Free Printable Expressions, Equations, Inequalities Milestone REview

1.

$r\ +\ 11\ +\ 8r\ =\ 29$

a)

$r\ =0$

b)

$r\ =\ 1$

c)

$r\ =\ 2$

d)

$r\ =\ 3$

2.

$50\ =-5\left(6n\ +\ 8\right)$

a)

$n\ =9$

b)

$n\ =\ -3$

c)

$n\ =-10$

d)

$n\ =\ -20$

3.

Solve.
$a\ -2\ +\ 3\ =\ -2$

a)

$a\ =\ -7$

b)

$a\ =\ -3$

c)

$a\ =1$

d)

$a\ =0$

4.

Solve.

$6a\ +\ 5a\ =\ -11$

a)

$a\ =\ 0$

b)

$a\ =\ 1$

c)

$a\ =\ -1$

d)

None of these

5.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

6.

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

a)

4

b)

3

c)

2

d)

1

7.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

8.

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

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

9.

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

10.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b -19

11.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

12.

(6x + 9) - (4x + 6)

a)

10x + 15

b)

2x + 15

c)

10x + 3

d)

2x + 3

13.

(10x + 2) - (8x - 4)

a)

2x - 2

b)

2x + 6

c)

18x + 6

d)

18x - 2

14.

(x-1) + (2x+ 3)

a)

3x + 2

b)

2x² + 4

c)

3x + (-2)

d)

2x + 2

15.

5(x-4) + (2x-7)

a)

3x - 28

b)

5x + 2x -27

c)

7x² + 11

d)

7x -27

16.

You bought a magazine for $8 and 6 erasers. If you spent a total of $11, then how much did each eraser cost?

a)

$3.00

b)

$2.00

c)

$.50

d)

$.625

17.

You decide to rent a bike for $25 plus $3.00 per hour. If you spent a total of $40.00, how many hours did you rent the bike?

a)

1 hour

b)

4 hours

c)

2 hours

d)

5 hours

18.

You want to buy a new pair of shoes that costs $95.00. You have already saved up $27.00 and you plan to save $4 per week. How many weeks until you have enough money to buy the shoes?

a)

68 weeks

b)

17 weeks

c)

91 weeks

d)

64 weeks

19.

Nicole and her best friend split the amount of money they earned over the weekend mowing lawns. If each person got $10.93, what is the total amount of money they earned? Which equation could you use to solve this problem?

a)

2d=10.93

b)

d/2=10.93

c)

d-2=10.93

d)

d+2=10.93

20.

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

a)

c/7 - 4 = 8

b)

c/4 + 7 = 8

c)

4/c - 7 = 8

d)

c/4 - 7 = 8

21.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

22.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

a)

2.5 hours

b)

4.5 hours

c)

7.5 hours

d)

10.5 hours

23.

The width of a rectangle is (x + 2) and the length of a rectangle is (2x - 3). The perimeter of the rectangle is 22 inches. What is the length of the rectangle?

a)

5 inches

b)

4 inches

c)

10 inches

d)

6 inches

24.

The perimeter of a rectangle is 1,409 feet. The height is 214 feet. Which equation could be used to find the width?

a)

w + 214 + 214 = 1,409

b)

2w + 214 = 1,409

c)

w + w + 214 + 214 = 1,409

d)

w + 214 = 1,409

25.

The perimeter of a rectangle is 610 yards. The width is five yards more than twice the height. Which equation in simplest form could be used to find the height?

a)

h + w = 610

b)

h + 300 = 610

c)

2(h + 300) = 610

d)

6h + 10 = 610

26.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

27.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

28.

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

a)

c = 3.00 - 0.15m

b)

c = 0.15 + 3.00m

c)

3.00 = c + 0.15

d)

c = 3.00 + 0.15m

29.

Which is not a solution for the inequality below?
$w\ge-2.5$

a)

$-\frac{1}{2}$

b)

$-3\ \frac{1}{2}$

c)

$2\ \frac{1}{2}$

d)

$-1$

30.

The table above reflects the prices to enter the Georgia State Fair and ride the rides.

Cynthia’s mom gave her $40.00 to spend at her friend’s birthday party on Friday night at the fair. Which inequality represents the admission fee and the number of rides, r, Cynthia can ride to remain within her budget?

a)

$1.25x\ +\ 15\le\ 40$

b)

$1.50x\ +\ 15<\ 40$

c)

$1.25x\ +\ 15\ <\ 40$

d)

$1.50x\ +\ 15\ \le\ 40$

31.

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

a)

X ≤ 169

b)

X < 169

c)

X < 156

d)

X > 156

32.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

33.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

34.

Gary is training to swim in a triathlon. His goal for this week is to swim a minimum of 42 miles. So far this week, he has already swam 12 miles. Jason has 5 more days to achieve his goal. Which inequality could be used to determine how many miles, m, will he need to run each day to achieve his goal?

a)

5m + 12 ≥ 42

b)

5m + 12 > 42

c)

5m - 12 ≥ 42

d)

5m - 12 ≤ 42

35.

Which is not a solution for the inequality below?

r ≥ - 4.75

a)

$-5$

b)

$-2.8$

c)

$-3$

d)

$-2\ \frac{3}{4}$

36.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

37.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

38.

What is the value of x?

a)

60

b)

26

c)

14

d)

10

39.

The angles are adjacent supplementary angles. Find the value of x.

a)

42

b)

180

c)

126

d)

60

40.

Solve for x

a)

20

b)

25

c)

120

d)

180

41.

Solve for x

a)

5

b)

90

c)

25

d)

10

42.

Solve for x

a)

6

b)

140

c)

20

d)

90

43.

Solve for x

a)

5

b)

10

c)

25

d)

85

44.

Two angles with a sum of 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

45.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

46.

What are vertical angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that add up to 360°

d)

Angles that are opposite of each other when lines intersect and are equal

Expressions, Equations, Inequalities Milestone REview

Total questions: 46

Worksheet time: 2hrs 9mins

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