Algebraic Expressions and Equations

Algebraic Expressions and Equations Test Review

6.7B 6.7C 6.7D 6.10B 6.9A

Equivalent Algebraic Expressions

To determine if two or more expressions are equivalent:

1.)Substitute a value of your choosing for the variable(letter).

2.)Follow order of Operations

Multiple Select

Which expressions in the list are equivalent? (check all that apply)

• 3(x +3)

• 4x+ 5 - x – 4

• 3x + 9

• 12 + 3x-3

Multiple Choice

True or False??

3 + 2x + (-4) – x is equivalent to x-1

• True

• False

EQUATION Vs. Expression

Equation HAS an equal sign.

Expression does not.

Multiple Choice

Which of the following represents an expression?

• 25= 12 + 13

• x + 2y = 15

• -2x + 20

• 50 = -5x

Multiple Choice

Which of the following does NOT represent an equation?

• twice a number is six.

• x + 6 = 10.

• 6 years older than Mike.

• -9 + 2 = 7

Substitution with Equations

-Plug in the provided value and see if the equation is true.

Multiple Choice

For which equation is z =12 a solution?

• z +3 =17

• 12z = 1

• z-15= -3

• $z\ \div3\ =\ 36$

Multiple Choice

Which of the values below will make x - 8 = -2 true?

• 10

• -10

• 4

• 6

Writing Algebraic Expressions and Equations

 $\ \left(+-\times\div\right)$  Make sure to pay attention to operation words. 

Multiple Choice

The product of a number and

thirteen.

• $x\div13$

• 13 + x

• x -13

• 13x

Multiple Choice

The difference between x and eight is fifteen.

• 8 - x = 15

• x - 8 = 15

• x-8

• 8 - x

Writing Algebraic Expressions and Equations Word Problems

Multiple Choice

Elaina and Sophia sold a total of 32 boxes of popcorn for a school fundraiser. Elaina sold 15 boxes of popcorn. Which equation represents how many boxes of popcorn Sophia sold?

• x = 15 – 32

• 32 + 15 = x

• 32 + x = 15

• 15 + x = 32

Multiple Choice

Ava took boxes of sandwiches to a picnic. Each box contained 8 sandwiches. Which expression represents the number of sandwiches she took to the picnic?

• 8b

• 8 ÷ b

• b – 8

• 8 + b

Multiple Choice

Which problem situation matches the equation below?

6x=72

• Abe has 72 baseball cards in his collection. He gave 6 of them to Jim. What is x, the number

  of cards Abe has left?

• Mrs. Small has 72 DVDs. She stores them on a shelf above the television. She put 6 DVD in a stack. How many stacks will she have?

• Mrs. Barnes bought 6 dozen cookies for her son’s birthday. How many cookies did she buy, x?

Equivalent Fraction, Decimal, Percents

Fraction to decimal

Multiple Choice

Convert the following fraction to a decimal.

 $\frac{11}{20}$  

• 1.81

• 0.11

• 0.55

• 0.2

Multiple Choice

Convert the following fraction to a decimal.

 $\frac{25}{40}$  

• 0.25

• 1.6

• 0.254

• 0.625

Multiple Choice

A variety pack of sodas contains contains 13 cans of Sprite and 7 cans of Coke. What decimal represents the fraction of Coke in the pack?

• 0.35

• 0.07

• 0.65

• 0.13

Equivalent Fraction, Decimal, and Percents

Percent to Decimal

Multiple Choice

Convert the following percent to a decimal.

8%

• 0.8

• 0.08

• 8.0

• 0.008

Multiple Choice

Convert the following decimal as a percent.

0.825

• 82.5%

• 825%

• 0.825%

• 8.25%

Multiple Choice

Megan painted her locker 100% red. What is 100% as a decimal?

• 0.001

• 10.0

• 0.1

• 1.00