Free Printable Algebra Prep

1.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

2.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

3.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

4.

Classify by number of terms:
12

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

5.

Classify by degree and number of terms:

3x³ – 6x

a)

Quadratic Binomial

b)

Cubic Binomial

c)

Cubic Trinomial

d)

4th degree Binomial

6.

Classify by degree and number of terms:

$4$

a)

quartic monomial

b)

constant monomial

c)

linear monomial

d)

constant polynomial

7.

Add the polynomials.
(2x + 5y) + (3x - 2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

8.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

9.

Add: (3x² + 2x + 1) + (2x² - 4x - 5) + (3x - 1)

a)

5x² + 6x - 7

b)

8x²- 3x - 5

c)

5x²+ x - 5

d)

6x² + 8x + 5

10.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

11.

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

12.

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

13.

$6m^4\left(-3m+5\right)$

a)

$-3m^4+2m^3$

b)

$-18m^5+11m^4$

c)

$18m^2+16m$

d)

$-18m^5+30m^4$

14.

$-7x^2\left(-x^2-6x-4\right)$

a)

$-7x^3+42x^2-28x^2$

b)

$-2x^2-7x-7$

c)

$7x^4+42x^3+28x^2$

d)

$-7x^3+3x^2-5x$

15.

$5n^2\left(-4n-4\right)$

a)

$-8n-2$

b)

$-20n^3-20n^2$

c)

$-20n^2+20n$

d)

$-20n-20$

16.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

17.

(x - 1)(x - 8)

a)

x² + 9x + 8

b)

x²+ 9x - 8

c)

x² - 9x - 8

d)

x² - 9x + 8

18.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

19.

Find the product:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

20.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

21.

Simplify the expression.
(x⁵ )(x⁵)

a)

x¹⁰

b)

x²⁵

c)

x¹⁶

d)

x⁸

22.

Simplify (c⁵)(c²)(c²)

a)

c²⁰

b)

c⁹

c)

c¹¹

d)

3c⁴⁵

23.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

24.

$\frac{15^9}{15^3}$

a)

15⁶

b)

15¹²

c)

1⁶

d)

1¹²

25.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

26.

Simplify the expression.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

27.

6⁰

a)

1

b)

0

c)

6

28.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

29.

(5³)⁷

a)

5²¹

b)

5¹⁰

c)

5⁴

d)

125²¹

30.

Simplify:
(7y⁴)²

a)

7y⁶

b)

14y⁸

c)

14y⁶

d)

49y⁸

31.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

32.

What is the exponential form of
4 x 4 x 4 x 4 x 4 x 4

a)

6⁴

b)

4²

c)

4⁶

d)

4 x 6

33.

Simplify (-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

34.

Simplify:

\frac{9^{15}}{9^3}

a)

$9^{-12}$

b)

$9^5$

c)

$9^{12}$

d)

none of these

35.

$2^8\ \cdot\ 2^{4\ }\ \cdot\ 2^3$

a)

$8^{13}$

b)

$2^{15}$

c)

$4^{96}$

d)

none of these

36.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

37.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

38.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

39.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

40.

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

41.

In slope intercept form (y=mx+b) what is the "m"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

42.

In slope intercept form (y=mx+b) what is the "b"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

43.

State the slope of the line y = 3x + 2

a)

3

b)

-3

c)

2

d)

-2

44.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

45.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

46.

Find the slope of the line

a)

2

b)

-2

c)

1/2

d)

-1/2

47.

Find the y-intercept of the line

a)

2

b)

-2

c)

1

d)

0

48.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

49.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

50.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

51.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

52.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

53.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x

b)

y = x + 1

c)

y = -x

d)

y = -x + 1

54.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 3x - 3

b)

y = 3x - 1

c)

y = -3x - 3

d)

y = -3x - 1

55.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -1/3x + 3

b)

y = 1/3x - 3

c)

y = -1/3x - 3

d)

y = 1/3x + 3

56.

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

57.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

58.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

59.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

60.

Which system of linear equations has no solution?

a)

b)

c)

61.

What is the solution to the following system of equations?

a)

(0,3)

b)

(-3, 1)

c)

(1, 3)

d)

Infinitely Many Solutions

e)

No Solution

62.

What is the solutions to the following system of equations?

a)

(5,2)

b)

(2, 5)

c)

(0,3)

d)

Infinity Many Solutions

e)

No Solutions

63.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

64.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

65.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Same line

c)

Parallel lines

66.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

67.

Which variable can you eliminate?

4x+9y=28

-4x-y=-28

a)

None

b)

x

c)

y

68.

Which variable can you elminate?

3x+7y=23 -

3x-7y=-17

a)

None

b)

x

c)

y

69.

After adding the following,

-5x + 5y = -5

x - 5y = -7

You get: -4x = -12

a)

True

b)

False

c)

No solutions

70.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

71.

Solve by elimination
-2x + 6y = 16
-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

72.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

73.

Solve the system:
x + 6y = 17
x - 3y = 8

a)

(5, 2)

b)

(11, 1)

c)

(1, 11)

d)

no solution

74.

Solve by elimination:
x + 9y = 8
-6x - 9y = -3

a)

(1,-1)

b)

(1,1)

c)

(-1,1)

d)

(-1,-1)

75.

Which expression represents the perimeter?

a)

3x + 3

b)

4x + 3

c)

4x + 6

d)

6x + 6

76.

a)

6b

b)

b + 5

c)

b + 9

d)

b - 13

77.

a)

w - 18

b)

w- 16

c)

4w - 34

d)

4w + 34

78.

What is sushi traditionally wrapped in?

a)

rice paper

b)

squid

c)

edible seaweed

d)

lettuce

79.

What three colors appear on the Italian flag?

a)

green, yellow, white

b)

red, blue, yellow

c)

red, white, green

d)

blue, white, red

80.

In the NFL, which team is from Denver?

a)

Cowboys

b)

Rams

c)

Broncos

d)

Cardinals

Algebra Prep

Total questions: 80

Worksheet time: 4hrs 2mins

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