Free Printable Awesome 7.4

1.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

2.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

3.

4 + b = 30

a)

-34

b)

34

c)

-26

d)

26

4.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

5.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

6.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

7.

10x = 90

a)

x = 80

b)

x = 100

c)

x = 10

d)

x = 9

8.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

9.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

10.

y/-5 = 20

a)

y = 100

b)

y = -4

c)

y = -100

d)

y = -15

11.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

12.

x ÷ 2 = 12

a)

x = 24

b)

x = 6

c)

x = 20

d)

x = 10

13.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

14.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

15.

Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?

a)

j - 3 = 12

b)

s - 3 = 12

c)

s + 3 = 12

d)

j + 12 = 3

16.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

17.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

18.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

19.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

20.

y - 14 = 66

a)

80

b)

52

c)

79

d)

Answer Not Given

21.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

22.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

23.

x + 40 = 56

a)

x = 16

b)

x = 96

c)

x = 15

d)

x = 10

24.

8 = x - 1

a)

x = 8

b)

x = 1

c)

x = 7

d)

x = 9

25.

Is the solution to x+3=5 greater than, less than, or equal to 5?

a)

Greater than

b)

Less than

c)

Equal to

d)

All of the above

26.

y + 51 = 99

a)

140

b)

150

c)

48

d)

Answer not Given

27.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

28.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

29.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

30.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

31.

26 = 5a + 1

a)

a= 5 ⁴∕₅

b)

a= no solution

c)

a= 0

d)

a= 5

32.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

33.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

34.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

35.

^{(a + 3)}⁄₇= 3

a)

a= 18

b)

a= 21

c)

a= 4

d)

a= 11

36.

50 = 28.1 + 0.15a

a)

a= 150

b)

a= 146

c)

a= 6

d)

a= 155

37.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

38.

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.

39.

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

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

40.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

41.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

42.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

43.

5x+4=^-6

a)

2

b)

-2

c)

10

d)

15

44.

m / 2 = 10

a)

m = 5

b)

m = -20

c)

m = 20

d)

m = -5

45.

-4y = 48

a)

y = -52

b)

y = -44

c)

y = 12

d)

y = -12

46.

6b = 30

a)

b = 36

b)

b = 5

c)

b = 24

d)

b = 180

47.

Solve for the variable in the questions below:
1) 5 + x = 25

a)

x = 30

b)

x = 5

c)

x = 20

d)

x = -20

48.

3 = 5x - 12

a)

2 = x

b)

4 = x

c)

3 = x

d)

-1 = x

49.

y/3 + 6 = 9

a)

15

b)

9

c)

3

d)

12

50.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

51.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

52.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

53.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

54.

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

a)

1

b)

2

c)

3

d)

4

55.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

56.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

57.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

58.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

59.

a)

A

b)

B

c)

C

d)

D

60.

Solve.
(x/4) + 10 = 34

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

61.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

62.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

63.

Solve:
4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

64.

If b = 4, what is 2b - 5 equal to?

a)

3

b)

4

c)

5

d)

6

65.

If c = 29, what is 100 - c equal to?

a)

129

b)

71

c)

61

d)

2900

66.

If a = 40, what is a/5 equal to?

a)

45

b)

35

c)

8

d)

5

67.

If x = 14, what is 26 + x equal to?

a)

12

b)

50

c)

2614

d)

40

68.

If y = 2.50, what is 3y equal to?

a)

5.50

b)

7.50

c)

2.53

d)

2.80

69.

If b = 6 and c = 1, what is b² - 4c equal to?

a)

8

b)

16

c)

32

d)

35

70.

Which value of k is a solution to 3 + k = 21?

a)

18

b)

24

c)

7

d)

6

71.

Which value of x is a solution to 6x = 54?

a)

48

b)

7

c)

9

d)

6

72.

Which value of w is a solution to w/3 = 12?

a)

24

b)

9

c)

15

d)

36

73.

Which value of t is a solution to 20 - t = 12?

a)

32

b)

8

c)

16

d)

11

74.

Which value of x is a solution to 3x + 6 = 21?

a)

3

b)

4

c)

5

d)

6

75.

Which value of y is a solution to 1 + 4y = 33?

a)

5

b)

6

c)

7

d)

8

76.

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

a)

40

b)

42

c)

44

d)

46

77.

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

a)

34

b)

36

c)

35

78.

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

a)

11

b)

22

c)

20

79.

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

a)

4

b)

3

c)

6

80.

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

a)

-1

b)

-2

c)

-3

d)

-4

81.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

82.

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

a)

11

b)

22

c)

20

83.

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

a)

8

b)

9

c)

10

d)

11

84.

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

a)

2

b)

3

c)

4

85.

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

a)

27

b)

12

c)

17

86.

4x + 10 =

Substitute a 3 in for x and solve.

a)

17

b)

22

c)

2

d)

17x

87.

2f + f

a)

3f

b)

2f

c)

f

88.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

89.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

90.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

91.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

92.

Collect like terms:
4y + 8d - 2y + 3d

a)

11d + 6y

b)

11d + 2y

c)

6y + 5d

93.

5a + 2a + 2a

a)

9a

b)

8a

c)

7a

94.

Simplify the expression:
3t + 7y + t + 3y

a)

3t + 10y

b)

4t + 10y

c)

4t + 4y

95.

3b + b - 2b

a)

3b

b)

b

c)

2b

96.

6x + 2x + 1 + 4

a)

8x + 5

b)

2x - 3

c)

4x - 2

d)

8x + 12

97.

Simplify: 4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

98.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

99.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

100.

Which property is this an example of?
8 x (3 x 7) = (8 x 3) x 7

a)

Associative Property of Addition

b)

Identity Property of Multiplication

c)

Identity Property of Addition

d)

Associative Property of Multiplication

101.

Which property is this an example of?
x + 5 = 5 + x

a)

commutative property of addition

b)

associative property of addition

c)

additive identity

102.

a)

Yes

b)

No

103.

Which property is this an example of?
9 x 1 = 9

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Multiplicative Inverse

104.

How many terms are in the following expression?
8n + 2 - 7x

a)

1

b)

2

c)

3

d)

4

105.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

106.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

107.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

108.

3b + b - 2b

a)

3b

b)

b

c)

2b

109.

Collect like terms:
4y + 8d - 2y + 3d

a)

11d + 6y

b)

11d + 2y

c)

6y + 5d

110.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

111.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

112.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

113.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

114.

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

a)

x=8

b)

x=3

c)

x=11

d)

x=5

115.

x + y = 3
2x - y = 6

a)

x = 0, y = 3

b)

x = 3, y = 0

c)

x = 1, y = 2

d)

x = 2, y = 1

116.

4x - y = 3
2x + y =5

a)

x= 1, y =1

b)

x = 1, y = 2

c)

x = 4/3, y= 7/3

d)

x = 7/3, y = 4/3

117.

6a - 3b = 4
4a - 3b = 8

a)

a = -2, b = -16/3

b)

a = -16/3, b = -2

c)

a = 1, b = 2/3

d)

a = 2, b = 0

118.

4x - y = 3
4x - 3y = 7

a)

x = 2, y = 5/3

b)

x = 1, y = 1

c)

x = -2, y = 1/4

d)

x = 1/4, y = -2

119.

A man is three times as old as his daughter. If the difference in their ages is 36 years, find the age of the father and daughter.

a)

20 and 56

b)

18 and 54

c)

22 and 58

d)

15 and 45

120.

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

a)

59 adults and 141 children

b)

40 adults and 160 children

c)

60 adults and 140 children

d)

41 adults and 159 children

121.

A man has 100 shares of stock A and 200 shares of stock B. The total value is $420. If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $402. Find the price of each share.

a)

A = $2, B = $1

b)

A = $1, B = $2

c)

A = $1.20, B = $1.80

d)

A = $1.80, B = $1.20

122.

Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.

a)

15 and 20

b)

5 and 15

c)

15 and 10

d)

5 and 10

123.

A rectangle has a perimeter of 40cm. If the length is reduced by 5cm and 5cm is added to the width, it becomes a square. Find the dimensions of the rectangle.

a)

20 and 10

b)

10 and 5

c)

15 and 10

d)

15 and 5

124.

Solve the simultaneous equations (there are two separate solutions):
y = x² + 7x - 2
y = 2x - 6

a)

x = 4, y = 2; x = 3, y = 5

b)

x = -4, y = 2; x = -1, y = -8

c)

x = -2, y = -10; x = 3, y = 0

d)

x = 1, y = -4; x = 0; y = -6

125.

Which of the following methods is NOT suitable for solving a pair of simltaneous equations?

a)

Graphical

b)

Substitution

c)

Unitary

d)

Elimination

126.

We would use the graphical method to solve simultaneous equations when....

a)

we have both equations with x as the subject

b)

we have a pair of table of values completed

c)

we have the solution already

d)

we have a pair of equations where neither is expressed with a subject

127.

What is the gradient of the blue line?

a)

2

b)

-2

c)

(-1, 2)

d)

x = -1

128.

Which method should be used to solve this pair of simultaneous equations?

a)

Graphical

b)

Substiution

c)

Elimination

d)

cannot solve these equations

129.

Which method should be used to solve this?

a)

Elimination

b)

Substitution

c)

Graphical

d)

Unitary

130.

Solve:

y = x + 5

y = 5x − 3

a)

x = 7

y = 2

b)

x = 2

y = 7

c)

x = -2

y = -3

d)

x = 0.5

y = 5.5

131.

Solve:

5x + 3y = 18

y = 5 − x

a)

x = 0.75

y = 4.25

b)

x = 2.5

y = 2.5

c)

x = 0

y = 5

d)

x = 1.5

y = 3.5

132.

Solve:

2x + 5y = 12

3x − 5y = 8

a)

x = 1

y = 2

b)

x = 4

y = 0.8

c)

x = -0.5

y = 3.3

d)

x = 6

y = 0

133.

Solve:

3x + 2y = 10

3x − 4y = 4

a)

x = 1

y = 3.5

b)

x = -0.75

y = 7

c)

x = 2⅔

y = 1

d)

x = 1⅓

y = 2⅓

134.

Solve

3k + 4m = 9

2k − 4m = 6

a)

k = 5

m = -1.25

b)

k = 0

m = 1.5

c)

k = 6/5

m = 8.1

d)

k = 3

m = 0

135.

Solve
y - 4 > 12

a)

y > 16

b)

y < 16

c)

y > 8

d)

y < 8

136.

Solve
-19 ≤ 8 + k

a)

-27 ≤ k

b)

-11 ≤ k

c)

-27 ≥ k

d)

-11 ≥ k

137.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

138.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

139.

What inequality does the number line graph represent?

a)

-x + 4 ≥ -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 ≥ 13

140.

-3x ≥ 9

a)

x ≥ 12

b)

x ≥ -3

c)

x ≤ -3

d)

x ≤ -12

141.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

142.

Use the Distributive Property to solve the equation.
4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

143.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

144.

Name the x- and y-intercepts for the equation:
2x + y = 6

a)

(0, 3) and (6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, 6)

d)

(-3, 0) and (0, -6)

145.

The symbol ≤ means:

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

e)

equal to

146.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

147.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

Awesome 7.4

Total questions: 147

Worksheet time: 7hrs 16mins

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