Two-Step Equations
Expanding/Simplifying
Equivalent Expressions
Distributive Property
Combine Like Terms
100

70= −8x+38

x = -4

100

9v−6w+v+v+v

12v - 6w

100

Are these two expressions equivalent? Use substitution to check.

4a + 2b             and                 6ab

What is:

No, they are not equivalent.

100

Apply the distributive property to write an equivalent expression:

2(4x + 3) = ?

What is:


8x + 6

100

Simplify the expression by combining like terms:

a + a + 2 + b + 4 + c + c

What is:

2a + b + 2c + 6

200

6(2y+3)=42

y=2

200

Simplify:

5(2v) + 6

10v + 6

200

Are these two expressions equivalent? Use substitution to check.

2f - 4e + 4e      and             2f

What is:

Yes, they are equivalent!

200

Apply the distributive property to write an equivalent expression:


5(2a - 4g)

What is:


10a - 20g

200

Simplify the expression by combining like terms:


4a + 3b + 3 + a + 2b - 10

What is:

5a + 5b - 7

300

Solve for z.

−6+3z=  66

z=4

300

Simplify:


 4 − 2(x+5)

What is:


-2x - 6

300

Write an equivalent expression to

-4(u - 1)


Multiple correct answers

*one possible answer is 

-4u + 1

300

Write this expression in factored form:

15a + 10b = ?

What is:


5(3a + 2b)

300

Simplify the expression by combining like terms:


3c + 4c - 6c

What is:


c

400

−35−2c=  −27

c = -4

400

Simplify:

9(6n+7)−7n

47n + 63

400

Write two equivalent expressions to 

4(2c - 3)


Multiple correct answers


8c - 12

-12 + 8c

400

Use the GCF and the distributive property to write an equivalent expression:

16w - 12r

What is:

4(4w - 3r)

400

Simplify the expression by combining like terms:


(x + 6) + (x + 5) + (x + 3)

What is:

3x +14

500

3(−4x+5)+5x−3=26

x = -2

500

Simplify: 


4x + 3 - (2x + 5)

2x - 2

500

Write 3 equivalent expressions to 

-2(3x - 6)

Multiple correct answers

*-6x + 12

*12 - 9x

* -6(x+2)

500

Use the GCF and the distributive property to write an equivalent expression:

-24j - 56i

What is:

-8(3j + 7i)

*multiple correct answers

500

Simplify the expression by combining like terms:

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

What is:

x + 10