Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

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

Back

Combine like terms by adding 2x to both sides and subtracting 19 from both sides.

Front

Solve the equation: 7x + 19 = -2x + 55.

Back

x = 4.

Front

What does it mean to isolate the variable in an equation?

Back

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

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

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

Back

x = -6.

Front

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

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

Solve the equation: 4 - 2(x - 3) = 24.

Back

x = -7.

Front

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

Back

Distribute -4 to a and -5.

Front

Solve the equation: 2 + 5x + 2x = -12.

Back

x = -2.