Solving 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 solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the goal when solving algebraic equations?

Back

To isolate the variable (get the variable by itself).

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

Solve for p: 12p = 72

Back

p = 6

Front

Solve for k: k/4 = 8

Back

k = 32

Front

Solve for w: 4.5w = 22.5

Back

w = 5

Front

Solve for y: y/3.75 = 10

Back

y = 37.5