Creating Equivalent Expressions (7th Grade)

Combining Like Terms

100

True or False:

Combining Like terms means adding or subtracting terms that have the same variable to the same power.

What is true

200

Simplify the expression by combining the like terms.

3x + 4 + x

4x + 4

300

Combine like terms to simplify 

3x + x² - 15 - 5x

x² + (-2x) - 15

400

Simplify by adding like terms 

4y + (-3) + x - (-9y) + 8 + 3x 

4x + 13y + 5

500

Combine like terms 

4x² - xy + 3x - (-x²) + 2y + 3xy - (-3x)

5x² + 2xy + 6x + 2y 

Factoring

100

True or False:  When factoring I should ALWAYS use the GCF available

True

200

Use Factoring to write an equivalent expression

12x + 6

6(2x + 1)

300

Factor the following expression

4xy + 10x

2x(2y + 5)

400

Factor

 16x² + 4x⁴

4x²( x² + 4)

500

Factor the following expression

8x³y²+ 4x²y³ - 16xy

4xy(2x²y + xy² - 4)

Distributive Property

100

True of False:  The coefficient needs to be multiplied by each term inside of the paraenthasis to properly distrube.

True

200

Write an equivalent expression for: 

2( 3x + 1)

6x + 2

300

Use the Distrutive Property to create an equivalent expression.

7x(4x + 3z)

28x² + 21xz

400

Create an equivalent expression 

7(5x - y) + 2(-3x)

29x - 7y

500

Simplify using Distributive Property

2x( 3xy - 5y + x) + 3(x + xy)

6x²y + 2x² - 2xy + 3x

Evaluating with Substitution

100

True or False:  I shouldn't rewrite the expression with the values replacing the variables once I know what each variable represents

FALSE

200

Evaluate 5x - y

if x = 3 ; y = -2

17

300

If x = 5 and y = ^-1/₄

(7.2x)/(12y)

-12

400

When a = 5 and b = -0.25

Evaluate

l  4.2a + 6b  l

19.5

500

Frank was given the expression g³ + h² where g = 2 and h = -4.  Below is his work.  Did he make an error, and if so what error did he make.

g³ + h²    =    (2)³ + - 4² 

= 8 - 16    =    -8

Frank did not square (-4) correctly. (-4)² is how he should have written it.  Had he done it correctly he would have gotten 8 + 16 = 24.

Proportions reminders

100

True or false:  In a proportional relationship I won't always have the same unit rate.

False

200

The proportion of a proportional relationship is called ____

Unit Rate 

OR 

Constant of Proportionality

300

Piper bought 3 ounces of candy cane for $11.34.  What would be the price of candy cane dust per ounce?

$3.78 per ounce of candy cane dust.

400

1/4 of the classrooms in town are middle school classrooms.  If 40 classrooms are for middle school.  How many classes are there total in town?

160 total classroom

500

The school store sells 5 gel pens for $9.  How much should it cost to buy 36 gel pens?

It should cost $64.80 for 36 gel pens.