Free Printable Algebra Final Review

1.

0,1,2,3,4, are the smallest _____________?

a)

Rational Numbers

b)

Whole Numbers

c)

Natural Numbers

d)

Irrational Numbers

2.

What is an example of an irrational number?

a)

-2/3

b)

√7

c)

23

d)

0

3.

Which of the following numbers is not an integer?

-3 6 0 0.23 -45

a)

-3

b)

0

c)

0.23

d)

-45

4.

∛8

a)

2

b)

-2

c)

±2

d)

None

5.

What is the cube root of 27?

a)

9

b)

3

c)

-3

d)

-9

6.

7[12 − (6 − 2) ÷ 4]

a)

7

b)

77

c)

14

d)

0

7.

What is the value of the expression
x² + y² + x - y
when x = -1 and y = 3

a)

6

b)

8

c)

12

d)

16

8.

4y² - 3(2y + 1)(3y - 12) when y=5

a)

301

b)

78

c)

1

d)

856

9.

–3r – 6(–7 – 10r)

a)

–63r – 42

b)

– 63r + 42

c)

– 13r + 42

d)

57r + 42

10.

–6(x – 4) – 10(1 + 9x)

a)

3x – 14

b)

–96x + 14

c)

3x – 34

d)

84x + 34

11.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

4m + 8

b)

8m - 4

c)

8m + 4

d)

4m - 8

12.

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

13.

Solve:
^{-3x + 6(1 + 2x) = 2x + 27}

a)

x = 3

b)

Many Solutions

c)

No Solutions

d)

x = (-11)

14.

Solve:
^{2(3x - 6) = -12 + 6}

a)

x = 4

b)

No Solution

c)

Many Solutions

d)

x = (-6)

15.

Solve:
^{25 - 5a = -5( a - 4)}

a)

a = 0

b)

a = 10

c)

No Solution

d)

Many Solutions

16.

x/5 - 13 = 20

a)

145

b)

165

c)

180

d)

190

17.

Solve the equation for x.

a)

6

b)

12

c)

0

d)

3

18.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

19.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

20.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

21.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

22.

Is this table a function or not a function?

a)

Function

b)

Not a Function

23.

Q+R=H
solve for R

a)

R=Q/H

b)

R=H+Q

c)

R=HQ

d)

R=H-Q

24.

a=3p+1
solve for p

a)

p=3a+1

b)

p=(a+1)/3

c)

p=(a-1)/3

d)

p=a+3

25.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

26.

Find the slope of the line that passes through
(-12, -5) and (0, -8)

a)

1/4

b)

-1/4

c)

4

d)

-4

27.

Find the slope of the line.

a)

3/2

b)

2/3

c)

-3/2

d)

-2/3

28.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

29.

Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?

a)

It cost 1.50 per topping

b)

It cost 1.50 for unlimited toppings

c)

It cost $15 for a large pizza

d)

It cost $15 for a large pizza with no toppings

30.

What is the slope for the table?

a)

2/3

b)

3/2

c)

-3/2

31.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

32.

What is the y- intercept?

a)

-8

b)

-2

c)

-5

d)

7

33.

State the slope and y-intercept
2x - 4y = 8

a)

m= 1/2 b= - 2

b)

m=1/2x b=2

c)

m=1/2x b=-2

d)

m=1/2 b=2

34.

Write the slope intercept form of the equation of a line using the graph.

a)

A

b)

B

c)

C

d)

D

35.

Write the equation.

a)

A

b)

B

c)

C

d)

D

36.

Write the equation.

a)

A

b)

B

c)

C

d)

D

37.

Graph x + y = 3

a)

A

b)

B

c)

C

d)

D

38.

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)

39.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

40.

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)

41.

Write an equation
m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

42.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

43.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

44.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

45.

Write an equation that is parallel to the line y = x - 5 through (1, -2)

a)

y = -3x +1

b)

y = x - 3

c)

y = x + 1

d)

y = 3x +1

46.

Write an equation of a line perpendicular to
y = 7x +1 through (-4, 0)
REMEMBER: You must start your equation in point-slope form before you can rearrange it into slope-intercept form!

a)

y = 1/7x - 4/7

b)

y = -1/7x - 4/7

c)

y = 2/7x - 4/7

d)

y = -4/7x + 2/7

47.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

48.

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

49.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

50.

Hint: Use points given to write an equation for the line of best fit.

a)

440 turtles

b)

120 turtles

c)

150 turtles

d)

130 turtles

51.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

52.

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

a)

(5,-2)

b)

(5, 2)

c)

(2,3)

d)

(3,2)

53.

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174
4d + 2c = 50

b)

d + c = 50
4d + 2c = 174

c)

d + c = 50
2d + 4c = 174

d)

d + c = 174
2d + 4c = 50

54.

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

55.

Solve the system by elimination OR graphing.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

56.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

57.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

58.

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

59.

Which system of inequality 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 + 4

60.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

Algebra Final Review

Total questions: 60

Worksheet time: 6hrs 51mins

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