Equations with Inverse Operations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction, or multiplication and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve for r: 0 + 8 - 8 + r = 45

Back

r = 45

Front

Solve for x: 8 + 2 + x = 18

Back

x = 8

Front

Solve for y: y + 18 - 7 = 14

Back

y = 3

Front

Solve for b: b + 15 + 10 = 100

Back

b = 75

Front

Solve for h: h + 20 + 14 = 60

Back

h = 26

Front

What is the first step to solve the equation 5 + x = 12?

Back

Subtract 5 from both sides to isolate x.

Front

What is the solution to the equation 3x = 12?

Back

x = 4 (divide both sides by 3).