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 5 - 2(x - 7) = x + 1 + 3x?

Back

You cannot perform 5 - 2 first; you should distribute -2 to (x - 7) first.

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides.

Front

Solve the equation: 2(4x - 3) - 8 = 4 + 2x.

Back

x = 3.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

What does it mean to combine like terms?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

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

Front

Solve for x: 8v - 4(v + 8) = 8.

Back

v = 10.

Front

What is the purpose of isolating the variable in an equation?

Back

To solve for the variable by getting it alone on one side of the equation.

Front

What is the solution to the equation 3x + 5 = 20?

Back

x = 5.