Free Printable 6th Math Review

1.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

2.

What are the coefficients in this expression?

m - 3n + 2p + 3

a)

1, -3, 2

b)

1, 3, 2

c)

-3, 2

d)

3, 2

3.

Translate the statement to an expression, "twice the quantity of b"

a)

$2+b$

b)

$2-b$

c)

$2b$

d)

\frac{2}{b}

4.

Which statements describe the expression:

5k + 7

Select all that apply.

a)

the product of five and a number increased by seven

b)

seven more than the product of five and a number

c)

the quotient of five and a number added to seven

d)

the product of five and a number decreased by 7

5.

Max is creating a garden shaped like a rectangle

The length of the garden is 8 feet
The width of the garden is 6 feet

Calculate the area of the garden if area =

$l\ \times\ w$

Type only the number for your answer!

(a)

6.

Max is creating a garden shaped like a rectangle

The length $\left(l\right)$ of the garden is 8 feet
The width $\left(w\right)$ of the garden is 6 feet

Calculate the perimeter of the garden if

perimeter = $2\left(l+w\right)$

Type only the number for your answer!

(a)

7.

In order to combine terms, they must have the same ____________ and the same ___________.

a)

variable, power

b)

coefficient, variable

c)

power, constant

d)

operation, power

8.

Combine like terms: $4x^2+9x\ +\ 10\ +\ 3x^{2\ }+\ 7x\ +\ 2$

a)

$23x^2\ +\ 12$

b)

$35x^2$

c)

$7x^2\ +\ 16x\ +\ 12$

d)

$23x\ +\ 12$

9.

Which property is demonstrated?

9+(2+4)=(9+2)+4

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Additive Identity Property

d)

Distributive Property

10.

Which expression demonstrated the Zero Product Property?

a)

$x\cdot1\ =\ x$

b)

$x+0\ =\ x$

c)

$x\cdot0=0$

d)

$x\cdot0=x$

11.

Negative integers are _______ than zero.

a)

greater

b)

less

12.

Positive integers are _______ than zero.

a)

greater

b)

less

13.

Opposites are integers that are the same distance from 0 on a number line.

a)

True

b)

False

14.

The elevation of Coachella, CA is $-22$ meters. The elevation of Salisbury, MD is $26$ meters. Which statement is true of the two elevations?

a)

The elevation of Coachella is lower than the elevation of Salisbury because all negative numbers are less than all positive numbers

b)

The elevation of Coachella is higher than the elevation of Salisbury since all negative numbers are greater than all positive numbers.

15.

Max had a fundraising goal of $200. He managed to earn $186 by the end of the fundraiser. Use an integer to make a comparison between the amount he earned and his fundraising goal.

a)

$-14$ because Max was $14.00 below his goal of $200.

b)

$14$ because Max was $14.00 above his goal of $200.

16.

What does this inequality sign mean?

<

a)

less than

b)

greater than

17.

What does this inequality sign mean?

>

a)

less than

b)

greater than

18.

Look at the number line.

Which mathematical statement is BEST supported by the number line, and why?

a)

-2 > 5, because the -2 is located to the left of the 5

b)

-2 < 5, because the -2 is located to the left of the 5

c)

-2 > 5, because the -2 is located to the right of the 5

d)

-2 < 5, because the -2 is located to the right of the 5

19.

Select the THREE comparisons that are FALSE.

a)

$10\ <\ -5$

b)

$\left|-30\right|=-30$

c)

$\left|-10\right|\ <\ \left|-17\right|$

d)

$-8\ >\ -2$

20.

What's another way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

21.

Order from least to greatest:

4,\ -6,\ -1,\ 0,\ 8,\ 3

a)

$8,\ 4,\ 3,\ 0,\ -1,\ -6$

b)

$-6,\ -1,\ 0,\ 3,\ 4,\ 8$

c)

$8,\ 4,\ 3,\ 0,\ -6,\ -1$

d)

$-1,\ -6,\ 0,\ 3,\ 4,\ 8$

22.

Your bank account balance on Monday was -$12. On Friday you made a deposit and your balance changed to $90. How much did you deposit in your account?

a)

$102

b)

$78

c)

$90

d)

$0

23.

Select the THREE ways that you can write a ratio:

a)

6 to 8

b)

6 and 8

c)

6 : 8

d)

6 < 8

e)

$\frac{6}{8}$

24.

How do you correctly write an ordered pair?

a)

x,y

b)

(x,y)

c)

(y,x)

d)

(a,b)

25.

What is coordinate R?

a)

(6,6)

b)

(1,0)

c)

(2,3)

d)

(0,1)

26.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

27.

In which quadrant is letter N?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

28.

Which coordinate is a reflection of Point B (-2, -2) over the Y-axis?

a)

A (2, -2)

b)

B (-2, - 2)

c)

C (2, 4)

d)

D (-2, 2)

29.

If b = 4, what is $2b-5$ equal to?

a)

3

b)

4

c)

5

d)

6

30.

If a = 40, what is $\frac{a}{5}$ equal to?

a)

45

b)

35

c)

8

d)

5

31.

If b = 6 and c = 1, what is $b^2-4c$ equal to?

a)

8

b)

16

c)

32

d)

35

32.

Which value of x is a solution to $3x+6=21$ ?

a)

3

b)

4

c)

5

d)

6

33.

Which equation represents the following:

Jason bought a soda that cost $1.95 and some candy. The total cost was $6.25.

a)

$1.95-c=6.25$

b)

$1.95c=6.25$

c)

$1.95+c=6.25$

d)

$\frac{c}{1.95}=6.25$

34.

Which equation represents the following:

Aiden raised a total of $145 during a school fundraiser selling magazine subscriptions. He sold 20 magazine subscriptions. How much did each magazine subscription cost?

a)

$m+20=145$

b)

$\frac{m}{20}=145$

c)

$m-20=145$

d)

$20m=145$

35.

Aiden raised a total of $145 during a school fundraiser selling magazine subscriptions. He sold 20 magazine subscriptions. How much did each magazine subscription cost?

(a)

36.

3⁴ Which number is the base?

a)

3

b)

4

37.

Write with an exponent:
$3\cdot3\cdot3\cdot3\cdot3$

a)

$3^5$

b)

$5^3$

38.

What mistake did this person make when solving?

a)

They solved $4^3$ incorrectly.

b)

They dividedundefined when they should have solved the exponent first.

c)

This answer is correct!

39.

*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)

(Hint: Fractions can be rewritten as division problems)

Evaluate the expression:
$\frac{15}{3}+3^2-5\left(2\right)$

(a)

40.

List the first 5 multiples of 8

a)

1, 2, 4, 8

b)

8, 16, 24, 32, 40

41.

What is the least common multiple (LCM) of 6 and 14?

a)

12

b)

48

c)

24

d)

42

42.

List all the factors of 12

a)

1, 2, 3, 4, 6, 12

b)

1, 2, 4, 12

c)

1, 12

d)

1, 2, 3, 4, 5, 6, 12

43.

The factors of 16 are 1, 2, 4, 8, 16

While the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

What are the Common Factors?

a)

1,2,3,4,5

b)

1,2,4,8

c)

12,3,4,6,8,12,16,24

44.

Find the GCF of 14 & 20.

a)

1

b)

2

c)

7

d)

14

45.

14.28 ÷ 4.2

a)

3.4

b)

3.6

c)

3.7

d)

3.5

46.

Mrs. Linda has 17.16 cups of brownie mix. If each brownie uses 0.33 cups of mix, how many brownies can Mrs. Linda make?

a)

52

b)

53

c)

54

d)

22

47.

A piece of wood is 33.6 feet long. If I want to cut it into 4.2 feet sections,how many sections will I have?

a)

5 sections

b)

2 sections

c)

8 sections

d)

6.5 sections

48.

Evaluate: 5.55 x 5.7 =

(a)

49.

Multiply

24.4\times1.3

(a)

50.

Evaluate

3.7\times0.43=

(a)

51.

Jackie earns $8.95 per hour. This week she worked 7.5 hours. How much did she earn this week?

a)

$67.125

b)

$67.12

c)

$67.13

d)

$68.00

52.

Find the sum: $13.72 + $28.49=

(a)

53.

Find the difference: 91.49 - 0.7

(a)

54.

Jenna bought a bag of gummy bears that cost $2.74. She gave the clerk $10. How much money will she get back in change?

a)

$12.74

b)

$4.36

c)

$7.26

d)

$2.64

55.

Put 6/8 in simplest form.

a)

3/4

b)

12/16

c)

1/4

d)

60/80

56.

Write the following fraction in simplest form:

\frac{9}{15}

(a)

57.

Which of the following is an equivalent fraction to 5/6?

a)

9/12

b)

10/12

c)

8/12

d)

14/18

58.

To find the reciprocal of a fraction, switch the numerator and the _________________.

a)

numerator

b)

denominator

c)

improper fraction

d)

mixed number

59.

What's the reciprocal of

\frac{2}{9}

?

a)

$29$

b)

$\frac{2}{9}$

c)

$\frac{9}{2}$

d)

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

60.

What is the reciprocal of 5?

(a)

61.

Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can Valerie cut?

a)

13

b)

6

c)

9

d)

This is not possible.

62.

A team of runners is needed to run a $\frac{1}{4}$ mile relay race . If each runner must run $\frac{1}{16}$ mile, how many runners do they need to run the race?

Which division expression represents the problem above?

a)

$\frac{1}{16}\div\frac{1}{4}$

b)

$\frac{1}{4}\left(\frac{1}{16}\right)$

c)

$\frac{1}{4}\div\frac{1}{16}$

d)

$\frac{1}{4}\left(\frac{16}{\left(1\right)}\right)$

63.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

64.

What is the unit rate (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

65.

Ilana made $45 babysitting for 6 hours. How much does she make per hour?

a)

$75 per hour

b)

$7.50 per hour

c)

$270 per hour

d)

$2.70 per hour

66.

Apples sell 4 for $2.40. How much do 6 apples cost?

a)

$0.60

b)

$0.40

c)

$2.80

d)

$3.60

6th Math Review

Total questions: 66

Worksheet time: 5hrs 38mins

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