Free Printable Final Exam Review

1.

$6\ =\ 12\ -\ \frac{2}{3}m$ Choose all that apply correctly

a)

The first step is to multiply both sides by $-\frac{3}{2}$

b)

the first step is to subtract 12 on both sides

c)

m= -27

d)

the second step is to multiply both side by $-\frac{3}{2}$

e)

m= 9

2.

Choose all that correctly apply

a)

To solve a two step equation you first isolate the term by using addition or subtraction

b)

The second step to solving a two step is to isolate the variable by using multiplication or division

c)

To isolate a term in solving a two step equation you use multiplication or division

d)

to isolate a variable in solving a two step equation you use addition or subtraction

3.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

4.

Solve:
8x + 4y = 16 , for y

a)

y = -2x + 4

b)

y = 2x - 4

c)

y = 2x + 4

d)

y = -2x - 4

5.

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

a)

x = -6

b)

x = 6

c)

x = 3

6.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

7.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

8.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

9.

$\frac{2}{3}m\ =\ -6$

a)

9

b)

-9

c)

4

d)

-4

10.

\frac{d-8}{-2}=\ 12

a)

-32

b)

-16

c)

-10

d)

32

11.

True or False: In order to solve the equation below, you would add 6 to each side then multiply by -8 on each side.

\frac{g}{-8}\ -6\ =\ -12

a)

true

b)

false

12.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

13.

the inverse means ....

a)

to do the same

b)

to undo

c)

to do the opposite

d)

to always multiply

14.

Dan has 9 sticky notes left. I have 9 times as many as Dan. How many sticky notes do I have?

a)

81

b)

9

c)

72

15.

What is the definition of a coefficient?

a)

The letter used to represent a quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number in back of a variable

16.

Which of the following is an expression?

a)

6x + 2x = 6

b)

10 = 5x

c)

2x + 6x - 10

d)

6x² + 10 = 25

17.

Which of the following is an equation?

a)

6x + 2x - 6

b)

6x² + 10 = 25

c)

6x² + 10 - 25

d)

10y - 6 + 34u

18.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

19.

Which equation has x =2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

20.

Is 5 a solution for 3x + 4 = 19

a)

yes

b)

no

21.

Find the perimeter of the triangle

a)

$4x+64$

b)

$4x^2+64$

c)

$3x+50$

d)

$3x^2+50$

22.

Choose the correct answer below.

a)

$-2x^2-3x+14$

b)

$7x^4+9x^3-4x^2-3x-4$

c)

$7x^5-x^4+10x^3-x^7$

d)

$3x^4+4x^3-6x^2+6$

23.

The distance around an object is called the

a)

area

b)

perimeter

24.

What is the PERIMETER of this rectangle?

a)

22 sq. yd.

b)

22

c)

22 cm

d)

22 yd.

25.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

26.

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

27.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

28.

(82 ÷ 2) × 3 – 17

a)

206

b)

100

c)

106

d)

5

29.

4 + 9 + 8 ÷ 4

a)

5.25

b)

5

c)

25

d)

15

30.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

31.

Sam bought two CDs for $13 each. Sales tax for both CDs was $3. How much did Sam pay in all?

a)

$18

b)

$78

c)

$29

d)

$14

32.

Write an equation to represent Ms. Jones' order:

Ms. Jones orders Taco Bell for her triplets. She gets 3 crunchwraps and 3 quesadillas. Quesadillas are $1.50. Her total cost was $7.00

a)

3c + 3q = 7.00

b)

6q = 7.00

c)

1.50 + 1.50 + 3q = 7.00

33.

Choose the equation that models the following situation:

Mike joins a gym for $25 up front and a $30 monthly fee.

a)

$y\ =\ -25x+30$

b)

$y=25x+30$

c)

$y=30x+25$

d)

$y=30x-25$

34.

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

a)

c = 2.75b + 4

b)

c = 2.75b

c)

c = 4b- 2.75

d)

c = 2.75b - 4

35.

A linear equation is shown below.
2(x + 3) - 4 = 18
Which value of x makes the equation true?

a)

x = 3

b)

x = 6

c)

x = 11

d)

x = 8

36.

What type if number is $\sqrt{2}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Whole Number

37.

What type of number is $3.\overline{5}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

38.

Check all the numbers that are rational.

a)

$\sqrt{36}$

b)

$-\frac{3}{8}$

c)

$4\pi$

d)

$-200$

39.

What two numbers is the $\sqrt{37}$ between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

40.

What two numbers is the $\sqrt{24}$ between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

41.

How can you tell if a number is rational?

a)

it has a positive value

b)

it can be written as a ratio of two integers (a fraction)

c)

it has a negative value

d)

it has a $\pi$ symbol

42.

Which number is LARGER than $\sqrt{99}$ ?

a)

$\frac{1}{2}of\ \frac{1}{3}$

b)

$5\left(12-9\right)\div\left(5-19\right)$

c)

$\left(\frac{\sqrt{16}}{4}\right)^{25}$

d)

$\frac{400}{2^2}$

43.

Which numbers are irrational? (check all that apply)

a)

$\sqrt{121}$

b)

$3\sqrt{2}$

c)

$\frac{-11}{5}\pi$

d)

$23.\overline{9}$

44.

$-\frac{13}{4}$ is ______________ $-\sqrt{9}$

a)

greater than

b)

less than

c)

equivalent to

45.

$\frac{\sqrt{196}}{\left(3\times6\right)}$ is ______________ $0.\overline{7}$

a)

greater than

b)

less than

c)

equivalent to

46.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

47.

What are your counting numbers (1,2,3..)?

a)

Rational Numbers

b)

Whole Numbers

c)

Natural Numbers

d)

Irrational Numbers

48.

A number can be rational and irrational.

a)

True

b)

False

49.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

50.

What is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

51.

Based on the chart, how many subsets are within the integers set?

a)

1

b)

2

c)

3

d)

none

52.

Identify the sets to which the following real number belongs. Check all that apply.

\frac{25}{36}

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

53.

Identify the sets to which the following real number belongs. Check all that apply.

-22

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

54.

Identify the sets to which the following real number belongs. Check all that apply.

\sqrt{100}

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

55.

Solve:

a)

-9

b)

-28

c)

9

d)

4

56.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

57.

$\frac{3}{7}=\frac{x-3}{21}$

a)

12

b)

9

c)

9.4

d)

6

58.

$\frac{2x+5}{4}=\frac{x-7}{6}$

a)

-7.25

b)

-5

c)

-8

d)

20

59.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

60.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

61.

Solve:

$-4x+3\left(5x+10\right)=-36$

a)

x = 12

b)

x = -10

c)

x = -6

d)

x = -16

62.

3x - 8 = 3(x - 4) + 1

a)

One Unique Solution

b)

No Solution

c)

Infinitely Many Solutions

63.

3x - 7 = 3(x - 3) + 2

a)

Infinitely Many Solutions

b)

One Unique Solution

c)

No Solution

64.

3x - 6 = 4 + 2x

a)

One Unique Solution

b)

No Solution

c)

Infinitely Many Solutions

65.

8x + 4 = 4(2x + 1)

a)

No Solution

b)

Zero Solution

c)

Infinitely Many Solutions

66.

5(x - 3) + 6 = 5x - 9

a)

Infinitley Many Solutions

b)

No Solution

c)

One Unique Solution

67.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

68.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

69.

2a + 2c + 5

how many terms? what's the constant?

a)

2 terms, the constant is 2c

b)

1 term, the constant is 5

c)

3 terms, the constant is 5

d)

3 terms, the constant is 2a

70.

A variable represents...

a)

an unknown amount that can be anything

b)

a letter

c)

a math term

d)

an operation

Final Exam Review

Total questions: 70

Worksheet time: 2hrs 12mins

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