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.