b)

{-7, 7}

c)

{0, 7}

d)

No Solution

91.

Solve. Select BOTH solutions. $\left|x-1\right|=5$

a)

-2

b)

6

c)

-4

d)

2

92.

Solve. Select BOTH solutions. $\left|5x-8\right|=38$

a)

6

b)

-6

c)

46/5

d)

19/3

93.

Solve. Select BOTH solutions. $\left|6x\right|+3=9$

a)

-1

b)

$2$

c)

$-2$

d)

1

94.

Solve. Select BOTH solutions. $6\left|3+x\right|+3=21$

a)

$-6$

b)

$3$

c)

$4$

d)

$0$

95.

Solve |x – 8| - 3 = 11.

a)

-2, -26

b)

-6, 22

c)

3, 25

d)

4, -7

96.

| 3n + 12 | + 8 = 2

a)

No Solution

b)

n = -12 and n = ^-12/₅

c)

n = -12

d)

n = ^-12/₅

97.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

98.

Solve the following equation:

|2x – 3| + 10 = 15

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, -4}

99.

Solve the equation $\left|p-3\right|=10$

a)

13 and -7

b)

-13 and 7

c)

-13 and -7

d)

No solution

100.

Solve the absolute value equation.

a)

{7}

b)

{-7, 7}

c)

{0, 7}

d)

No Solution

Unit 1 Review Alg 2

Total questions: 100

Worksheet time: 4hrs 23mins

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