Free Printable Spring Break Review Pre-Algebra

1.

Simplify the expression:

a)

8√6

b)

6√6

c)

8√5

d)

64√6

2.

Simplify the radical:
$\sqrt{98}$

a)

$2\sqrt{7}$

b)

$7\sqrt{2}$

c)

$14\sqrt{2}$

d)

$49\sqrt{2}$

3.

Simplify the radical:
$\sqrt{180}$

a)

$5\sqrt{6}$

b)

$5\sqrt{5}$

c)

$13\sqrt{5}$

d)

$6\sqrt{5}$

4.

Simplify the radical:
$\sqrt{169}$

a)

$2\sqrt{13}$

b)

$13\sqrt{2}$

c)

$13\sqrt{13}$

d)

$13$

5.

Simplify the radical expression:
$2\sqrt{48}$

a)

$4\sqrt{3}$

b)

$8\sqrt{3}$

c)

$2\sqrt{3}$

d)

$3\sqrt{8}$

6.

Simplify the radical:
$7\sqrt{124}$

a)

$2\sqrt{31}$

b)

$7\sqrt{31}$

c)

$14\sqrt{31}$

d)

$28\sqrt{31}$

7.

Simplify the radical:
$\sqrt{190}$

a)

$10\sqrt{19}$

b)

$19\sqrt{10}$

c)

$2\sqrt{95}$

d)

$\sqrt{190}$

8.

Simplify:

a)

2√12

b)

4√12

c)

4√3

d)

16√3

9.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

10.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

11.

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

a)

4

b)

3

c)

2

d)

1

12.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

13.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

14.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

15.

Describe the solution set:
2(x + 5) = 2x + 5

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

16.

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

a)

Distributing -2 to (x - 7)

b)

Combining x and 3x

c)

Subtracting 1 from both sides

d)

5 - 2

17.

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

18.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

19.

What is the first step in solving this equation?
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

20.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

21.

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

22.

Like terms have the same _____ and the same _____.

a)

variables and numbers

b)

signs and numbers

c)

variables and exponents

d)

variables and signs

23.

A constant term has ______.

a)

no exponents

b)

no variables

c)

no numbers

d)

no letters

24.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

25.

How many terms does this expression have?
3x + 5y - 17 - 2y + x

a)

3

b)

-17

c)

5

d)

1

26.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

27.

What is the coefficient here?
-27m + 5

a)

27

b)

-27

c)

5

d)

m

28.

What is the coefficient here?
17u + 8

a)

17

b)

8

c)

17u

d)

-8

29.

Rewrite the expression by combining like terms.
3xy + 8x² + 4y + 2y – 5x²

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x²+ 6y + y

30.

Rewrite the expression by combining like terms.
5x² + 5y + 2x² + 4y² – 4x² + 2y² - 4y

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

31.

Rewrite the expression by combining like terms.
3y + 5x² + 10x + 2x² + 15x – 3y

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 25x

d)

3x² + 6y² + y

32.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

33.

The distance halfway across the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

34.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

35.

What is the radius of this circle?

a)

18

b)

36

c)

9

d)

6

36.

What is the diameter of this circle?

a)

3.5

b)

6.5

c)

6

d)

7

37.

A Circle has a diameter of 18 meters. What is the circumference of the circle? (Best Choice)

a)

9π or about 28.26 m

b)

18π or about 56.52 m

c)

81π or about 254.34m

d)

324π or about 1017.36 m

38.

Find the circumference of the circle

a)

21.98

b)

153.86

c)

43.96

d)

615.44

39.

The radius is 8 inches. What is the circumference?

a)

50.24 inches

b)

25.12 inches

c)

12.56 inches

d)

200.96 inches

40.

A Circle has a radius of 4. What is the area of the circle? (Best Choice) (note: units are squared)

a)

4π or about 12.56

b)

16π or about 50.24

c)

2π or about 6.28

d)

8π or about 25.12

41.

Area?

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

42.

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

43.

What is the Area of this shape?

a)

56 cm²

b)

50 cm²

c)

78 cm²

d)

I have no idea how to do this.

44.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

45.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

46.

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

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

47.

What is the simplified version of this expression? $9\left(-5x+8\right)$

a)

$45x-72$

b)

$45x+72$

c)

$-45x-72$

d)

$-45x+72$

48.

a)

-24x+36

b)

24x+36

c)

-24x+32

d)

24x-32

49.

A cheetah can run 100 miles per hour. How far can the cheetah travel in 5 hours?

a)

20 miles

b)

500 miles per hour

c)

500 miles

d)

20 miles per hour

50.

Sarah drives her car at a constant speed of 70 miles per hour. If she drives for 2.5 hours, what will her total distance be?

a)

140 miles

b)

175 miles per hour

c)

28 miles per hour

d)

175 miles

51.

Luigi was helping clean up after a pizza party. There were 3 boxes of pizza left and each box had ⅜ of a pizza in it. How much pizza was left in all?

a)

1⅛ boxes

b)

⅞ box

c)

1 box

d)

1¼ boxes

52.

Stuart lives ¾ mile from school. Albert lives 4 times as far as Stuart from school. How many miles does Albert live from school?

a)

3 miles

b)

3¼ miles

c)

2¾ miles

d)

3½ miles

53.

LeBron James is 6 feet, 8 inches tall. What is his height in inches?

a)

80 inches

b)

68 inches

c)

92 inches

d)

72 inches

54.

What is 20% of 90?

a)

72

b)

450

c)

22.2

d)

18

55.

26 is 5% of what number?

a)

1.3

b)

2.5

c)

25.95

d)

520

56.

75% of what number is 48?

a)

48

b)

100

c)

64

d)

75

57.

Kaydence is out shopping and finds a $105 basketball that was marked down 25%. How much did the basketball cost originally?

a)

$125

b)

$26.25

c)

78.75

d)

$140

58.

Ellianna is out shopping and finds a $720 cellphone that was marked down by 10%. How much did the cell phone originally cost?

a)

$800

b)

$792

c)

$72

d)

$648

59.

Hayden is out shopping and finds a $49.22 bike that was marked down by 92%. How much did the bike originally cost?

a)

$3.94

b)

$45.28

c)

$615.25

d)

$500

60.

Olivia is out shopping and finds a $40 shirt that is marked down by 25%. How much is the sale price for the shirt?

a)

$10

b)

$50

c)

$30

d)

$20

Spring Break Review Pre-Algebra

Total questions: 60

Worksheet time: 5hrs 0mins

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