Free Printable Algebra Practise:

1.

Solve for x: 5x = 20

a)

2

b)

4

c)

5

d)

10

2.

What is the solution to x + 7 = 12?

a)

3

b)

5

c)

6

d)

4

3.

If 3x - 9 = 0, what is x?

a)

-3

b)

0

c)

3

d)

6

4.

Solve for y: 2y + 4 = 12

a)

2

b)

6

c)

8

d)

4

5.

What is the value of x in the equation 10 = 2x + 2?

a)

8

b)

6

c)

2

d)

4

6.

Graph the inequality: y < 2x + 3

a)

Graph the line y = 2x + 3 as a solid line and shade below it.

b)

Graph the line y = 2x + 3 as a dashed line and shade above it.

c)

Graph the line y = 2x + 3 as a solid line and shade above it.

d)

Graph the line y = 2x + 3 as a dashed line and shade below it.

7.

Balance the equation: 2x + 3 = 11

a)

x = 2

b)

x = 3

c)

x = 4

d)

x = 5

8.

Balance the equation: 4y - 5 = 3y + 2

a)

y = 10

b)

y = 5

c)

y = 7

d)

y = 2

9.

Simplify the expression: 3a + 4a - 2a

a)

6a

b)

5a

c)

4a

d)

3a

10.

Simplify: 5(2x + 3) - 4x

a)

5x + 15

b)

6x + 12

c)

10x + 3

d)

6x + 15

11.

What are three consecutive integers that add up to 12?

a)

3, 4, 5

b)

2, 3, 4

c)

4, 5, 6

d)

1, 2, 3

12.

Find two consecutive integers whose product is 30.

a)

4 and 5

b)

6 and 7

c)

3 and 4

d)

5 and 6

13.

If x is a consecutive integer, what is x + 1?

a)

x + 3

b)

x + 2

c)

x + 1

d)

x - 1

14.

Simplify: 6x - 2x + 3 - 5

a)

4x - 2

b)

4x + 5

c)

2x + 8

d)

6x - 8

15.

Solve for x: 7 = 3x - 2

a)

2

b)

5

c)

3

d)

4

16.

Graph the inequality: 3x + 2y < 6

a)

Draw a dashed line for 3x + 2y = 6 and shade the left side.

b)

Graph the line 3x + 2y = 6 with a thick line and shade above.

c)

Graph the region below the line 3x + 2y = 6, using a dashed line.

d)

Shade the area above the line 3x + 2y = 6, using a solid line.

17.

What is the inverse of the function f(x) = 2x + 3?

a)

f^(-1)(x) = 2(x + 3)

b)

f^(-1)(x) = (x + 3) / 2

c)

f^(-1)(x) = (x - 3) / 2

d)

f^(-1)(x) = 2x - 3

18.

If x = 4, what is the value of 2x - 5?

a)

7

b)

-1

c)

1

d)

3

19.

Simplify: 8 - 2(3 + x)

a)

8 - 6x

b)

4 - 2x

c)

6 - 2x

d)

2 - 2x

20.

Simplify: 4(3x - 2) + 5x

a)

7x + 8

b)

12x + 8

c)

7x - 8

d)

12x - 8

21.

If y is a consecutive integer, what is y + 1?

a)

y - 1

b)

y + 3

c)

y + 1

d)

y + 2

22.

Solve for z: 9z = 45

a)

6

b)

3

c)

4

d)

5

23.

Solve for x: 5x = 20

a)

2

b)

4

c)

5

d)

10

24.

What is the value of x in the equation x + 7 = 12?

a)

4

b)

6

c)

10

d)

5

25.

If 3x - 9 = 0, what is x?

a)

-3

b)

6

c)

0

d)

3

26.

Balance the equation: 2x + 3 = 11

a)

x = 3

b)

x = 2

c)

x = 4

d)

x = 5

27.

Solve for y: 4y - 8 = 0

a)

0

b)

1

c)

3

d)

2

28.

Simplify the expression: 3a + 4a - 2a

a)

5a

b)

6a

c)

2a

d)

7a

29.

What is the simplified form of 5(x + 2) - 3x?

a)

2x + 10

b)

5x + 2

c)

3x + 10

d)

2x + 5

30.

Identify the inverse function of f(x) = 2x + 3.

a)

f^(-1)(x) = 2x - 3

b)

f^(-1)(x) = x + 3

c)

f^(-1)(x) = 2(x + 3)

d)

f^(-1)(x) = (x - 3) / 2

31.

If f(x) = x^2, what is f^(-1)(x)?

a)

f^(-1)(x) = x^3

b)

f^(-1)(x) = -√x

c)

f^(-1)(x) = x/2

d)

f^(-1)(x) = √x

32.

Solve the inequality: 3x + 5 > 14

a)

x < 5

b)

x > 3

c)

x = 3

d)

x < 3

33.

What are three consecutive integers that add up to 30?

a)

12, 13, 14

b)

10, 11, 12

c)

9, 10, 11

d)

7, 8, 9

34.

If x is an integer, what are the consecutive numbers after 4?

a)

5, 6, 7, ...

b)

1, 2, 3

c)

6, 7, 8

d)

3, 4, 5

35.

Simplify: 2(3x + 4) - 5

a)

3x + 5

b)

2x + 4

c)

6x + 3

d)

6x + 8

36.

What is the value of x in the equation 7 - 2x = 1?

a)

5

b)

3

c)

4

d)

2

37.

If f(x) = 3x - 5, what is f^(-1)(x)?

a)

(3x - 5)/2

b)

(x - 5)/3

c)

(x + 5)/3

d)

3(x - 5)

38.

Balance the equation: 4(x - 1) = 2x + 6

a)

x = 1

b)

x = 3

c)

x = 7

d)

x = 5

39.

What is the simplified form of 6y - 2y + 3?

a)

2y + 3

b)

6y + 3

c)

4y + 3

d)

4y - 2

40.

Identify the inverse function of g(x) = 1/x.

a)

g^(-1)(x) = 1/x

b)

g^(-1)(x) = x^2

c)

g^(-1)(x) = -1/x

d)

g^(-1)(x) = x

41.

Graph the inequality: x + y ≤ 5

a)

Graph the line y = 5 - x and shade above it.

b)

Graph the line y = -x - 5 and shade below it.

c)

Graph the line y = -x + 5 and shade below it.

d)

Graph the line y = x + 5 and shade above it.

42.

What is the value of x in the equation 2x + 3 = 11?

a)

4

b)

5

c)

3

d)

2

43.

Simplify the expression: 7b - 3b + 2b

a)

6b

b)

5b

c)

4b

d)

7b + 2

44.

Solve for z: 8z - 16 = 0

a)

2

b)

4

c)

1

d)

3

45.

If y is an integer, what are the consecutive numbers after 10?

a)

11, 12, 13, ...

b)

8, 9, 10

c)

12, 13, 14

d)

9, 10, 11

46.

If 2x + 4 = 12, what is x?

a)

2

b)

3

c)

4

d)

5

47.

Simplify the expression: 4c + 5c - 3c

a)

6c

b)

5c

c)

7c

d)

2c

48.

Solve the inequality: 2x - 3 < 7

a)

x < 5

b)

x > 4

c)

x = 4

d)

x < 4

49.

What is the simplified form of 8m - 3m + 6?

a)

5m + 6

b)

8m + 6

c)

3m + 6

d)

5m - 6

50.

If 4y + 12 = 28, what is y?

a)

4

b)

3

c)

5

d)

2

51.

Simplify the expression: 6x + 4x - 5x

a)

5x

b)

4x

c)

6x

d)

x

52.

Solve for y: 5y + 10 = 25

a)

3

b)

2

c)

5

d)

4

53.

What is the solution to the equation x^2 - 9 = 0?

a)

x = 3, x = -3

b)

x = 0

c)

x = -6

d)

x = 6

54.

If y = 2x + 5, what is y when x = 3?

a)

8

b)

14

c)

5

d)

11

55.

What is the result of 3(x + 4) - 2x?

a)

3x + 4

b)

x + 12

c)

2x + 12

d)

x + 8

56.

What is the value of x in the equation x/4 + 3 = 6?

a)

12

b)

14

c)

10

d)

8

57.

What is the solution to the inequality 2x - 5 < 3?

a)

x < 4

b)

x = 4

c)

x < 2

d)

x > 4

58.

When you graph an inequality, you used a closed for which symbols?

a)

≤, ≥

b)

<, >

59.

When you graph an inequality, you used a closed for which symbols?

a)

≤, ≥

b)

<, >

60.

"At most" and "no more than" are both phrases that mean the same as which inequality symbol?

a)

<

b)

>

c)

≤

d)

≥

61.

Select all solutions to the inequality below.

x > -5

a)

-3

b)

-5

c)

2

d)

-8

e)

-12

62.

What inequality does the number line graph represent?

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

63.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

64.

Which inequality does the graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

65.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

66.

Which graph matches the inequality

2 > p?

a)

A

b)

B

c)

C

d)

D

67.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

68.

Solve:

-4x + 12 ≤ 60

a)

x ≥ - 12

b)

x ≤ -12

c)

x ≥ -18

d)

x ≤ -18

69.

Solve:

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

70.

Solve the inequality.

12 ≥ 15 - 6y

a)

y ≤ ½

b)

y ≤ 2

c)

y ≥ ½

d)

y ≥ 2

71.

Select all numbers that are in the solution set of the inequality below:

2x + 6 > 12

a)

5

b)

3

c)

1

d)

13

e)

-9

72.

Solve:

8 - 3k < 8(1 - 7k)

a)

k < 5

b)

k > 5

c)

k < -33

d)

k < 0

73.

3x - 2 < 13

a)

x > 3.67

b)

x > 5

c)

x < 5

d)

x < 3.67

74.

.5(x - 8) < 2

a)

x > 20

b)

x < 20

c)

x > 12

d)

x < 12

75.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

76.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

77.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

78.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

79.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

80.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

81.

hint: need to get rid of the 3 first

a)

x ≥ 11

b)

x ≤ 19

c)

x < 11

d)

x > 19

82.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

83.

a)

x < 6

b)

x ≤ 6

c)

x < 5.5

d)

x < 3/2

84.

hint: move 11 first

a)

x ≤ 12

b)

x ≥ 12

c)

x ≥ 14

d)

x ≥ 23

85.

Solve

-2(x + 2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

86.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

87.

Solve the inequality.
-8k - 4 ≤ -60

a)

k < 7

b)

k > 7

c)

k ≤ 7

d)

k ≥ 7

88.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

89.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

90.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

91.

$4\left(y+4\right)\le16$

a)

$y\le0$

b)

No Solution

c)

$y\le2$

92.

5z - 2z - 2 < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

93.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

94.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

95.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

96.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

97.

What does an inverse function do?

a)

Nothing

b)

Makes it bigger

c)

Does the opposite of the original function

98.

Which is f ^-1(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

99.

Select the two functions which are inverses of each other:

a)

$x-4$

b)

$4x$

c)

$\frac{x}{4}$

d)

$\frac{4}{x}$

100.

What is the inverse of the points
(1,3)(2,4)(6,8)

a)

(3,1)(4,2)(8,6)

b)

(-3,-1)(-4,-2)(-8,-6)

c)

(1,3)(2,4)(6,8)

d)

(-1,-3)(-2,-4)(-6,-8)

101.

6(x + 7) + (x+3)

a)

7x + 45

b)

-7x + 45

c)

-7x - 45

d)

7x - 45

102.

What does the term MORE mean in terms of Algebra?

a)

Subtraction

b)

Multiplying

c)

Buying something

d)

Addition

103.

What does the term LESS mean in terms of Algebra?

a)

Subtraction

b)

Take away

c)

Divide

104.

What does the term TIMES mean in terms of Algebra?

a)

Multiply

b)

12:00

c)

Addition

105.

What does the term DIVIDED BY mean in terms of Algebra?

a)

Division

b)

Splitting into groups

106.

Which expression fits the sentence: 5 more than a number times 2.

a)

5n+2

b)

2n+5

c)

n+5+2

d)

2n 5n

107.

What is the pattern/relation from Term Number to Term

Term Number: 1 2 3 4 5 6 7

Number: 4 8 12 16 20 24 28

a)

times by 4 or 4n.

b)

Add 4 or 4+n

c)

Add 1 and add 4 or 1+n 4+n

108.

What is an expression that could fit with this sentence:

I have 7 desks more than I have students in the classroom

a)

n/7

b)

7n

c)

7-n

d)

7+n

109.

What is an expression for this table
Input Output
1 4
2 6
3 8
4 10
5 12

a)

2n+2

b)

4n

c)

4n-2

d)

n+3

110.

What is the expression for the table:

Input Output

1 2

2 5

3 8

4 11

5 14

a)

n+1

b)

2n

c)

3n-1

d)

n+3

111.

What is the difference between an equation and an expression?

a)

There is no difference

b)

An equation has an answer and an expression could have an answer.

c)

Equation can only have one term after the equals sign and an expression could have one or more terms after the equals sign.

d)

An expression we do not know what one quantity is equal to and an equation we know what one quantity is equal to another quantity.

112.

Is this an expression or equation

3n+23=

a)

expression

b)

equation

113.

Is this an expression or an equation

3n+14=26

a)

expression

b)

equation

114.

Zena bought 3 cds and each one costs the same amount. Total cost was $36. What is the equation

a)

3n=36

b)

3+n=36

c)

3x12=36

115.

A number divided by 3 is 10.

a)

3n=10

b)

3-n=10

c)

n/3=10

116.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

117.

8 = x - 1

a)

x = 8

b)

x = 1

c)

x = 7

d)

x = 9

118.

What equation is modeled? Solve the equation.

a)

2x = -4 x = -2

b)

2x = 4 x = 2

c)

2x = 4 x = 8

119.

What equation is modeled? Solve the equation.

a)

x -6 = 13 x = 19

b)

x + 6 = 13 x = 7

c)

x + 6 = 13 x = 8

d)

x - 6 = 13 x = 7

120.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

121.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

122.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

123.

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

124.

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

125.

What is the first step to solve this equation?

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

126.

6 + n/5 = -4

a)

-50

b)

56

c)

50

d)

56

127.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

128.

BONUS! 5(3x + 2) = 40

a)

x = - 2

b)

x = 2

c)

x = 3

d)

x = -3

129.

Write the pattern rule for this pattern:

3,5,7,9,11

a)

Increase by 3, start at 2

b)

Increase by 2, start at 2

c)

Starts at 3, Increase by 2

d)

Starts at 2, Increase by 3

130.

Write the algebraic expression to find any term number for this pattern:

2,6,10,14

a)

2n +4

b)

4n + 2

c)

2n - 4

d)

4n -2

131.

Write the pattern rule for the pattern?

4,6,8,10

a)

Add 2

b)

Starts at 4, Increase by 2

c)

Starts at 2, increase by 4

d)

Starts at 4, decreases by 2

132.

Write an expression for the nth term?

7,10,13,16

a)

7n + 3

b)

7n - 4

c)

3n + 4

d)

3n +7

133.

x= 6

Solve 10+x=?

a)

160

b)

70

c)

16

d)

700

134.

Solve: y (11-2)

y=3

a)

33

b)

22

c)

9

d)

27

135.

Group like terms:

14x -3x +2y- y + 3x

a)

17x +1y

b)

15x +6y

c)

10x +2y

d)

11x +1y

136.

Group like terms:

12x - y +5 - 9x +1

a)

10x -2y -8

b)

3x - y +6

c)

3x + y +6

d)

30x -3y +3

137.

Solve:

6b

b=6

a)

36

b)

12

c)

16

d)

6+b

138.

Rewrite the sentence into an algebraic expression:

The sum of ten times a number and 12

a)

10 x a number +12

b)

10n -12=

c)

10n + 12 =

d)

\frac{10}{n+12}

139.

Solve the following equation.

\frac{B}{2}\ =\ 7

a)

10

b)

11

c)

22

d)

14

140.

Solve.

\frac{T}{2.4}\ =\ 5.6

a)

12.33

b)

13.44

c)

14.55

d)

15.66

141.

$\frac{Z}{6}\ =\ 0.2$ Solve the following equation.

a)

12

b)

1.2

c)

3.4

d)

2.6

142.

$4t\ +\ 5\ =\ 21$

Solve.

a)

3

b)

4

c)

5

d)

6

143.

Solve the following.

6x - 5 = 23 - 4

a)

3

b)

4

c)

5

d)

6

144.

$5x\ +\ 3.1\ =\ 9.6$

Solve.

a)

4.1

b)

3.2

c)

2.4

d)

1.3

145.

Solve: -8 = 4r -13

a)

0.5

b)

1.25

c)

3.7

d)

4

146.

If x=4, what is the value of 2x + 18

a)

20

b)

22

c)

24

d)

26

147.

$6c+d+2c+3d$ =

a)

8c+4d

b)

7c+5d

148.

$-7xy+2xy-xy$ =

a)

8xy

b)

-4xy

c)

-6xy

149.

b + b + b + b + b = 30

a)

b = 6

b)

b = 30

c)

b = 5

d)

b = 2

150.

Solve for x.

3\left(1+7x\right)-7=-88

a)

-12

b)

-4

c)

16

d)

Infinite Solutions

151.

Find three consecutive odd integers whose sum is -45.

a)

-15, -17, -19

b)

-17, -18, -19

c)

-13, -15, -17

152.

What two consecutive even integers have a sum of 90?

a)

30 and 60

b)

43 and 47

c)

44 and 46

d)

10 and 80

153.

Find three consecutive odd integers whose sum is -45.

a)

-15, -17, -19

b)

-17, -18, -19

c)

-13, -15, -17

154.

Find two consecutive integers whose sum is -97.

a)

-48, 49

b)

47, 50

c)

-49, -50

d)

-48, -49

155.

The sum of two consecutive integers is 123. What is the smallest of the two integers?

a)

60

b)

61

c)

62

d)

63

156.

The sum of three consecutive EVEN numbers is -138. What is the smallest of the three numbers?

a)

-48

b)

-45

c)

-46

d)

-47

157.

Which expressions can be used to represent the sum of 3 consecutive odd integers?

a)

n+1, n+2, n+3

b)

n, n+1, n+3

c)

n, n+1, n+2

d)

n, n+2, n+4

158.

The sum of 5 consecutive integers is -240. What are those integers?

a)

46, 47, 48, 49 and 50

b)

-50, -51, -52, -53 and -54

c)

-50, -49, -48, -47 and -46

d)

50, 51, 52, 53 and 54

159.

What two consecutive even numbers have a sum of 90?

a)

30 and 60

b)

43 and 47

c)

44 and 46

d)

10 and 80

160.

The sum of two consecutive numbers is 123. What is the smallest of the two integers?

a)

60

b)

61

c)

62

d)

63

161.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

162.

Find four consecutive odd integers whose sum is 128.

a)

32, 34, 37, 38

b)

27, 29, 31, 33

c)

29, 31, 33, 35

d)

25, 27, 29, 31

163.

Find three consecutive even integers whose sum is 84.

a)

26, 28, 30

b)

28, 30, 32

c)

27, 28, 29

d)

24, 26, 28

Algebra Practise:

Total questions: 163

Worksheet time: 7hrs 49mins

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