Solving Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains 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. Combine like terms. 4. Isolate the variable.

Front

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side, making it easy to determine its value.

Front

Solve the equation: 7x = 4x + 33

Back

x = 11

Front

What is a constant in an equation?

Back

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

Front

Solve the equation: 12x - 15 = 3(2x + 3)

Back

x = 4

Front

What is the distributive property?

Back

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

Front

Solve the equation: 8w - 8 = -4w + 16

Back

w = 2

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.