Free Printable PreBench

1.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

2.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

3.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

4.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

5.

Solve the proportion.

a)

k=5

b)

k=45

c)

k=60

d)

k=90

6.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

a)

75 Pieces

b)

27-ounces

c)

27 pieces

d)

75-ounces

7.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

a)

$12

b)

$1.50

c)

$3

d)

$1

8.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

1/14

9.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

10.

What is the constant of proportionality for this table?

a)

$1/9 per hour

b)

$9 per hour

c)

$8 per hour

11.

Write an equation for this situation.

a)

y = 9.75x

b)

y = 19x

c)

y = 19.25x

d)

y = 9.5x

12.

Determine the Constant Rate of Change?

a)

-10 ft per second

b)

15 ft per second

c)

10 ft per second

d)

-15 ft per second

13.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

14.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

15.

What is the equation for this line?

a)

y = x - 2

b)

y = x + 2

c)

y = 2x

d)

y = -x + 2

16.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

17.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

18.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

19.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

20.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

21.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

22.

What is the slope?

a)

1/2

b)

2

c)

7

d)

3

23.

The graph represents the linear relationship between the number of books Layla has read and the number of months she has been a member of a book club. (7.4A)

a)

Layla has read 2 books in the first 3 months she was a member of the book club.

b)

Layla has read 3 books in the first 2 months she was a member of the book club.

c)

Layla has read 3 books in the first 4 months she was a member of the book club.

d)

Layla has read 4 books in the first 3 months she was a member of the book club.

24.

A dolphin travels through the water of a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate? (7.4A)

a)

b)

c)

d)

25.

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

a)

x = 4.25 + y

b)

x = 4.25y

c)

y = 4.25 + x

d)

y = 4.25x

26.

Frank and his family drove 6 hours every day during a road trip. Which graph best represents y, the total number of hours driver in x days?

a)

b)

c)

d)

27.

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of this fish, given this equation? (7.7A)

a)

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second

b)

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second

c)

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second

d)

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second

28.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)

b)

c)

d)

29.

Which equation best represents the relationship between x and y in the graph? (7.7A)

a)

y = 2x + 4

b)

y = 2x - 2

c)

y = 1/2x + 4

d)

y = 1/2x - 4

30.

Which table contains only values that satisfy the equation

y = 0.5x + 14?

a)

b)

c)

d)

31.

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars? (7.4A)

a)

y = 12x + 55

b)

y = 12x + 165

c)

y = 55x + 12

d)

y = 165x + 12

32.

Frank and his family drove 6 hours every day during a road trip. Which graph best represents y, the total number of hours driver in x days?

a)

b)

c)

d)

33.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)

b)

c)

d)

34.

Which equation best represents the relationship between x and y in the graph? (7.7A)

a)

y = 2x + 4

b)

y = 2x - 2

c)

y = 1/2x + 4

d)

y = 1/2x - 4

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

F

b)

G

c)

H

d)

J

37.

a)

F

b)

G

c)

H

d)

J

38.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

39.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

40.

How much does it cost to have your lawn mowed for 2 hours?

a)

$16

b)

$17

c)

$18

d)

$19

41.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

42.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

43.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

44.

What is the equation for this graph?

a)

y= 4/5 x + 4

b)

y= 5/4 x + 4

c)

y= 4x -5

d)

y= 5x + 4

45.

What is the equation of this line?

a)

y= -2/3 x -2

b)

y= 2/3 x -2

c)

y= -2/3 x + 2

d)

y= 2

46.

What is the linear equation in slope-intercept form?

a)

y=1/2x+10

b)

y=2/4x+20

c)

y=10/20x+20

d)

y=2x+10

47.

The graph represents the linear relationship between the number of books Layla has read and the number of months she has been a member of a book club. (7.4A)

a)

Layla has read 2 books in the first 3 months she was a member of the book club.

b)

Layla has read 3 books in the first 2 months she was a member of the book club.

c)

Layla has read 3 books in the first 4 months she was a member of the book club.

d)

Layla has read 4 books in the first 3 months she was a member of the book club.

48.

A dolphin travels through the water of a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate? (7.4A)

a)

b)

c)

d)

49.

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

a)

x = 4.25 + y

b)

x = 4.25y

c)

y = 4.25 + x

d)

y = 4.25x

50.

Frank and his family drove 6 hours every day during a road trip. Which graph best represents y, the total number of hours driver in x days?

a)

b)

c)

d)

51.

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of this fish, given this equation? (7.7A)

a)

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second

b)

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second

c)

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second

d)

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second

52.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)

b)

c)

d)

53.

Which equation best represents the relationship between x and y in the graph? (7.7A)

a)

y = 2x + 4

b)

y = 2x - 2

c)

y = 1/2x + 4

d)

y = 1/2x - 4

54.

Which table contains only values that satisfy the equation

y = 0.5x + 14?

a)

b)

c)

d)

55.

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars? (7.4A)

a)

y = 12x + 55

b)

y = 12x + 165

c)

y = 55x + 12

d)

y = 165x + 12

56.

What is the solution to: $5x+3=33$

a)

$x=-6$

b)

$x=\frac{36}{5}$

c)

$x=30$

d)

$x=6$

57.

Solve $3\left(x+3\right)=18$

a)

$x=-3$

b)

$x=3$

c)

$x=5$

d)

$x=9$

58.

Solve $-2x-7=17$

a)

$x=-12$

b)

$x=-5$

c)

$x=5$

d)

$x=12$

59.

–1.3g + 1.9 = –11.1

a)

10

b)

-7.08

c)

-10

d)

7.08

60.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

61.

7p+ 9 = 40.5

a)

7.5

b)

3.5

c)

8.5

d)

4.5

62.

Write the equation for the model.

a)

7=2x-3

b)

7=2x+3

c)

-7=2x-3

d)

7=-2x-3

63.

Write the equation for the model.

a)

3x+6=-9

b)

-3x-6=9

c)

3x+6=9

d)

3x-6=-9

64.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

65.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

66.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

67.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

68.

Which equation matches the tape diagram?

a)

$28-x=16$

b)

$x+16=28$

c)

$3\left(x+16\right)=28$

d)

$3x+16=28$

69.

Which equation represents this tape diagram?

a)

3x + 60 = 24

b)

24 + x = 60

c)

24x + 60 = 24

d)

24 + 4x = 60

70.

Which equation matches the tape diagram?

a)

$6\left(8+x\right)=35$

b)

$8+6x=35$

c)

$35-x=8$

d)

$35=6+8x$

71.

The model represents an equation.

What is the solution for this equation?

a)

x = 2

b)

x = 4

c)

x = 8

d)

x = 12

72.

What is the solution set for 4x + 9 < 17?

a)

x > 2

b)

x < 2

c)

x > 4

d)

x < 4

73.

An equation is modeled.

What value of x makes the equation true?

a)

x = -5

b)

x = 2

c)

x = 4

d)

x = 3

74.

The model represents an inequality.

What is the solution set for the inequality?

a)

x > 13

b)

x < 13

c)

x < 3

d)

x > 3

75.

4x + 6 = 30

What is the solution to the equation?

a)

x = 4

b)

x = 9

c)

x = 6

d)

x = 24

76.

What is the solution set for this inequality?

-3x + 10 > 22

a)

x > -4

b)

x <-4

c)

x > 4

d)

x < 4

77.

5x - 3.3 = 7.2

What is the solution to the equation?

a)

x = 2.1

b)

x = 5

c)

x = 0.65

d)

Not Here

78.

What is the solution set for this inequality?

-2x - 3 > 13

a)

x > 8

b)

x < 8

c)

x > -8

d)

x < -8

79.

What is the solution to the equation?

13x + 5 = 70

a)

x = 10

b)

x = 5

c)

x = -10

d)

x = -5

80.

A bank account has a starting balance of $125.36. Rebekkah withdraws one-fourth of the money to buy a gift for her cousin. She then sends an electronic check in the amount of $26.50 to her uncle. What is the balance in Rebekkah’s bank account after these two transactions?

a)

57.52

b)

67.52

c)

31.34

d)

94.02

81.

On Sunday, Yassif swam 15 2⁄5 miles in 2.1 hours. What was Yassif’s swimming pace in miles per hour?

a)

7 1⁄3 mph

b)

17 1⁄2 mph

c)

13 3⁄10 mph

d)

32 17⁄50 mph

82.

The weight of an object on Venus is about 9⁄10 its weight on Earth and the weight of an object on Mars is about 2⁄5 its weight on Earth. What is the difference in the weight of a 170-pound person on Venus and Mars?

a)

153 pounds

b)

68 pounds

c)

221 pounds

d)

85 pounds

83.

A bulletin board measures 45 feet wide and 18 feet high. Eight posters measuring 2 1⁄2 feet wide and 3 1⁄4 feet high are placed on the bulletin board as well as a border covering a total area of 25 feet squared. What fraction of the bulletin board is still available for other items?

a)

8∕9

b)

0

c)

2⁄3

d)

1 1⁄9

84.

A larger number is 30 more than a smaller number x. The larger number is 50. What is the smaller number?

a)

20

b)

30

c)

10

d)

15

85.

What value of x makes 2x - 1 = -7 true?

a)

x = -3

b)

x = -2

c)

x = -4

d)

x = 3

86.

What value of x makes 4x + 4 = 12 true?

a)

1

b)

2

c)

3

d)

4

87.

In a coin collection, the number of nickels is 8 more than twice the number of quarters. If the collection has 42 nickels, how many quarters are in the collection?

a)

15

b)

14

c)

17

d)

25

88.

Kaitlin traveled 47.4 miles each day for the past 8 days. How many miles did she travel in all?

a)

37.92 miles

b)

3.792 miles

c)

3,792 miles

d)

379.2 miles

89.

Suppose a pack of candy bars has 4 bars. Each bar weighs 3.88 ounces. How much does the pack weigh?

a)

1.552 ounces

b)

155.2 ounces

c)

15.52 ounces

d)

1,552 ounces

90.

Which answer choice is the best first step to solve?

a)

Add 2 to both sides.

b)

Subtract 6 from both sides.

c)

Add 6 to both sides.

d)

Multiply by 2 on both sides.

91.

What is the solution to
-3x+2< 8

a)

x > -3

b)

x > -2

c)

x < -2

d)

x < -3

92.

Which is the solutions to the inequality below
-4x-4>36

a)

x> -10

b)

4x< 10

c)

x > 10

d)

x < -10

93.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

94.

What is the solution to the equation?

2x+10=38

a)

x = 14

b)

x = 28

c)

x = 19

d)

x = 7

95.

What would be the first step to solving the equation 12 = -2x + 8?

a)

Subtract 8 from both sides of the equation

b)

Add 8 to both sides of the equation

c)

Subtract 12 from both sides of the equation

d)

Add 12 to both sides of the equation

96.

Solve the equation.

a)

2

b)

4

c)

6

d)

8

97.

3x - 5 > -26

a)

x < -8

b)

x > -7

c)

x > -8

d)

x < -7

98.

Which of the following is the solution to the inequality below
-5x -10 < 20

a)

x > -6

b)

x < -6

c)

x > -2

d)

x < -2

99.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

100.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

101.

Solve the equation:

a)

k = 4

b)

k = 10.6

c)

k = - 4

d)

k = -10.6

102.

Solve the equation:

a)

r = 4

b)

r = 48

c)

r = 16

d)

r = 12

103.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

104.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

105.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

106.

4 + b = 30

a)

-34

b)

34

c)

-26

d)

26

107.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

108.

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.

109.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

110.

10x = 90

a)

x = 80

b)

x = 100

c)

x = 10

d)

x = 9

111.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

112.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

113.

y/-5 = 20

a)

y = 100

b)

y = -4

c)

y = -100

d)

y = -15

114.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

115.

x ÷ 2 = 12

a)

x = 24

b)

x = 6

c)

x = 20

d)

x = 10

116.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

117.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

118.

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

119.

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

120.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

121.

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

122.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

123.

y - 14 = 66

a)

80

b)

52

c)

79

d)

Answer Not Given

124.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

125.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

126.

x + 40 = 56

a)

x = 16

b)

x = 96

c)

x = 15

d)

x = 10

127.

8 = x - 1

a)

x = 8

b)

x = 1

c)

x = 7

d)

x = 9

128.

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

129.

y + 51 = 99

a)

140

b)

150

c)

48

d)

Answer not Given

130.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

131.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

132.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

133.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

134.

26 = 5a + 1

a)

a= 5 ⁴∕₅

b)

a= no solution

c)

a= 0

d)

a= 5

135.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

136.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

137.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

138.

^{(a + 3)}⁄₇= 3

a)

a= 18

b)

a= 21

c)

a= 4

d)

a= 11

139.

50 = 28.1 + 0.15a

a)

a= 150

b)

a= 146

c)

a= 6

d)

a= 155

140.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

141.

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.

142.

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

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

143.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

144.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

145.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

146.

5x+4=^-6

a)

2

b)

-2

c)

10

d)

15

147.

m / 2 = 10

a)

m = 5

b)

m = -20

c)

m = 20

d)

m = -5

148.

-4y = 48

a)

y = -52

b)

y = -44

c)

y = 12

d)

y = -12

149.

6b = 30

a)

b = 36

b)

b = 5

c)

b = 24

d)

b = 180

150.

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

a)

x = 30

b)

x = 5

c)

x = 20

d)

x = -20

151.

3 = 5x - 12

a)

2 = x

b)

4 = x

c)

3 = x

d)

-1 = x

152.

y/3 + 6 = 9

a)

15

b)

9

c)

3

d)

12

153.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

154.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

155.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

156.

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

a)

4

b)

3

c)

2

d)

1

157.

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

a)

1

b)

2

c)

3

d)

4

158.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

159.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

160.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

161.

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

a)

4

b)

3

c)

2

d)

1

162.

a)

A

b)

B

c)

C

d)

D

163.

Solve.
(x/4) + 10 = 34

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

164.

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

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

165.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

166.

Solve:
4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

167.

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

a)

3

b)

4

c)

5

d)

6

168.

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

a)

129

b)

71

c)

61

d)

2900

169.

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

a)

45

b)

35

c)

8

d)

5

170.

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

a)

12

b)

50

c)

2614

d)

40

171.

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

a)

5.50

b)

7.50

c)

2.53

d)

2.80

172.

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

a)

8

b)

16

c)

32

d)

35

173.

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

a)

18

b)

24

c)

7

d)

6

174.

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

a)

48

b)

7

c)

9

d)

6

175.

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

a)

24

b)

9

c)

15

d)

36

176.

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

a)

32

b)

8

c)

16

d)

11

177.

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

a)

3

b)

4

c)

5

d)

6

178.

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

a)

5

b)

6

c)

7

d)

8

179.

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

a)

40

b)

42

c)

44

d)

46

180.

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

a)

34

b)

36

c)

35

181.

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

a)

11

b)

22

c)

20

182.

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

a)

4

b)

3

c)

6

183.

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

a)

-1

b)

-2

c)

-3

d)

-4

184.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

185.

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

a)

11

b)

22

c)

20

186.

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

a)

8

b)

9

c)

10

d)

11

187.

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

a)

2

b)

3

c)

4

188.

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

a)

27

b)

12

c)

17

189.

4x + 10 =

Substitute a 3 in for x and solve.

a)

17

b)

22

c)

2

d)

17x

190.

2f + f

a)

3f

b)

2f

c)

f

191.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

192.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

193.

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

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

194.

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

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

195.

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

a)

11d + 6y

b)

11d + 2y

c)

6y + 5d

196.

5a + 2a + 2a

a)

9a

b)

8a

c)

7a

197.

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

a)

3t + 10y

b)

4t + 10y

c)

4t + 4y

198.

3b + b - 2b

a)

3b

b)

b

c)

2b

199.

6x + 2x + 1 + 4

a)

8x + 5

b)

2x - 3

c)

4x - 2

d)

8x + 12

200.

Simplify: 4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

201.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

202.

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

203.

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

204.

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

a)

commutative property of addition

b)

associative property of addition

c)

additive identity

205.

a)

Yes

b)

No

206.

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

207.

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

a)

1

b)

2

c)

3

d)

4

208.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

209.

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

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

210.

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

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

211.

3b + b - 2b

a)

3b

b)

b

c)

2b

212.

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

a)

11d + 6y

b)

11d + 2y

c)

6y + 5d

213.

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

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

214.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

215.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

216.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

217.

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

218.

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

219.

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

220.

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

221.

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

222.

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

223.

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

224.

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

225.

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

226.

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

227.

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

228.

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

a)

Graphical

b)

Substitution

c)

Unitary

d)

Elimination

229.

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

230.

What is the gradient of the blue line?

a)

2

b)

-2

c)

(-1, 2)

d)

x = -1

231.

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

a)

Graphical

b)

Substiution

c)

Elimination

d)

cannot solve these equations

232.

Which method should be used to solve this?

a)

Elimination

b)

Substitution

c)

Graphical

d)

Unitary

233.

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

234.

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

235.

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

236.

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

237.

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

238.

Solve
y - 4 > 12

a)

y > 16

b)

y < 16

c)

y > 8

d)

y < 8

239.

Solve
-19 ≤ 8 + k

a)

-27 ≤ k

b)

-11 ≤ k

c)

-27 ≥ k

d)

-11 ≥ k

240.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

241.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

242.

What inequality does the number line graph represent?

a)

-x + 4 ≥ -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 ≥ 13

243.

-3x ≥ 9

a)

x ≥ 12

b)

x ≥ -3

c)

x ≤ -3

d)

x ≤ -12

244.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

245.

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

a)

-2

b)

0

c)

1

d)

2

246.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

247.

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)

248.

The symbol ≤ means:

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

e)

equal to

249.

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

a)

Open

b)

closed

250.

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

a)

≤, ≥

b)

<, >

PreBench

Total questions: 250

Worksheet time: 18hrs 20mins

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