Free Printable JG Review 10/24

1.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

2.

$3x+2\ =\ -25$

a)

$x\ =\ -8$

b)

$x\ =\ -9$

c)

$x\ =\ 9$

d)

$x\ =\ 24$

3.

-8x + 9 = 33

a)

3

b)

50

c)

16

d)

-3

4.

What is the FIRST step in solving a two step equation?

a)

multiply or divide

b)

add or subtract

5.

Which equation below represents the algebra tiles?

a)

$3x-2=4$

b)

$-3x-2=4$

c)

$3x+2=4$

6.

What is the FIRST step in solving this equation?

a)

subtract 3 from each side

b)

add three to each side

c)

subtract 2 from each side

d)

add 2 to each side

7.

Use the model to to write the equation and SOLVE

a)

1

b)

-1

c)

2

d)

-2

8.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

9.

Solve for x:

4x + 1 = 5

Write your answer as a whole number (Simplify)

(a)

10.

Solve 2x - 3 = 1

(a)

11.

Use the model to to write the equation and SOLVE

a)

1

b)

-1

c)

2

d)

-2

12.

Solve. Check your answer.

5x+12=-13

(a)

13.

2x + 6 = 12

(a)

14.

3x + 2 = 44

x = (a)

15.

To solve a two-step equation, first you undo any (a) or (b) . Then you undo any (c) or (d) .

Choose from the below words

addition

subtraction

multiplication

division

16.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

a)

Addition

1.

Subtraction

b)

Subtraction

2.

Addition

c)

Multiplication

3.

Division

d)

Division

4.

Multiplication

17.

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.

18.

The steps in solving 5b - 6 = 24 are:

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

19.

What is the first step to solve this equation: $35=12-11x$

a)

Add 11 to both sides

b)

Subtract 12 from both sides

c)

Add 12 to both sides

d)

Divide -11 on both sides.

20.

Solve 2x - 3 = 1

(a)

21.

$\frac{x}{5}-13=20$

(a)

22.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

23.

a)

145

b)

165

c)

180

d)

190

24.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

25.

Solve for x. $\frac{x}{7}-8=16$

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

26.

Solve for x:

$\frac{7+x}{2}=\ 14$

a)

x = 35

b)

x = 0

c)

x = 21

d)

x = 14

27.

What is/are the coefficient(s) of
2x + 9 + 7x?

a)

2, 9, 7

b)

2, 7

c)

2x, 7x

d)

9

28.

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

29.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

30.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

31.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

32.

Rewrite the expression by combining like terms.
4x² – 2x² + 2y + 6y² – y + x²

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 7y² + y

33.

Simplify by combining like terms:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

34.

Simplify by combining like terms:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

35.

Simplify by combining like terms:

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

36.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

37.

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

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

38.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

39.

-v +12v

a)

11v

b)

-9v

c)

0

d)

11

40.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

41.

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

42.

Simplify: 5(y + 10)

a)

5y + 50

b)

5y + 10

c)

5y + 15

d)

5y + 5

43.

Simplify: -9(x - 4)

44.

Match the following each expression with what it would be AFTER you distribute.

a)

6(x - 3)

1.

6x - 18

b)

6(x + 3)

2.

6x + 18

c)

-6(x - 3)

3.

-6x + 18

d)

-6(x + 3)

4.

-6x - 18

45.

Simplify: -4(2x - 5)

a)

-8x + 20

b)

-8x - 20

c)

-8x - 5

d)

-2x - 9

e)

-2x - 1

46.

Simplify: -6(3x - 9)

47.

Match each expression with what it would be AFTER you distribute.

a)

2(4x - 8)

1.

8x - 16

b)

2(4x + 8)

2.

8x + 16

c)

-2(4x - 8)

3.

-8x + 16

d)

-2(4x + 8)

4.

-8x - 16

48.

Simplify: 12 + 4(x - 5) + 7x

a)

12 + 4x - 20 + 7x

b)

11x - 8

c)

11x + 7

d)

3x - 8

49.

Simplify: -7 + 3(x - 8) - 8x + 3

50.

Simplify: 3x + 2y + 4(x - 2y) + 7

a)

7x - 6y + 7

b)

7x + 7

c)

7x + 10y + 7

d)

17xy + 7

e)

7x + 6y + 7

51.

Simplify: 2x - 6y + 3(2x - 5y) + 17

52.

a)

35x+7

b)

35x-1

c)

35x-7

d)

-35x-7

53.

-4(8r + 3)

a)

-32r - 12

b)

32r - 12

c)

-32r + 12

d)

32r + 12

54.

a)

50x+25

b)

-50x-25

c)

-50x+25

d)

50x-5

55.

a)

-45x+72

b)

45x+72

c)

-45x-72

d)

45x-72

56.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

57.

(x + 10) (-2)

a)

-2x + 20

b)

-2x - 20

c)

2x - 20

d)

2x + 20

58.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

59.

(-n + 3) (-8)

a)

n - 5

b)

n + 24

c)

8n - 24

d)

-8n - 24

60.

9 (2x + 5x)

a)

90x

b)

18x + 45

c)

18 + 45x

d)

63x

61.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

62.

What is the simplified version of this expression? $7\left(5x-1\right)$

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

63.

What is the simplified version of this expression? $4(-p-6)$

a)

$4p-24$

b)

$4p+24$

c)

$-4p+24$

d)

$-4p-24$

64.

Simplify the expression:
3(2h + 3c + 2)

a)

6h + 9c + 2

b)

6h + 9c + 6

c)

2h + 3c + 6

d)

5h + 6c + 5

65.

Simplify the expression:
6(x - 3 + 5y)

a)

6x + 18 - 30y

b)

6x 18 30y

c)

6x + 18 + 30y

d)

6x - 18 + 30y

66.

-2(3x + 4 + x – 7)

a)

-6x + -8

b)

-8x + -22

c)

-6x + -22

d)

-8x + 6

67.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

68.

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

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

69.

Simplify
-2x - 4(4x - 8)

a)

-16x - 2

b)

-18x + 32

c)

18x - 32

d)

-16x + 2

70.

Simplify the following expression:
x + 4 - 7(x - 5)

a)

-33x + 19

b)

-47x² + 21

c)

33x - 19

d)

-6x + 39

71.

8x-6(3-2x)

a)

20x-18

b)

-6x+21

c)

20x-18

d)

5x+18

72.

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

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

73.

a)

0

b)

1

c)

3

d)

5

74.

a)

3

b)

7

c)

12

d)

8

75.

a)

36

b)

40

c)

12

d)

24

76.

a)

16

b)

12

c)

8

d)

4

77.

a)

30

b)

48

c)

56

d)

6

78.

a)

0

b)

5

c)

20

d)

15

79.

a)

50

b)

16

c)

27

d)

35

80.

a)

27

b)

31

c)

37

d)

42

81.

a)

4

b)

8

c)

12

d)

1

82.

a)

8

b)

2.4

c)

10

d)

-4

83.

3xz-z; use x=6, and z = 2

a)

12

b)

24

c)

34

d)

45

84.

6² − zy; use y = 6, and z = 5

a)

11

b)

6

c)

3

d)

14

85.

m+n− n÷ 5; use m = 3, and n = 5

a)

2

b)

3

c)

4

d)

7

86.

q(3 + m + p) + m; use m = 4, p = 3, and q = 4

a)

31

b)

44

c)

51

d)

61

87.

m × 2q ÷ 2 + m; use m = 4, and q = 5

a)

24

b)

52

c)

62

d)

72

88.

y + y − (z − 6 ÷ 6); use y = 6, and z = 5

a)

5

b)

6

c)

7

d)

8

89.

z² + 4 - y; use y = 4, and z = 2

a)

0

b)

2

c)

4

d)

6

90.

4x÷4 - y; use x = 4, and y = 1

a)

15

b)

3

c)

7

d)

8

91.

6² + qp + p; use p = 2, and q = 2

a)

41

b)

42

c)

18

d)

20

92.

2(z + x + z ÷ 5); use x = 2, and z = 5

a)

10

b)

12

c)

14

d)

16

93.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

94.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

95.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

96.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

97.

The product of seven and j..

a)

7j

b)

j+3

c)

j-3

d)

j/3

98.

Five times Mike's age, increased by nine

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

99.

4 divided by the sum of a number and 12

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

100.

5 more than the product of 7 and s

a)

7s + 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

101.

the sum of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

102.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

103.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

104.

5 times a number, minus 8

a)

5m - 8

b)

5(m + 8)

c)

8m + 5

d)

8(m + 5)

105.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

a)

True

b)

False

106.

Write an algebraic expression for:
14 decreased by a number

a)

14+n

b)

14-n

c)

n-14

d)

14 decreased by a number

107.

The product of 6 and y..

a)

6 + y

b)

6y

c)

y - 6

d)

y / 6

108.

The quotient of 15 and a number plus 1

a)

15 / g - 1

b)

15 / g + 1

c)

g / 15 + 1

d)

g + 1 / 15

109.

s increased by 3

a)

s - 3

b)

3s

c)

s + 3

d)

s / 3

110.

18 times a number

a)

n - 18

b)

18n

c)

18 + n

d)

18 - n

111.

5 less than r

a)

5 - r

b)

r - 5

c)

5r

d)

r + 5

112.

r less than 5

a)

r - 5

b)

5 - r

c)

r + 5

d)

5 + r

113.

"times"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

114.

"total"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

115.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

116.

Write an algebraic expression for:
three times a number plus 16

a)

3(16)+n

b)

16n+3

c)

3n+16

117.

Translate the sentence into an equation.
Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

118.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

4 + 6x = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

not enough info

119.

How would you translate
x - 5 = 12 into words?

a)

x - 5 = 12

b)

The product of x and 5 is twelve

c)

x less than 5 is 12

d)

Five less than x is 12.

120.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

121.

4 less than x

a)

4 - x

b)

x - 4

c)

4x

d)

-4x

122.

"difference of"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

123.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

124.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

125.

The product of seven and j..

a)

7j

b)

j+3

c)

j-3

d)

j/3

126.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

127.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

a)

True

b)

False

128.

Write an algebraic expression for:
14 decreased by a number

a)

14+n

b)

14-n

c)

n-14

d)

14 decreased by a number

129.

s increased by 3

a)

s - 3

b)

3s

c)

s + 3

d)

s / 3

130.

18 times a number

a)

n - 18

b)

18n

c)

18 + n

d)

18 - n

131.

5 less than r

a)

5 - r

b)

r - 5

c)

5r

d)

r + 5

132.

"times"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

133.

"total"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

134.

"difference of"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

135.

"Combined" represents what operation?

a)

Subtraction

b)

Addition

c)

Multiplication

d)

Division

136.

Write a verbal expression for:
2a+6

a)

6 more than the product of 2 times a

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

137.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

138.

the quotient of a number and 4

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

139.

the sum of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

140.

5 more than the product of 7 and s

a)

7s + 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

141.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

142.

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

143.

the difference if 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

144.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

145.

4 less than x

a)

4 - x

b)

x - 4

c)

4x

d)

-4x

146.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

147.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

148.

It costs $25 to rent a car each day and $0.95 per mile.
Which expression represents the cost of the rental for one day?

a)

.95x + 25

b)

.95 + x + 25

c)

.95 + 25x

149.

Which algebraic expression represents
"six less than a number"?

a)

6/k

b)

k/6

c)

6 - k

d)

k - 6

150.

Ten decreased by four times a number.

a)

10 - 4x

b)

4x - 10

c)

10 - x

d)

10/4x

151.

Translate this phrase into an algebraic expression.
2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

152.

The total of n and 9 decreased by 6

a)

$\left(n+9\right)-6$

b)

$\left(n-9\right)=6$

c)

$9n-6$

d)

$n+9-6$

153.

Eight less than the sum of a and 3.

a)

$8-\left(a+3\right)$

b)

$\left(a+3\right)-8$

c)

$\left(a-3\right)-8$

d)

$3a-8$

154.

A number squared increased by 1

a)

1+√2

b)

x²+1

c)

x²-1

d)

_{√2 +1}

155.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

156.

Translate this phrase into an algebraic expression.
2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

157.

Translate this phrase into an algebraic expression.
4 divided by the sum of a number and 12

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

JG Review 10/24

Total questions: 157

Worksheet time: 10hrs 34mins

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