Free Printable Algebra Review

1.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a ratio.

c)

A rational number cannot be a repeating decimal.

2.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

3.

Which of the following number is rational?

a)

$\sqrt{127}$

b)

$\pi$

c)

$2.5$

d)

$8.98763...$

4.

Which of the following correctly describes the set {... , -5, -4, -3, -2, -1}

a)

The set of all whole numbers.

b)

The set of negative integers.

c)

The set of positive integers.

d)

The set of non-negative integers.

5.

Select all the irrational numbers

a)

$7.\overline{16}$

b)

$\sqrt{7}$

c)

$\pi$

d)

$\frac{4}{3}$

e)

4.1235127...

6.

Evaluate x² - 2x + 1 when x = -3

a)

16

b)

-23

c)

-1

d)

none of these

7.

Simplify: 4(x - 8) - 7x

a)

-2x - 8

b)

-3x - 8

c)

-3x - 32

d)

11x - 12

8.

Give the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)

a)

{2, 9, 7, -8}

b)

{11, -3, 21, 6}

c)

-8 < x < 9

d)

-3 < y < 21

9.

If f(x)=2(3^x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

a)

19

b)

37

c)

13

d)

20

10.

The height of a basketball after it bounces is represented by h(t) = -8t² + 50t where h represents the height, in feet, and t represents the number of seconds that have passed since the ball bounced off the ground.

What is the input?

a)

Height in feet

b)

Height in inches

c)

Number of seconds that have passed

d)

Number of basketballs

11.

The height of a basketball after it bounces is represented by h(t) = -8t² + 50t where h represents the height, in feet, and t represents the number of seconds that have passed since the ball bounced off the ground.

If h(2) = 68 what does that mean?

h(2) means that the basketball was at a height of _____ feet after _____ seconds

a)

h(2) means that the basketball was at a height of __2___ feet after __68___ seconds

b)

h(2) means that the basketball was at a height of __68___ feet after __4___ seconds

c)

h(2) means that the basketball was at a height of __68___ feet after ___2__ seconds

d)

h(2) means that the basketball was at a height of __2___ feet after ___2__ seconds

12.

What is the domain of the relation shown in the table?

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

13.

What is the test to determine if a graph represents a function?

a)

Horizontal line test

b)

Vertical line test

c)

Heidelberg Uncertainty Test

d)

Obi Wan Kenobi Test

14.

Is the function represented by this table linear or nonlinear?

a)

Linear

b)

Nonlinear

15.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

16.

Solve the following inequality.
2(x - 3) - 5x $\le$ 9

a)

$\le$ -5

b)

$\ge$ -5

c)

$\le-1$

d)

$\ge$ 1

17.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

18.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

19.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

20.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

21.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

22.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

23.

Find x, if F(x) = 2.

a)

4

b)

-2

c)

-6

d)

8

24.

What is F(-8)?

a)

2

b)

-4

c)

-2

d)

0

25.

Which graph represents a function?

a)

b)

c)

d)

26.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

27.

Elliot wants to sign up for a gym membership. The gym require a $35 fee to sign up, then $12 every month. Write an equation to find the amount Elliot will pay for his gym membership "y" after "x" amount of months.

a)

y = 35x + 12

b)

y = 12x + 35

c)

y = 12x - 35

28.

Write the equation.

a)

f(x) = -5x + 1

b)

f(x) = x + 5

c)

f(x) = -2x

d)

f(x) = -5x + 6

29.

What is the equation for this table?

a)

y = -2x + 5

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = 5x + 5

30.

Jenny writes the equation y = 1/2x +5.
Why is she incorrect?

a)

The slope is -2, the equation should be
y = -2x + 5

b)

The y-intercept is 4, the equation should be y = -2x + 4

c)

The slope is -1/2, the equation should be
y = -1/2x + 5

d)

The y-intercept is -5, the equation should be y = -2x - 5

31.

Write the equation with a slope of -3 and a y-intercept of (0, 4).

a)

y = -3x + 4

b)

y = -12x

c)

y = x + 4

d)

y = 4x - 3

32.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

33.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

34.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

35.

2(3x + 4) = 6x + 8 is an example of which property?

a)

Community Property of Multiplication

b)

Distributive Property

c)

Commutative Property of Addition

d)

Associative Property of Addition

36.

8 + (5 + 2) = (8 + 5) + 2 is an example of which property?

a)

Addition Property of Equality

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Distributive Property

37.

8 + 1 + 9 = 8 + 9 + 1

a)

Additive Identity Property

b)

Associative Property of Addition

c)

Commutative Property of Multiplication

d)

Commutative Property of Addition

38.

If -5x - 1 = -11, then -5x = -10

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

39.

14 + 13 = 13 + 14 is an example of ______ property.

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Distributive Property

d)

Commutative Property of Multiplication

40.

Is $\sqrt{2}\cdot\sqrt{18}$ rational or irrational?

a)

Rational

b)

Irrational

41.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

42.

Which is true about this graph??

a)

it is shaded above and has a dashed line

b)

it is shaded below and has a solid line

c)

it is shaded above and has a solid line

d)

it is shaded below and has a dashed line

43.

Determine the ordered pair that IS a solution.

a)

(2, 2)

b)

(2, 4)

c)

(3, 2)

d)

(-3, 2)

44.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

45.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

Algebra Review

Total questions: 45

Worksheet time: 4hrs 45mins

Similar Resources on Wayground