Equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that has variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you solve an equation with variables on both sides?

Back

1. Move all variable terms to one side of the equation. 2. Move constant terms to the other side. 3. Simplify and solve for the variable.

Front

What is the first step in solving the equation 2x + 3 = x - 4?

Back

Subtract x from both sides to get x + 3 = -4.

Front

What does it mean for two expressions to be equal?

Back

It means that the values of the expressions are the same for the same input.

Tags

CCSS.6.EE.A.4

Front

If Company A charges $7.25 for shipping and $0.20 per pound, how would you express the total cost for p pounds?

Back

Total cost = 7.25 + 0.20p.

Tags

CCSS.HSF.LE.B.5

Front

If Company B charges $5.15 for shipping and $0.30 per pound, how would you express the total cost for p pounds?

Back

Total cost = 5.15 + 0.30p.

Tags

CCSS.HSF.LE.B.5

Front

How do you find the point where two companies' shipping costs are equal?

Back

Set the two cost equations equal to each other and solve for p.

Tags

CCSS.8.EE.C.8C

Front

What is the solution to the equation 2x + 3 = x - 4?

Back

x = -7.

Front

What is the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Tags

CCSS.4.MD.A.3

Front

What is the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3