Foundations of Algebra Solving Equations

How many solutions does the equation have? 

2(4 + 3x) = (9x − 2) − (x + 4)

• 1 solution

• 2 solutions

• Infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

Using the appropriate property of equality, which one of the following is a valid next step for solving the equation 7x + 20 = 4 − x ? 

• 7x + 24 = −x 

  
  

• 8x + 20 = 4

• 7x = 24 − x

• 20 = 4 + 6x 

  
  

Which equation is equivalent to 

7(b − 4) = 5(b + 4) + 6? 

• 
  7b − 4 = 5b + 10

• 7b − 4 = 5b + 24

• 7b − 28 = 5b + 26

• 7b− 28 = 5b + 50

Tags

CCSS.8.EE.C.7A

Select the box that correctly identifies the only solution or the best description of how many solutions there are for each equation.

Write the number for the choice you select.

​

Tags

CCSS.8.EE.C.7A

Steven needs to solve the equation 6x + 10 = 2(x - 5).

Which equations represent a first step Steven could use to solve the original equation?

Select all that apply. 

• Steven subtracts 2 from both sides of the equation to get 6x + 8 = x - 5. 

• Steven subtracts 10 from both sides of the equation to get 6x = 2(x - 15). 

• Steven distributes 2 on the right side of the equation to get 6x + 10 = 2x - 10.

• Steven divides both sides of the equation by 10 to get 6x + 1 = 5(x - 5). 

• Steven divides both sides of the equation by 2 to get 3x + 5 = x - 5.

Harper has an amount of money saved that can be represented by the expression 4x + 16.

Her friend Margaret has savings represented by the expression 8x + 32.

Which describes how Margaret's amount of money saved compares to Harper's amount saved? 

• Margaret's amount saved is 2 times as much as Harper's amount saved. 

• Margaret's amount saved is 4 times as much as Harper's amount saved. 

• Margaret's amount saved is 6 times as much as Harper's amount saved.

• Margaret's amount saved is 8 times as much as Harper's amount saved.

Tags

CCSS.7.EE.A.1

The formula for the perimeter (P) of a rectangle is P = 2L + 2W. 

What should be the first step when 

solving for W? 

• P + 2L = 2W 

• P − 2L = 2W 

• P + 2W = 2L 

• P − 2W = 2L

Tags

CCSS.HSA.REI.B.3

If 2x − 9 = 15 − x, then x =

• 2

• 4

• 6

• 8

Bronson earns an amount of money that can be represented by the expression 12x + 6. His friend Robbie's earnings can be represented by the expression 48x + 24.

Which describes how Bronson's amount of money earned compares to Robbie's amount earned?

• Bronson's amount earned is 2 times as much as Robbie's amount earned.
  

• Bronson's amount earned is 4 times as much as Robbie's amount earned.

• Bronson's amount earned is 1/2 as much as Robbie's amount earned.

• Bronson's amount earned is 1/4 as much as Robbie's amount earned. 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Please solve this equation

1.2x = 9.6

• x = 8

• x = 10.8

• x = 8.4

• None of these match my answer

Tags

CCSS.6.EE.B.7