Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 2x + 3 = 7?

Back

Subtract 3 from both sides to isolate the term with x.

Front

Solve: 2(2x + 3) = -6(x + 9)

Back

x = -6

Front

What does it mean to distribute in an equation?

Back

To multiply each term inside a parenthesis by the term outside the parenthesis.

Front

Solve: 8v - 4(v + 8) = 8

Back

v = 10

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

Solve: 0.75 + 2(a - 0.5) = 3a - 0.4

Back

a = 0.15

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by each term inside a parenthesis.

Front

Solve: -15 = 5a + 12 - 2a + 6

Back

a = -11

Front

What is the last step in solving an equation?

Back

To isolate the variable on one side of the equation.