Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

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

Back

1. Simplify both sides if necessary. 2. Move all terms containing the variable to one side and constant terms to the other. 3. Isolate the variable.

Front

Solve for x: 4(1-x) + 3x = -2(x+1)

Back

x = -6

Front

Solve for y: 5y + 34 = -2(-7y+1)

Back

y = 4

Tags

CCSS.8.EE.C.7B

Front

Solve for x: 2(4x-3) - 8 = 4 + 2x

Back

x = 3

Front

Solve for w: 7w + 5 = 3w - 15

Back

w = -5

Front

Solve for w: 8w - 8 = -4w + 16

Back

w = 2

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is alone on one side of the equation.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to simplify expressions.

Tags

CCSS.6.EE.A.3

Front

What is a constant in an equation?

Back

A fixed value that does not change, represented by a number.

Tags

CCSS.6.EE.A.2B