Solving Equations with variables on both sides

Front

Solve for the variable: 8 - 3a + 12 = 2a

Back

a = 4

Front

Which equation describes 'two times a number plus five equals 15'?

Back

2x + 5 = 15

Front

Write an equation for Penelope's carnival spending: $20 entry + $0.50 per ticket, total $35.

Back

0.50x + 20 = 35

Front

Solve for the variable: 22 + 2a = 37 + 6 + a

Back

a = 21

Front

If Tara's cell phone bill is $75, with $15 monthly fee and $0.20 per minute, how many minutes did she talk?

Back

300 minutes

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms on both sides.

Front

Define 'variable' in the context of an equation.

Back

A symbol (often a letter) that represents an unknown value.

Front

What does it mean to 'isolate the variable' in an equation?

Back

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

Front

What is the purpose of balancing an equation?

Back

To ensure both sides of the equation are equal after performing operations.

Front

Solve for x: 3x + 5 = 2x + 10

Back

x = 5