Free Printable 1st 9 Weeks Comp Math Study Guide

1.

If two different numbers have a sum of zero, which statement is true?

a)

One of the numbers is zero.

b)

The numbers are equivalent.

c)

The numbers are opposites.

d)

The numbers are multiplicative inverses of each other.

2.

Which of the following expressions is the result of the application of the associative property to
$\left(27+36\right)+23$ ?

a)

$\left(27\times23\right)+\left(36\times23\right)$

b)

$\left(36+27\right)+23$

c)

$27+\left(36+23\right)$

d)

$63+23$

3.

Linda used a number line to simplify an expression.

Which expression did Linda simplify based on the number line?

a)

$-9+1$

b)

$-1-9$

c)

$-1-8$

d)

$1-8$

4.

Which number line correctly represents $-6+2$ ?

a)

b)

c)

d)

5.

Which property is illustrated by this equation? $8+\left(3+6\right)=\left(8+3\right)+6$

a)

distributive property

b)

identity property of addition

c)

associative property of addition

d)

commutative property of addition

6.

Which numbers are additive inverses of each other?

a)

$5\ and\ \frac{1}{5}$

b)

$-5\ and\ 5$

c)

$5\ and\ -\frac{1}{5}$

d)

$-5\ and\ -5$

7.

Which situation can be modeled by the expression $60+\left(-40\right)+80$ ?

a)

Mae ran a distance of 60 meters north from a starting point, turned around and ran 40 meters south, and then turned around again and ran 80 meters north to a stopping point. The expression represents her distance from the starting point, in meters.

b)

The temperature at noon in Veronica’s city was 60°F. By 8 p.m., the temperature had dropped to 40°F. By noon the next day, it had increased to 80°F. The expression represents the total temperature change over a 24-hour period.

c)

Jennifer opened a new savings account on Thursday with a deposit of $60. She made a deposit of $40 on Friday and a withdrawal of $80 on Saturday. The expression represents her new account balance.

d)

Karla processed 60 boxes for shipping on Monday, 40 on Tuesday, and 80 on Wednesday. The expression represents the total number of boxes she processed on these three days.

8.

Which statement best models the equation below?

-7+7=0

a)

A girl earned $7 per hour working 7 hours.

b)

A train backed up 7 feet and then moved forward 7 feet.

c)

A cup contained 7 ounces of water after 7 ounces were poured out from the cup.

d)

A person walked 7 feet forward, stopped, and then walked another 7 feet forward.

9.

Which of the following properties is shown in the equation below?

3\times\left(6\times2\right)=\left(3\times6\right)\times2

a)

distributive property

b)

multiplicative identity property

c)

associative property of multiplication

d)

commutative property of multiplication

10.

Which equation illustrates the associative property of multiplication?

a)

$3\times2=2\times3$

b)

$\left(3\times5\right)\times6=3\times\left(5\times6\right)$

c)

$3\left(2+8\right)=3\left(8+2\right)$

d)

$3\left(2+6\right)=3\times2+3\times6$

11.

What is the value of $-8-\left(-10\right)$ ?

a)

$-18$

b)

$-2$

c)

$2$

d)

$18$

12.

Look at the temperature on the thermometer.

If the temperature increases by 40 degrees, what will be the new temperature?

a)

$-45\degree C$

b)

$-35\degree C$

c)

$35\degree C$

d)

$45\degree C$

13.

$4+\left(-11\right)$

a)

$15$

b)

$7$

c)

$-7$

d)

$-15$

14.

What is the value of $-536-421$ ?

a)

$-957$

b)

$-115$

c)

$115$

d)

$957$

15.

What is the value of the expression $609-\left(-263\right)$ ?

a)

$-872$

b)

$-346$

c)

$346$

d)

$872$

16.

Sheila simplified an expression using the following steps.
Step 1: $5x+4\left(3+2x\right)$

Step 2:

5x+12+8x

Step 3:

5x+8x+12

Step 4:

13x+12

Which property justifies Step 3?

a)

identity property

b)

associative property

c)

distributive property

d)

commutative property

17.

Which expression is equivalent to $2+y+y+y+y+y+3$

a)

$5y$

b)

$5y+5$

c)

$y^5+5$

d)

$2y^5+3$

18.

Tony scored n points in the first basketball game of the season. The expression below represents the total number of points that Tony scored in the first three basketball games of the season.

$\left(n\right)+\left(2n\right)+\left(2n-3\right)$

Which expression is equivalent to the total number of points Tony scored in the first 3 games?

a)

$2n$

b)

$12n$

c)

$4n-3$

d)

$5n-3$

19.

Which expression is equivalent to $m+\left(p+6\right)$ by the associative property?

a)

$\left(m+p\right)+6$

b)

$m+\left(6+p\right)$

c)

$\left(p+6\right)+m$

d)

$p+6+m$

20.

If x and y are integers, then $3\left(x+y\right)=3x+3y$ is an example of which property?

a)

distributive property

b)

identity property of addition

c)

associative property of addition

d)

commutative property of addition

1st 9 Weeks Comp Math Study Guide

Total questions: 20

Worksheet time: 21mins

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