Free Printable ALGEBRA UNIT 3 - LINEAR EQUATIONS AND INEQUALITIES

1.

4x = 44

a)

x = 40

b)

x = 11

c)

x = 48

d)

x = 176

2.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

3.

y + 51 = 99

a)

140

b)

150

c)

48

d)

Answer not Given

4.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

5.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

6.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

7.

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

8.

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.

9.

144=12z

a)

z=20

b)

z=11

c)

z=12

10.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

11.

What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.

a)

40 + c = 39.98

b)

30.98 + c = 40

c)

c - 40 = 39.98

d)

c - 39.98 = 40

12.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

13.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

14.

What is the inverse operation of multiplication?

a)

Addition

b)

Subtraction

c)

Division

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.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

17.

Solve for x
17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

18.

x - 4 = 17

a)

x = 21

b)

x = 13

c)

x = 19

d)

x = 24

19.

x - 18 = 3

a)

x = 37

b)

x = 15

c)

x = -21

d)

x = 21

20.

x + 24 = 44

a)

x = -20

b)

x = 68

c)

x = 20

d)

x = -68

21.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

22.

c - 11 = 9

a)

c = -2

b)

c = -20

c)

c= 2

d)

c = 20

23.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

24.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

25.

r/4 = 13

a)

r = 17

b)

r = 52

c)

r = 27

d)

r = 9

26.

c/16 = 2

a)

c = 1

b)

c = 2

c)

c = 32

d)

c = 18

27.

To solve the equation
x + 5 = 8
I would ....

a)

subtract 5 from x

b)

subtract 5 from both sides

c)

subtract 5 from one side and add 5 to the other

d)

add 5 to both sides

28.

in 3a =12,
I would....

a)

add 3 to both sides

b)

subtract 3 from both sides

c)

divide both sides by 3

d)

divide just the right by 3

29.

a ÷ 5 = 30

a)

a = 6

b)

a = 30

c)

can't be solved

d)

a = 150

30.

What is the inverse operation that must be done to both sides of the equation?
x - 17 = 17

a)

subtract 17 from both sides

b)

multiply both sides by 17

c)

add 17 to both sides

d)

divide both sides by 17

31.

To solve
2 + w = 20

a)

Add 2 and w = 22

b)

Multiply by 2 and w = 40

c)

Subtract 2 and w = 18

d)

Divide by 2 and w = 10

32.

9z = 81 can be solved be doing the

a)

inverse operation, which is divide both sides by 9

b)

inverse operation which is multiply both sides by 9

c)

duplicate operation which is divide both sides by 9

d)

fractal operation which is divide both sides by 9

33.

to solve 6m = 12

a)

Multiply both sides by 6

b)

Divide both sides by 6

c)

Add 6 to both sides

d)

Subtract 6 from both sides

34.

What is the inverse operation of addition?

a)

subtraction

b)

multiplication

c)

division

d)

none of the above

35.

What is the inverse operation of multiplication?

a)

addition

b)

subtraction

c)

division

d)

none of the above

36.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

37.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

38.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

39.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

40.

Solve 2x -7 = -23

a)

-8

b)

8

c)

-7

41.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

42.

Solve if 3x + 5 = 4

a)

1/3

b)

2/3

c)

-1/3

d)

-2/3

43.

Solve 7y - 4 = -11

a)

1

b)

2

c)

-1

d)

-2

44.

Solve 8 -3x = -13

a)

7

b)

8

c)

9

d)

10

45.

Solve 7 - 3y = 22

a)

-5

b)

5

c)

15

d)

-15

46.

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

47.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

48.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

49.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

50.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

51.

Joe earns $25 per yard he mows in the summer. If he also makes a one time amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.

a)

25y - 100 = 3,100

b)

3,100 - 100 = 25y

c)

25y + 100 = 3,100

d)

100y + 25 = 3,100

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

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 the number of tickets (t) that can be purchased if Penelope plans to spend $35.

a)

.50t + 20 = 35

b)

.50t = 35

c)

.50 + 20t = 35

d)

.50t +35 = 20

55.

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 the number of hours (h) of lessons Kasey took if the total cost was $39.

a)

11 + 6h = 39

b)

11h - 6 = 39

c)

11h + 6 = 39

d)

66h = 39

56.

Ms. Jacobs is a photographer . For each job she charges $135 for the first hour she works and $100 for each additional hour. Ms. Jacobs charged $535 for a job she completed. Write an equation that can be used to determine the number of hours (h) she spent on the job.

a)

135x + 100 = 535

b)

100x - 135 = 535

c)

100x + 135 = 535

d)

135x - 100 = 535

57.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. Write an equation to represent the number of pages the printer can print in m minutes.

a)

10m + 35 = 115

b)

10m - 35 = 115

c)

115m + 35 = 10

d)

35m + 10 = 115

58.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

59.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

60.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

61.

8 = (³⁄₄)a +12 - a + 4

a)

32

b)

-6

c)

-4

d)

4

62.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

63.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

64.

-a = 9(a - 10)

a)

9

b)

1

c)

90

d)

10

65.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

66.

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

a)

one solution

b)

infinitely many

c)

no solution

67.

0.75 + 2(a - 0.5) = 3a - 0.4

a)

0.15

b)

5

c)

1.5

d)

3.75

68.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

69.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

70.

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

a)

4

b)

3

c)

2

d)

1

71.

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

a)

1

b)

2

c)

3

d)

4

72.

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

a)

1

b)

2

c)

3

d)

4

73.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

74.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

75.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

76.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

77.

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

a)

4

b)

3

c)

2

d)

1

78.

a)

A

b)

B

c)

C

d)

D

79.

Solve.
(x/4) + 10 = 34

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

80.

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

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

81.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

82.

Solve:
4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

83.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

84.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

85.

Solve for r.

a)

A

b)

B

c)

C

d)

D

86.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

87.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

88.

5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

89.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

90.

Solving the formula P = 2L + 2W for W is not equivalent to which equation?

a)

(P-2L)/2 = W

b)

(P/2) - (2L/2) = W

c)

(1/2)P - L = W

d)

P - (1/2)L = W

91.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

92.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

93.

a)

s = -Dn + C

b)

s = Dn - C

c)

s = Dn/C

94.

a)

(2.5+h)f

b)

g=1

c)

f(5+h)/2

d)

(5f+h) / 2

95.

a)

17m

b)

13m

c)

-13m

d)

-17m

96.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

97.

a)

A

b)

B

c)

C

d)

D

98.

Solve for h
V = 1/3Bh

a)

93B)/V = h

b)

1/3BV = h

c)

(3V)/B = h

d)

1/3 + BV = h

99.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

100.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

101.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

102.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

103.

Solve:
y = mx + b , for b

a)

y - mx = b

b)

y + mx = b

c)

y/mx = b

d)

y + mx = -b

104.

Solve:
8x + 4y = 16 , for y

a)

y = -2x + 4

b)

y = 2x - 4

c)

y = 2x + 4

d)

y = -2x - 4

105.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

106.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

107.

5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

108.

How many ounces of 30% acid solution should be mixed with 40 ounces of 2% acid solution to make 5% acid solution?

a)

1.2 ounces

b)

12 ounces

c)

2 ounces

d)

4.8 ounces

109.

Find the amounts of 20% salt solution and 8% salt solution that should be mixed together to make 500 ml of 15% salt solution.

a)

291.67 ml of 20% salt solution,
208.33 ml of 8% salt solution

b)

280 ml of 20% salt solution,
220 ml of 8% salt solution

c)

208.33 ml of 20% salt solution,
291.67 ml of 8% salt solution

d)

220 ml of 20% salt solution,
280 ml of 8% salt solution

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

A

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

A recipe requires 2 cups of milk for every 3 cups of flour. If you use 8 cups of milk, how many cups of flour do you need?

a)

9

b)

12

c)

16

d)

6

115.

You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?

a)

$5

b)

$20

c)

$25

d)

$8.75

e)

$61.25

116.

You jog 2 kilometers in 12 minutes. At this rate, how long will it take you to complete a 5-kilometer race?

a)

24 minutes

b)

6 minutes

c)

30 minutes

d)

4.8 minutes

117.

A printer prints 28 photos in 8 minutes. How many minutes does it take to print 21 photos?

a)

4 minutes

b)

5 minutes

c)

6 minutes

d)

7 minutes

118.

Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils can he sharpen in 15 minutes?

a)

390 pencils

b)

65 pencils

c)

20 pencils

d)

11 pencils

119.

Jen is arranging flowers in vases. For every 1 rose she uses, she uses 6 tulips. How many tulips would she use for 5 roses?

a)

25

b)

30

c)

1

d)

11

120.

A local bakery called "Becky's Bakery" makes 100 batches of cookies in 8 hours. If they keep up this pace, how many batches of cookies would they make in 12 hours?

a)

120 batches of cookies

b)

200 batches of cookies

c)

400 batches of cookies

d)

150 batches of cookies

121.

Alcia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

a)

$7 per hour

b)

$6 per hour

c)

$6.80 per hour

d)

$17.40 per hour

122.

At the market, 7 apples cost $4.55. What is the cost per apple?

a)

1.54 apples per dollar

b)

1.54 dollars per apple

c)

$0.65 per apple

d)

not here

123.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

124.

You spend $40 on 5 pounds of concrete. What is the cost per pound?

a)

Only find unit rate

b)

Finding AND use the unit rate

125.

John spent $36 to buy 4 basketballs. What was the price per basketball?

a)

$9 per basketball

b)

$144 per basketball

c)

$8 per basketball

d)

$12 per basketball

126.

Tracey ran 1,000 meters in 5 minutes. How many meters did she run in a minute?

a)

0.005 meters in a minute

b)

5,000 meters in a minute

c)

200 meters in a minute

127.

Issa flew 600 miles in 120 minutes. How many miles per minute did she fly?

a)

5 miles per minute

b)

0.2 miles per minute

c)

3 miles per minute

d)

6 miles per minute

128.

In 3 days the temperature dropped 27 degrees. How many degrees did the temperature drop each day?

a)

3 degrees each day

b)

9 degrees each day

c)

0.11 degrees each day

d)

24 degree each day

129.

Jayden filled his 290 gallon pool with water in 10 hours. How many gallons did he use in an hour?

a)

290 gallons in an hour

b)

29 gallons in an hour

c)

2,900 gallons in an hour

d)

280 gallons in an hour

130.

You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?

a)

$5

b)

$20

c)

$25

d)

$8.75

e)

$61.25

131.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

132.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

133.

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

a)

$.50 per pound

b)

$1.25 per pound

c)

$3 per pound

d)

$2.50 per pound

134.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

135.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

136.

Write the inequality:
The Chicago Cubs have won more than 100 games.

a)

x > 100

b)

x < 100

c)

x ≥ 100

d)

x ≤ 100

137.

Write the inequality:
You have to be 54 inches or taller to ride the American Eagle

a)

x > 54

b)

x < 54

c)

x ≥ 54

d)

x ≤ 54

138.

Write the inequality:
The speed limit on Rollins Road is 35 miles per hour.

a)

x > 35

b)

x < 35

c)

x ≥ 35

d)

x ≤ 35

139.

Write the inequality:
There are fewer than 20 days left in October.

a)

x > 20

b)

x < 20

c)

x ≥ 20

d)

x ≤ 20

140.

If you were to graph the inequality would the circle be open or closed?
x ≥ 15

a)

open

b)

closed

141.

If you were to graph the inequality would the circle be open or closed?
x > 45

a)

open

b)

closed

142.

If you were to graph the inequality would the arrow point to the left or right?
x < 17

a)

left

b)

right

143.

If you were to graph the inequality would the arrow point to the left or right?
x ≤ 9

a)

left

b)

right

144.

Solve the inequality:
x + 7 < 9

a)

x < 2

b)

x < 16

c)

x < 63

145.

Solve the inequality:
x ÷ 7 > 5

a)

x > 12

b)

x > 2

c)

x > 35

146.

Solve the inequality:
8x ≤ 32

a)

x ≤ 4

b)

x ≤ 40

c)

x ≤ 5

147.

Solve the inequality:
x - 10 ≥ 5

a)

x ≥ 2

b)

x ≥ 15

c)

x ≥ 5

148.

Mike is 6 years younger than twice Iris's age. What expression can be used to find Mike’s age?

a)

6 + 2a

b)

6 - 2a

c)

2a - 6

d)

12 - a

149.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

a)

75x-10 ≥ 300

b)

75+10 ≤ 300x

c)

10x ≥ 300

d)

75+10x ≤ 300

150.

Match the graph with the given solution.

a)

A

b)

B

c)

C

d)

D

151.

Solve and then match the correct solution & graph.

a)

A

b)

B

c)

C

d)

D

152.

Lisa wants to change her cell phone service provider. She can spend no more than $80 each month. If the plan she is considering charges a flat fee of $57 and charges $10 per gigabyte of data, how many gigs of data could she include in her plan?

a)

$2.30

b)

2.3 gigs

c)

1.2 gigs

d)

$1.22

153.

A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?

a)

$3.40

b)

$2.50

c)

2.5 hours

d)

3.4 hours

154.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

155.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

156.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

157.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

158.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

159.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

160.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

161.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

162.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

163.

4h<8

a)

h<32

b)

h<2

c)

h<4

d)

h>2

164.

Which is the solution of
-4 - 6m > -9m + 8?

a)

m < -4

b)

m > 4

c)

m < 15

d)

m > 36

165.

Solve the inequality for w:
-5(w - 4) < -5w - 15

a)

w > 15

b)

All real numbers are solutions

c)

w < 5

d)

No solutions to this inequality

166.

Four times a number, increased by 6 is greater than 22. Which inequality models this scenario?

a)

4x - 6 > 22

b)

4x + 6 < 22

c)

4x + 6 ≥ 22

d)

4x + 6 > 22

167.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

168.

When graphing an inequality, what does a closed circle mean?

a)

The number is not included in the list of answers.

b)

The number is included in the list of answers.

169.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 < 30

a)

0

b)

100

c)

-100

d)

-3

e)

-4

170.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 ≥ 30

a)

0

b)

100

c)

-100

d)

-4

e)

-5

171.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

x+6x≤2(2+3x)

a)

4

b)

100

c)

5

d)

0

e)

-100

172.

Which graph represents the inequality 2x + 3 < 7

a)

b)

c)

d)

173.

You spend at least 50 minutes practicing football each day. You spent 28 minutes practicing this morning. You want to practice twice as long in the afternoon. How long will you need to practice for?

a)

28 + 2x < 50

b)

28 + 2x < 50

c)

28 + 2x > 50

d)

28 + 2x > 50

174.

10 - 3x < 16

a)

x < -2

b)

x > -2

c)

x < 2

d)

x > 2

175.

84 - 4x ≤ 52

a)

x > 8

b)

x < 8

c)

x > 8

d)

x < 8

176.

Which graph represents x > 2

a)

b)

c)

d)

177.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

178.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

179.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

180.

Does the sign need to flip when solving?
8y < (-40)

a)

YES

b)

NO

181.

Do you flip the sign?
-3x + 2 ≤ 22

a)

YES

b)

NO

182.

If 15 > x - 1 then a possible set of solutions for x is...

a)

1, 7, 15

b)

19, 22, 30

c)

80, 100

183.

Solve:
3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

184.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

185.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiply by a negative number

d)

multiply or divide by a negative number

186.

Translate:

Twice a number is smaller than 42.

a)

2x < 42

b)

2x > 42

c)

2x ≤ 42

d)

2x ≥ 42

187.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

188.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

189.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

190.

What inequality is graphed here?

a)

x ≤ -2

b)

x < -2

c)

x > -2

d)

x ≥ -2

191.

-2x + 2 > 3x - 8

a)

x > -9

b)

x > 2

c)

x < -9

d)

x < 2

192.

-1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

193.

.5(x - 8) < 2

a)

x > 20

b)

x < 20

c)

x > 12

d)

x < 12

194.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

195.

2x - 3 ≥ 4x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

196.

3x - 2 < 13

a)

x > 3.67

b)

x > 5

c)

x < 5

d)

x < 3.67

197.

6x - 4 ≥ 26

a)

x ≥ 3.67

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

198.

2x < -3x + 15

a)

x > 3

b)

x > 15

c)

x < 3

d)

x < 15

199.

-3 + x ≤ -11

a)

x ≤ -8

b)

x ≤ 8

c)

x ≥ -8

d)

x ≥ 8

200.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

ALGEBRA UNIT 3 - LINEAR EQUATIONS AND INEQUALITIES

Total questions: 200

Worksheet time: 14hrs 5mins

Similar Resources on Wayground