Free Printable Algebra Review

1.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

2.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

3.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

4.

39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

5.

Factor
49m³q² - 35mq² - 42m³q⁴p²

a)

7mq²(7m²q - 5 - 6m²p²q²)

b)

7mq²(7m³q - 5mq - 6m²p²q³)

c)

7mq²(7m² - 5 - 6m²p²q²)

d)

7mq²(7mq - 5 - 6m²pq²)

6.

a)

7x²+41x+24

b)

12x²+32x+24

c)

12x²+41x+24

d)

12x²+41x+16

7.

a)

5x²+16x+8

b)

6x²+12x+8

c)

6x²+16x+6

d)

6x²+16x+8

8.

a)

30x²-38x-16

b)

30x²+38x-16

c)

35x²+38x-16

d)

30x²+38x+16

9.

(x - 6)²

a)

x² - 12x + 36

b)

x² + 36

c)

x²- 36

d)

x² - 6x + 36

10.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

11.

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

a)

20 Multiple Choice

b)

10 Multiple Choice

c)

15 Multiple Choice

d)

5 multiple choice

12.

In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

13.

The perimeter of a rectangle is 44. The length is 4 more than the width.
Find the dimensions of the figure

a)

8,12

b)

14,18

c)

9,13

d)

2,6

14.

Sally and John are siblings. John is one less than 3 times Sally's age. The sum of their ages is 23. How old is John, How old is Sally?

a)

15,8

b)

20,3

c)

17,6

d)

18,5

15.

Daniel and Aliyah are siblings. Daniel is one more than 3 times Aliyah's age. The difference of of their ages is 25. How old is Daniel? How old is Aliyah?

a)

37,12

b)

35,10

c)

42,17

d)

68,43

16.

Find the x and y intercepts
5x - 3y = 15

a)

x intercept is 3
y intercept is 5

b)

x intercept is -3
y intercept is 5

c)

x intercept is 5
y intercept is -3

d)

x intercept is 3
y intercept is -5

17.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

18.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

19.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

20.

Write the equation in slope-intercept form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y = -1/4x + 6

b)

y = -1/4x - 6

c)

y = -1/4x - 8

d)

y = -1/4x + 8

21.

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

a)

y = 2x + 11

b)

y = 2x + 1

c)

y = 2x - 1

d)

y = 2x - 11

22.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

23.

Simplify 3(1 - 2x) + 7

a)

21 - 6x

b)

24 + 6x

c)

10 + 6x

d)

10 - 6x

24.

Simplify the following expression:

-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b +19

25.

5y + 4(3 - 2y) + 6 - y

a)

-4y + 18

b)

12y + 18

c)

-9y + 12

d)

4y + 16

26.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

27.

How else can you write $\sqrt{x}$ ?

a)

$x^{\frac{1}{2}}$

b)

$x^2$

c)

$x^{-2}$

d)

$x^{\frac{1}{4}}$

28.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

29.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

30.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

31.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

32.

Rewrite as a radical expression

$4^{\frac{2}{7}}$

a)

$\sqrt[]{4^7}$

b)

$\sqrt[7]{4^2}$

c)

$\sqrt[4]{2^7}$

d)

$\sqrt[]{7^4}$

33.

Which is equivalent to $\frac{1}{\sqrt[4]{r^5}}$ ?

a)

$^{r^{\frac{4}{5}}}$

b)

$r^{\frac{5}{4}}$

c)

$^{r^{-\frac{4}{5}}}$

d)

$^{r^{-\frac{5}{4}}}$

34.

$\left(3u^{-2}v^{-1}\right)^{-1\ }=$

Choose the correct answer.

a)

$\frac{u^2v}{3}$

b)

$\frac{9}{u^8}$

c)

$256u^{12}$

d)

$\frac{u^2}{v^6}$

35.

Choose the correct answer. $\frac{3x^4y^{-4}}{2x^{-1}y^2}$

a)

$\frac{3x^5}{2y^6}$

b)

$\frac{2y^7x^2}{3}$

c)

$\frac{2}{y}$

d)

$\frac{3}{2}$

36.

Simplify $\left(64a^6\right)^{-\frac{3}{2}}$

a)

$a^2$

b)

$\frac{1}{9a^2}$

c)

$\frac{1}{a^6}$

d)

$\frac{1}{512a^9}$

37.

a)

xy√y

b)

x²y²√y

c)

xy√xy

d)

2x2y√y

38.

Simplify:

a)

A

b)

B

c)

C

d)

D

39.

Simplify:

a)

A

b)

B

c)

C

d)

D

40.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

Algebra Review

Total questions: 40

Worksheet time: 3hrs 13mins

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