Solve Equations with Variables on Both Sides and Distributive Property

Choose all of the following options that are possible first steps when solving

2(10 + 12x) = 3 + 9x

• Subtract 3 from both sides of the equation

• Distribute the 2 inside the parentheses to 12x

• Subtract 9x from the right side only

• Distribute the 2 inside the parentheses to 10

• Divide by 2 on both sides

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

Which equation is represented by the algebra tiles in the picture shown?

• -4x + 7 = 2x - 5

• 7 + 4x = 2x + 5

• 4x + 7 = -2x + 5

• -4x - 7 = 2x + 5

Tags

CCSS.HSA.REI.C.8

Solve the following equation for p.

−0.75p − 4 = 0.25p

• p = -4

• p = 4

Simplify and tell whether the equation has one, zero or infinite solutions.

2(3x - 6) = -12 + 6x

• x = 4; One Solution

• x = -x; No Solution

• 0 = 0; Infinite Solutions

• x = 0; One Solution

Tags

CCSS.8.EE.C.7A

Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...

• Subtract 5 from both sides of the equals sign

• Add x to both sides of the equals sign

• Add 3x to both sides of the equals sign

• Subtract 1 from both sides of the equals sign

Fill in the blank with the proper answer choice that will result in the equation having no solution.

8x ​ (a)   = 8x - 6​

• -6

• -8

• 8x

• -8x

Tags

CCSS.8.EE.C.7A

-8(-8x - 6) = -6x - 22

SHOW YOUR WORK!

• 2/5

• -1

• 8/7 

• 2

Tags

CCSS.8.EE.C.7B

Which of the following equations require you to use the Distributive Property first? Select all that apply.

• 6x - 8 = 7(x + 2)

• 7n - 5 = 3

• 2(a - 9) = 9a + 1

• 4 - 9y+ 8 +2y

Solve:
3(3x - 6) = 18

SHOW YOUR WORK!

• x = 4

• x = -4

• no solution

• infinite solutions

Tags

CCSS.7.EE.B.4A