Free Printable Algebra 2

1.

Expand: 5(y + 2)

a)

10 + 5y

b)

5y + 2

c)

5y + 7

d)

2 + 5y

2.

Expand: 10(2x - 4)

a)

20x + 40

b)

20x - 20

c)

20x - 40

d)

20x + 20

3.

Solve for x:
15 = x + 6

a)

x = 9

b)

x = 15

c)

x = 6

d)

x = 12

4.

Solve for p:
11p = 121

a)

11

b)

12

c)

110

d)

456

5.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

6.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

7.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

8.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

9.

Solve for x.
5x - 10 = x + 6

a)

No solution

b)

x = 1

c)

x = 2

d)

x = 4

10.

Which equation describes the information presented in the picture:

a)

4x = x + 60

b)

5x + 60 = 180

c)

2x = 90

d)

5x + 60 = 360

11.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

12.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

13.

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

a)

40

b)

42

c)

44

d)

46

14.

If x=5,find the value of 7x-1

a)

34

b)

36

c)

35

15.

If y=4,find the value of 3y+5

a)

27

b)

12

c)

17

16.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

17.

If a=6 and b= 7,find the value of 15-a-b

a)

2

b)

3

c)

4

18.

If a=4,b=5 and c=6,find 2c-a-b

a)

4

b)

3

c)

6

19.

When x = 3, y = 6 and z = 7, find 2x - z

a)

-1

b)

-2

c)

-3

d)

-4

20.

If x=5,find the value of 7x-1

a)

34

b)

36

c)

35

21.

If y=4,find the value of 3y+5

a)

27

b)

12

c)

17

22.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

23.

If p=3 and q=5,find
p +q+2

a)

12

b)

10

c)

8

24.

If a=6 and b= 7,find the value of 15-a-b

a)

2

b)

3

c)

4

25.

If a=2,b=3,c=4 and d=5,find a+b+c+d

a)

14

b)

12

c)

15

26.

If a=4,b=5 and c=6,find 2c-a-b

a)

4

b)

3

c)

6

27.

Evaluate u + xy, for u = 18 , x = 10 , and y = 8.

a)

188

b)

36

c)

98

d)

224

28.

If a = 3, b = 4, what is 2a + 3b?

a)

15

b)

16

c)

17

d)

18

29.

If x = 5, y = 3 & z = 2, what is x + 2y + 3z

a)

15

b)

16

c)

17

d)

18

30.

If m = 3 & n = 7, what is 5m - 2n?

a)

1

b)

6

c)

12

d)

29

31.

If s = 3 & t = 9, what is 2t - 3s?

a)

8

b)

9

c)

10

d)

11

32.

If x = 5 & y = 3 what is 3x + 5y?

a)

28

b)

30

c)

32

d)

34

33.

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

a)

7

b)

8

c)

9

d)

6

34.

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

a)

5

b)

6

c)

8

d)

10

35.

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

36.

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

37.

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

a)

1

b)

24

c)

-24

d)

9

38.

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

39.

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

a)

1

b)

-1

c)

1/5

d)

-6

40.

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

a)

-3

b)

4

c)

3

d)

-4

41.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

d)

18

42.

Write an algebraic expression for:
the product of 5 and a number

a)

5 + n

b)

n + 5

c)

5n

d)

5/n

43.

If y = 7, find the value of 2(y+4).

a)

11

b)

22

c)

20

d)

12

44.

If y = 4, find the value of 3y+5.

a)

27

b)

12

c)

17

d)

18

45.

If $a=3$ , find $7-a$

a)

2

b)

3

c)

4

d)

5

46.

If $b=10$ , find $\frac{40}{b}$ .

a)

10

b)

2

c)

30

d)

4

47.

If $c=5$ , find $2c$

a)

7

b)

8

c)

9

d)

10

48.

If $d=11$ , find $d+3$

a)

11

b)

12

c)

13

d)

14

49.

If $f=-4$ , find $3f$

a)

$12$

b)

$-12$

c)

$34$

d)

$-34$

50.

If $h=7$ , find $h^2$

a)

14

b)

49

c)

72

d)

36

51.

$v\ =\ \frac{u-t}{3}$

Using this formula, find v when u = 4 and t = -2 $\$

a)

2/3

b)

2

c)

14/3

52.

$z\ =\ \frac{1}{x}+\frac{1}{y}$ Given this formula, find z when x = 2 and y = 4

a)

3/4

b)

1/6

c)

None of these

53.

$C\ =\ rt$

Given this formula, find C when r = -3 and t = -10 $\$

a)

-13

b)

-30

c)

30

54.

If x = rt - v , find x when r = 2, t =10 and v = -4

a)

24

b)

16

c)

8

d)

16

55.

$p=x\ +\ x^2$

Given this formula, find p when x = 3.4 $\ \$

a)

10.2

b)

14.92

c)

None of these

56.

$r\ =\frac{2}{s+t}$

Find r when x = $\frac{1}{2}$ and t = $\frac{1}{4}$

a)

12

b)

$2\frac{2}{3}$

c)

$4\frac{1}{4}$

57.

y = 2x
Find y when x = 5

a)

y = 10

b)

y = 25

c)

y = 7

d)

y = 20

58.

y = 6x
Find y when x = 4

a)

y = 2

b)

y = 24

c)

y = 10

d)

y = 64

59.

y = 7x
Find y when x = -4

a)

y = 28

b)

y = 3

c)

y = 74

d)

y = -28

60.

y = 10 - x
Find y when x = 4

a)

6

b)

2

c)

y = 6

d)

y = 8

61.

y = x - 9
Find y when x = 6

a)

y = 3

b)

y = -3

c)

y = 3x

d)

y = -3x

62.

y = 3x + 1
Find y when x = 4

a)

y = 35

b)

y = 12

c)

y = 34

d)

y = 13

63.

y = 10x - 5
Find y when x = 4

a)

y = 35

b)

y = 45

c)

y = 99

d)

y = 109

64.

Find the value of $x^2+5$ when $x=0.2$

a)

$5.04$

b)

$9$

c)

$5.4$

d)

$7$

65.

Find the value of $1000T^3$ when $T=0.1$

a)

$100$

b)

$1$

c)

$10$

d)

$3$

66.

Find the value of $9+m^2$ when $m=-3$

a)

$12$

b)

$15$

c)

$18$

d)

$0$

67.

Find the value of $10r^2+2r-4$ when $r=0.2$

a)

$4$

b)

$3.2$

c)

$0$

d)

$-3.2$

68.

Find the value of $4W^2+1+W$ when $W=-1$

a)

$4$

b)

$-4$

c)

$6$

d)

$5$

69.

Find the value of $5p+2p^2+20$ when $p=-10$

a)

$150$

b)

$170$

c)

$190$

d)

$210$

70.

P = 5x – 5.

Find the value of P when x = 4.

a)

20

b)

15

c)

30

d)

25

71.

t = 3 + 5b

When b = 2

Work out the value of t.

a)

13

b)

10

c)

8

d)

15

72.

The perimeter of a rectangle is given by

p =2a + 2b

p= perimeter

What is the value of p when a = 3m and b= 2m?

a)

12m

b)

10m

c)

14m

d)

20m

73.

6x² + 9x + 3; solve if x = 5

a)

198

b)

163

c)

90

d)

78

74.

3 less than a number

a)

3 - n

b)

n - 3

c)

3 + n

d)

n / 3

75.

The sum of 8 and f

a)

8 + f

b)

8f

c)

8/f

d)

8 - f

76.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

77.

Evaluate -2x if x = 10

a)

-8

b)

20

c)

-20

78.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

86

d)

8106

79.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

80.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

81.

Evaluate 7y - 3y for y=2

a)

20

b)

73

c)

8

d)

4

82.

An equation which combines variables with an equal sign is a

a)

value

b)

formulae

c)

statement

d)

operations

83.

In which of the following, is E the subject of the formula?

a)

E = L ⁄ 5E

b)

2E = bh

c)

E = mc²

d)

E² = u² + 2as

84.

(m + n)² can be expressed as

a)

m + n²

b)

2 (m + n)

c)

m²+ n²

d)

(m + n) (m + n)

85.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

86.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

87.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

88.

11b+7=40

a)

2

b)

1

c)

4

d)

3

89.

Solve for x:
52 = -5x - 3

a)

x = 11

b)

x = -11

c)

x = 275

d)

x = -275

90.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

91.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

92.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

93.

5=7s-9

a)

2

b)

6

c)

7

d)

8

94.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

95.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

96.

c/2 = -14

a)

c = -7

b)

c = -7

c)

c = -28

d)

c = 28

97.

w/5 = -10

a)

w = -50

b)

w = 50

c)

w = 2

d)

w = -2

98.

z/-7 = -7

a)

z = 1

b)

z = -1

c)

z = 49

d)

z = -49

99.

24.3 + n = 125.32

a)

101.02

b)

127.76

c)

1.02

d)

102

100.

m - 25.4 = 105

a)

130.4

b)

79.6

c)

131

d)

80

101.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

102.

Is 5 a solution for 3x + 4 = 19

a)

yes

b)

no

103.

Which equation has x =2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

104.

solve 14.35 = 4.1x

a)

x = 3.5

b)

x = 3.8

c)

x = 4

d)

x = 58.83

105.

Tanner and Zach both play basketball. In a game, Tanner scored 6 points. Zach scored 4 times as many times as Tanner. How many points did Zach score?

a)

24

b)

28

c)

18

d)

22

106.

Five times as many as seven is thirty-five

a)

5 x 7 = 35

b)

35 = 5 x 7

c)

5 + 7 = 35

d)

35 = 5 + 7

107.

Three times as many as six is eighteen

a)

3 + 6 = 18

b)

3 x 6 = 18

c)

6 x 3 = 9

d)

18 = 6 x 3

108.

Jill is four times as tall as Danny. Danny is five feet tall. How tall is Jill?

a)

5 x 4 = 20

b)

20= 4 x 5

c)

4 x 5 = 20

d)

20 = 5 x 4

109.

Jeremiah had 9 video games. I have 8 times as many. How many video games do I have?

a)

81

b)

8

c)

9

d)

72

110.

There are 3 kittens at Pam's house. There are two times as many kittens at Kate's house. How many kittens are at Kate's house?

a)

3

b)

6

c)

9

d)

12

111.

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

a)

C = 8

b)

J = 8 x 2

c)

8 = 2 x J

d)

8 = 2 + J

e)

J - 2 + 8

112.

n+2=-14-n

a)

6

b)

8

c)

-8

113.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

114.

-10z = 40

a)

z = 50

b)

z = 30

c)

z = -4

d)

z = 4

115.

18 = -3c

a)

c = 6

b)

c = -6

c)

c = 15

d)

c = -15

116.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

117.

Solve: 4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

118.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

119.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

120.

What is the second step in solving the following equation?
-3x + 5 = 20

a)

Subtract 5 from both sides

b)

Divide both sides by -3

c)

Divide both sides by 3

d)

add 3x to both sides

121.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

122.

Which equation has x =2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

123.

Mrs. Powers will have a sub next Wednesday. Which of the following are true?

a)

I will earn a "free 5" on my daily quiz because we won't have one on a sub day

b)

If my name gets written down as a "problem" I will earn a teacher's detention

c)

I will be on my best behavior because I know what is expected of me no matter who is here

d)

ALL are true

124.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

125.

a)

x= 12

b)

x= -12

c)

x= -22

d)

x= 22

126.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x=8

d)

x= -12

127.

-3 ( f - 8 ) = 39

a)

-21

b)

-10.3

c)

-5

d)

5

128.

5(x-3)=40

a)

11

b)

43/5

c)

38

d)

37/5

129.

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

130.

5(2 + 8)

a)

(5 x 2) + (5 x 8)

b)

(5 x 2) x (5 x 8)

c)

(5 + 2) + (5 + 8)

d)

(5 + 2) x (5 + 8)

131.

2(6k-1)= -38

a)

k= 1

b)

k= 9

c)

k= -4

d)

k= -3

132.

8(7-y) = -24

a)

y= 2

b)

y= 10

c)

y= 15

d)

y= -5

133.

8(x + 5)

a)

8x + 13

b)

8x + 5

c)

8x + 40

d)

13x

134.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

135.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

136.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

137.

What is the solution of y + 5 = 10

a)

15

b)

10

c)

6

d)

5

138.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

Algebra 2

Total questions: 138

Worksheet time: 5hrs 53mins

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