Free Printable Unit 2 Extra Practice

1.

3(10a + 5)

(a)

2.

2 (9 + 2g)

(a)

3.

4(2b + 3)

(a)

4.

6(6k - 2)

(a)

5.

6(8 + 2y)

(a)

6.

3(3t - 8)

(a)

7.

9(4 + 9n)

(a)

8.

2(8 - 3e)

(a)

9.

3(4 - 4r)

(a)

10.

10(9a + 8b + 7c)

(a)

11.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

12.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

13.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

14.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

15.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

16.

3x²-x+2-5x²+8x-5

a)

8x²+9x+7

b)

-2x²+7x-3

c)

2x²+7x-3

d)

5x²-3

17.

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

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

18.

Simplify: $7y^2\ -5y\ +\ 9y\ -\ 5y^2$

a)

$6y^{2\ }$

b)

$2y^{2\ }+\ 4y\$

c)

$12y^{2\ }+\ 14y$

d)

Can't be simplified

19.

Simplify: 8x² + 5x + 2y + x

a)

14x + 2y

b)

13x²+ 2y + x

c)

8x² + 6x + 2y

d)

8x² + 7xy + x

20.

Simplify:

8y² + 7xy – 2y² - 5xy + 2x

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6xy + y

21.

Which expression is equivalent to 5 x 18?

a)

5(10 x 18)

b)

5(10 + 8)

c)

5(8)

d)

18(5 + 10)

22.

Which expression is equivalent to 30 x 75?

a)

30(7 + 5)

b)

30 + 70 + 5

c)

30(25 x 3)

d)

30(70 + 5)

23.

Which expression is equivalent to 35 x 7?

a)

7(5 x 7)

b)

7(31 x 4)

c)

7(30 + 5)

d)

35(7 + 28)

24.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

25.

Expand and simplify 3(2z + 1) - 2(5 + z).

a)

4z - 7

b)

7z - 7

c)

8z - 7

d)

4z + 13

26.

Write an equation for the model above.

a)

x + 3 = -9

b)

x - 3 = 9

c)

3x + 1 = 9

d)

3x - 1 = 9

27.

What equation is modeled?

a)

3 = 6

b)

3x = 6

c)

x = 6

d)

3 = 6x

28.

Which equation matches this model?

a)

7x + 3 = 23

b)

2x + 4= 10

c)

3x - 8 = 3

d)

4x + 3 =9

29.

Write the equation for the model. (white square=1 rectangle=x red square = -1)

a)

7=x+3

b)

7=x+(-3)

c)

7=-x+3

d)

-7=x-3

30.

Using the model, write the equation.

a)

6 = 2+x;

b)

6 = -2x;

c)

-6 = 2x;

d)

6 = 2x;

31.

Solve for x

a)

x = 4

b)

x = 1

c)

2x = 4

d)

x = 2

32.

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

33.

Write the equation of this model

a)

2 = 4

b)

2x = 4

c)

2x = 4x

d)

20 = 4

34.

Solve:
7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

35.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

36.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

37.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

38.

Solve:
5y + 34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

39.

Solve the equation:
4x - 5x + 9 = 5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

40.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

41.

8w - 8 = - 4x + 16

a)

8

b)

16

c)

24

d)

2

42.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

43.

An equation is modeled. What value of x makes the equation true?

a)

A) -3

b)

B) 1

c)

C) -1

d)

D) 3

44.

An equation is modeled. What value of x makes the equation true?

a)

A) 2

b)

B)-2

c)

C) 1

d)

D) -1

45.

What value of the equation is true?

a)

A) -2

b)

B) 4

c)

B) 2

d)

D) 0

46.

The model represents an equation. What value of x makes the equation true?

a)

A) x = 1

b)

B) x = 3

c)

C) x = 10

d)

D) x = 2

47.

The model represents an equation. What is the solution for this equation?

a)

A) x = 2

b)

B) x = 3

c)

C) x = 9

d)

D) x = 4

48.

Write the equation of this model

a)

4 = 9

b)

2x + 2 = x + 8

c)

2 + 2 = 1 + 8

d)

2x + 1 = x + 1

49.

Write the equation of this model

a)

3x -4 = 2x + 1

b)

3x -4 = x + 2

c)

3x + 4 = x +2

d)

34 = 12

50.

Write the equation of this model

a)

4x + 3 = 2x + 9

b)

3x + 4 = 9x + 9

c)

43 = 29

d)

x + 3 = x + 9

51.

Write the equation of this model

a)

x + 18 = 2x + 6

b)

18x + 1 = 6x + 2

c)

38 = 26

d)

x + 18 = x + 6

52.

Write the equation of this model

a)

-3x + 6 = 2x - 9

b)

-6x + 3x = -9x + 2

c)

3x + 6 = 2x - 9

d)

3x - 6 = -2x + 9

53.

Write the equation of this model

a)

-x + 12 = 2x - 6

b)

x + 12 = 2x + 6

c)

x - 12 = -2x + 6

d)

22 = 26

54.

Write the equation of this model

a)

-3x + 8 = 4x - 6

b)

3x + 8 - 4x + 6

c)

3x - 8 = -4x + 6

d)

38 = 46

55.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

56.

13y - 18 = -5y + 36

a)

y = 3

b)

y = -3

c)

y= 9

d)

y = -9

57.

3y + 16 = 5y

a)

y = 8

b)

y = -8

c)

y = 1/8

d)

y = -1/8

58.

9m + 14 = 2m

a)

m = -2

b)

m = 2

c)

m = 1/2

d)

m = -1/2

59.

13x = 32 + 5x

a)

x = 4

b)

x = -4

c)

x = 1/4

d)

x = -1/4

60.

8d - 25 = 3d

a)

d = 5

b)

d= -5

c)

d = 1/5

d)

d = -1/5

61.

7p - 5 = 6p + 8

a)

p = 13

b)

p = -13

c)

p = 1/13

d)

p = - 1/13

62.

11z - 5 = 9z + 7

a)

z= 6

b)

z = -6

c)

z = 1/6

d)

z =-1/6

63.

12 - 5k = k + 6

a)

k = 1

b)

k -1

c)

k= 1/2

d)

k = -1/2

64.

4 - 7f = f - 12

a)

f = 2

b)

f = -2

c)

f= 1/2

d)

f = -1/2

65.

-6y + 17 = 3y - 10

a)

y = 3

b)

y = -3

c)

y = 1/3

d)

y = -1/3

66.

3x - 32 = -7x + 28

a)

x = 6

b)

x = -6

c)

x = 1/6

d)

x = -1/6

67.

3x - 32 = -7x + 28

a)

x = 6

b)

x = -6

c)

x = 1/6

d)

x = -1/6

68.

16.8 - v = 6v

a)

v = 2.4

b)

v = -2.4

c)

v= 2

d)

v = 4

69.

4( x + 2) = 16

What is the solution to the equation?

a)

-2

b)

0

c)

1

d)

2

70.

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

What is the solution to the equation?

a)

4

b)

3

c)

2

d)

1

71.

$1\ +\ 3p\ +\ 6\ =\ 3p\ +\ 15$

a)

-2

b)

-16

c)

All Real Numbers

d)

No Solution

72.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

73.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

74.

Solve the equation

4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

75.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

76.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

77.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

78.

Solve: -2x + 18 = 2x + 40

a)

x = -5.5

b)

x = 6.5

c)

x = -4.5

d)

x = 5.5

79.

Solve: 4x - 3 = 6x - 19

a)

x = -8

b)

x = 11

c)

x = -11

d)

x = 8

80.

Solve: 12x + 1 = 6x - 47

a)

x = 6

b)

x = -7

c)

x = -8

d)

x = 9

81.

Solve: -3x + 20 = 2x - 40

a)

x = 15

b)

x = 12

c)

x = -15

d)

x = -12

82.

Solve: 14x + 16 = 13x - 42

a)

x = 62

b)

x = -65

c)

x = -58

d)

x = -47

83.

Solve: 11x - 44 = 9x - 20

a)

x = 12

b)

x = 32

c)

x = -12

d)

x = -32

84.

Solve: 5 + 12x = 5x + 47

a)

x = 5

b)

x = 6

c)

x = 7

d)

x = 8

85.

Solve: 9 - 4x = 12x + 25

a)

x = 2

b)

x = 1

c)

x = -3

d)

x = -1

86.

Solve: -4x + 1 = 6x + 71

a)

x = -7

b)

x = -10

c)

x = 7

d)

x = 10

87.

Solve: 14x - 4 = 19x - 19

a)

x = -4

b)

x = 3

c)

x = 7

d)

x = -5

88.

Solve: 4x + 17 = 11x + 17

a)

x = 1

b)

x = 17

c)

x = -7

d)

x = 0

89.

Solve: 10x + 17 = 15x - 73

a)

x = -19

b)

x = 18

c)

x = -18

d)

x = 19

90.

$1.25\left(4x-10\right)=7.5$

Which value of x makes the equation true?

a)

3.5

b)

-1

c)

-0.5

d)

4

91.

$56=2(5a+3)$

a)

a = 5

b)

a = 0

c)

a = 6

d)

a = -4

92.

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

93.

$-\left(6m+8\right)=4\left(17-m\right)$

What is the solution to the equation?

(a)

94.

$34x+95=3\left(14x+9\right)$

What is the solution to the equation?

(a)

95.

$8x-3\left(2x-4\right)=3\left(x-6\right)$

What is the solution to the equation?

a)

6

b)

2

c)

30

d)

No solution

96.

$0.75\left(x+20\right)=2+0.5\left(x-2\right)$

Which value of x makes the equation true?

a)

64

b)

-64

c)

56

d)

-56

97.

$-5x-\left(-7-4x\right)=-2\left(3x-4\right)$

What value of x makes the equation true?

a)

x = 3

b)

x = 5

c)

$x\ =\ \frac{1}{3}$

d)

$x=\frac{1}{5}$

98.

$0.3\left(12x-16\right)=0.4\left(12-3x\right)$

What is the solution to the equation?

a)

-2

b)

4

c)

2

d)

-4

99.

Solve.

$\frac{(2x-3)}{4}=9$

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

100.

Solve.

6x + 4(x-5) = 1 + 15x + 14

a)

-7

b)

7

c)

5

d)

-5

101.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

102.

a)

x > 1

b)

x > -1

c)

x < 1

d)

x < -1

103.

a)

x < 1

b)

x < -1

c)

x > 1

d)

x > -1

104.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ 4

d)

a ≤ -4

105.

a)

m < 6

b)

m < -6

c)

m > 6

d)

m > -6

106.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

107.

8g − 5g − 4 ≤ -3 + 3g

a)

g ≤ 0

b)

g ≤ 1

c)

All Real Numbers

d)

No Solution

108.

6(L+3) < 3(2L+6)

a)

L > 0

b)

L < 0

c)

All real numbers

d)

No solution

109.

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

a)

1.75 + 0.65m < 10

b)

1.75 + 0.65m > 10

c)

1.75m + 0.65 < 10

d)

1.75m + 0.65 > 10

110.

Renting games online from Netwii costs $3.33 per game with no monthly fee. Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

a)

3.33v > 2v + 10

b)

3.33v + 10 > 2v

c)

3.33v < 2v + 10

d)

3.33v + 10 < 2v

111.

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

a)

80+9.50x > 120+7.50x

b)

80+9.50x < 120+7.50x

c)

80x+9.50 > 120x+7.50

d)

80x+9.50 < 120x+7.50

112.

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

a)

30 + 20x < 15 + 30x

b)

30x + 20 < 15x + 30

c)

30 + 20x > 15 + 30x

d)

30x + 20 > 15x + 30

113.

Choose the situation that could represent the inequality:
25 – x < 15 + x

a)

Kasey has a gift card for $25. She buys a $15 CD and as many decals as she can buy with the rest of the gift card. How many decals can she buy?

b)

The school band has 25 people, and the theater class has 15 people. How many people must move from the band class to the theater class for the theater class to be as big or larger than the school band?

114.

Which inequality is represented by the words " more than"?

a)

<

b)

>

c)

≤

d)

≥

115.

Which inequality is represented by the words " at least"?

a)

<

b)

>

c)

≤

d)

≥

116.

Mona is ordering cups for her school. Company A charges $3.50 for each cup and a one-time starter fee of $14. Company B charges $0.50 for each trophy and a one-time starter fee of $22.
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?

a)

3.5x + 14 < 0.5x + 22

b)

3.5x + 14 > 0.5x + 22

c)

3.5 + 14x < 0.5 + 22x

d)

3.5 + 14x > 0.5 + 22x

117.

Renting games online from Netwii costs $3.33 per game with no monthly fee. Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

a)

3.33v > 2v + 10

b)

3.33v + 10 > 2v

c)

3.33v < 2v + 10

d)

3.33v + 10 < 2v

118.

The inequality shown below represents fees for two different apartments.

500x + 700 < 650x + 200

Which situation below does this inequality represent?

a)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

b)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

c)

Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

d)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.

119.

Which inequality is represented by the words " at least"?

a)

<

b)

>

c)

≤

d)

≥

120.

30b + 53 ≥ 18b − 83

a)

b≥−11.3333

b)

b≥-14 2/3

c)

b>8

d)

-b<12

121.

Which inequality is represented by the words " more than"?

a)

<

b)

>

c)

≤

d)

≥

122.

54x + 64 ≥ 49x + 59

a)

x≥−1

b)

x≤-1

c)

x>9

d)

x<-3

123.

Which inequality is represented by the words " no more than" or "at most"?

a)

<

b)

>

c)

≤

d)

≥

124.

Solve:
11x + 16 < 43 + 2x

a)

x < 5

b)

x < 3

c)

x > 5

d)

x > 3

125.

Twice a certain number, increased by 5, is less than three times the same number.

a)

2x + 5 > 3x

b)

2x + 5 < 3x

c)

2x + 5 ≤ 3x

d)

2x + 5 ≥ 3x

126.

Renting games online from Netwii costs $3.33 per game with no monthly fee. Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

a)

3.33v > 2v + 10

b)

3.33v + 10 > 2v

c)

3.33v < 2v + 10

d)

3.33v + 10 < 2v

127.

The inequality shown below represents fees for two different apartments.

500x + 700 < 650x + 200

Which situation below does this inequality represent?

a)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

b)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

c)

Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

d)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.

128.

Papaya charges $5 per DVD rental and a $10 membership fee. Hutto charges $2 per DVD and a $60 membership fee. Which inequality best represents when the charges from Papaya is less than Hutto?

a)

10 + 5d < 60 + 2d

b)

10 + 5d > 60 + 2d

c)

10d + 5 < 60d + 2

d)

12d > 70

129.

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

a)

25 - 12x ≥ 200

b)

25 + 12x ≥ 200

c)

13x ≥ 200

d)

25 + 12x > 200

130.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

131.

Which situation best represents the following equation?

25 + .05x = 50 + .01x

a)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $50 plus 5 cents per minute. Cellular Plus charges $25 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

b)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus $5 per minute. Cellular Plus charges $50 plus $1 per minute. How many minutes can be used in one month to make the two companies charge the same amount?

c)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50. How many minutes can be used in one month to make the two companies charge the same amount?

d)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

132.

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

a)

150x + 24 = 180 + 20x

b)

150 + 24x = 180 + 20x

c)

180 - 150 = 24 x + 20x

d)

150 - 24x = 180 - 20x

133.

Which inequality can be represented by the inequality 20x + 50 < 25x

a)

Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will deposit $25 in the account each week. How many weeks will it take for Greg to have more money saved than Lauren?

b)

Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will put $25 in the account each week. How many weeks will it take for Lauren to have more money saved than Greg?

c)

Greg saves $20 each week to put in his savings account at the bank. His sister, Lauren has saved $50 and will save $25 each week. How many weeks will it take for Greg to have more money than Lauren?

d)

Greg has saved $50 and plans to put $25 each week in his savings account at the bank. His sister, Lauren has also saved $50 but will put $20 in her bank account each week.

134.

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

a)

50

b)

20

c)

15

d)

25

135.

Which situation best represents the following equation?

8.50x > 1000 + 2.50x

a)

Jose owns the local Comic Store. He sells comics for $8.50 each. His cost each month is $1,000 plus $2.50 per comic. How many comics, x, must he sell each month to make a profit?

b)

Jose owns the local Comic Store. He sells comics for $2.50 each. His cost each month is $1,000 plus $8.50 per comic. How many comics, x, must he sell each month to make a profit?

c)

Jose owns the local Comic Store. He sells comics for $2.50 each. His cost each month is $1,000 plus $2.50 per comic. How many comics, x, must he sell each month to make a profit?

d)

Jose owns the local Comic Store. He sells comics for $8.50 each. His cost each month is $1,000. How many comics, x, must he sell each month to make a profit?

136.

Karissa is going water skiing. She can purchase skis for $125 or she can rent skis for $30 an hour. In both cases she must rent a safety flotation device to wear that is $5 per hour. Which inequality shows the number of hours Karissa must ski for the cost of buying skis to be less than renting skis?

a)

125 + 5x > 30x

b)

125 + 5x < 35x

c)

125 + 5x < 30x

d)

125 + 5x > 35x

137.

John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, which equation shows how many cookies, x, they purchased.

a)

3x = x + 10

b)

x = 3x + 10

c)

3x + x = 10

d)

3x + x + 10 = 0

138.

Rhonda bought five shirts from a store and had $10 left. If she had only bought three shirts, she would have had $24 left. If each shirt costs the same, which of the following equations could be used to determine x, the cost of each shirt, in dollars?

a)

10 - 5x = 24 - 3x

b)

5x + 3x = 10 + 24

c)

10 + 5x = 24 +3x

d)

5 + 10x = 3 + 24x

139.

If five times a number is subtracted from 27, the result is nine more than four times the number. Which equation can be used to find the value of the number?

a)

5(27 - x) = 9 + 4x

b)

27 - 5x = 4(9 + x)

c)

27 - 5x = 4x + 9

d)

5x - 27 = 9 + 4x

140.

Jim received notice from his employer that the equation to calculate his salary was changing. Currently he makes $300 per week plus 4% commission on sales. The new equation will be $450 plus 2% commission on sales. Which equation shows the amount in sales he will need for his salary to be the same?

a)

450 + 2s = 300 + 4s

b)

2(450)s = 4(300)s

c)

300 + 0.02s = 450 + 0.04s

d)

450 + 0.02s = 300 + 0.04s

141.

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

a)

120 miles

b)

100 miles

c)

110 miles

d)

150 miles

142.

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. If I were to rent 6 videos which club would be the better deal? How much would I spend?

a)

A; $25

b)

A; $30

c)

B; $25

d)

B; $27

143.

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

a)

2 miles

b)

4 miles

c)

.50 mile

d)

-4 miles

144.

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. In how many years would Mary's salary be the same at both companies. What would that salary be?

a)

8 years; $46500

b)

7 years; $45600

c)

8 years; $45600

d)

7 years; $46500

145.

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class. If Carol were to take 5 classes which studio should Carol join? How much would she save joining the cheaper dance studio?

a)

Studio A; $40.00

b)

Studio A; $50.00

c)

Studio B; $50.00

d)

Studio B; $40.00

146.

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Which company is more expensive if I need 6 additional windows installed? How much more expensive would it be?

a)

Company A; $1.00

b)

Company A; $1.25

c)

Company B; $1.00

d)

Company B; $1.25

147.

At a store a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store eggs cost $2.75 and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same?

a)

2

b)

4

c)

1

d)

6

148.

Which situation best represents the following equation?

25 + .05x = 50 + .01x

a)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $50 plus 5 cents per minute. Cellular Plus charges $25 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

b)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus $5 per minute. Cellular Plus charges $50 plus $1 per minute. How many minutes can be used in one month to make the two companies charge the same amount?

c)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50. How many minutes can be used in one month to make the two companies charge the same amount?

d)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

149.

John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, which equation shows how many cookies, x, they purchased.

a)

3x = x + 10

b)

x = 3x + 10

c)

3x + x = 10

d)

3x + x + 10 = 0

150.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

Unit 2 Extra Practice

Total questions: 150

Worksheet time: 38hrs 30mins

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