Adding and subtracting Equations

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 does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself, making it easier to solve.

Front

Solve for x: 3 + x = 7

Back

x = 4

Front

Solve for y: y - 10 = 15

Back

y = 25

Front

What is the first step in solving the equation x + 5 = 12?

Back

Subtract 5 from both sides to isolate x.

Front

Solve for x: x - 8 = 2

Back

x = 10

Front

What is the solution to the equation 2x = 10?

Back

x = 5

Front

Solve for y: 4y + 8 = 24

Back

y = 4

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations in order to isolate the variable.

Front

Solve for x: 5x - 15 = 0

Back

x = 3