Solving Equations

Front

What is an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 7x + 19 = -2x + 55?

Back

The first step is to combine like terms by adding 2x to both sides and subtracting 19 from both sides.

Front

Solve: 7x + 19 = -2x + 55

Back

x = 4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you apply the distributive property to the equation 6(5x - 3) + 2 = 14?

Back

Distribute 6 to both terms inside the parentheses: 30x - 18 + 2 = 14.

Front

Solve: 6(5x - 3) + 2 = 14

Back

x = 1

Front

What is a variable in an equation?

Back

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

Front

What does it mean to isolate the variable?

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve: 3(x - 2) = 18

Back

x = 8