Modeling and Solving Equations with Variables on Both Sides

Front

What is the goal of solving equations with variables on both sides?

Back

Find the value of the variable.

Front

Solve for x: 7x = 3x + 24

Back

x = 6

Front

Solve for x: 2x = x + 3

Back

x = 3

Front

Solve for t: 30 + 6t = 11t

Back

t = 6

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

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

Back

To manipulate the equation so that the variable is on one side and all constants are on the other.

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable.

Front

What is a constant in an equation?

Back

A fixed value that does not change.

Front

What is the first step in solving the equation 5x + 3 = 18?

Back

Subtract 3 from both sides.

Front

What is the principle of equality in solving equations?

Back

If you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.