Algebra Review Solving with Variables on Both Sides

3x + 10 + 2x = 2 (x + 8)

Label the two steps in the appropriate spots where they took place.

a

b

Combine like terms

Distributive property

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

• 2

• 36

• 5

• 42

Solve the equation for the variable

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 1 hour

• 2 hours

• 3 hours

• 4 hours

Solve the following equation for g.

Tags

CCSS.7.EE.B.4A

Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month. The equation that represents this scenario is 60 + 50.45x = 57.95x

• True.

• False.

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

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

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