Multi-Step Equations Test Review (A)

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

Solve for x: 2(x + 5) - 7 = 3(x - 2)

Back

x = 9

Front

What is the first step in solving the equation 2x + 3(5x - 7) = 47?

Back

Distribute the 3 to both terms inside the parentheses: 2x + 15x - 21 = 47.

Front

Solve for a: 4(2a + 3) = -3(a - 1) + 31

Back

a = 2

Front

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

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 for x: 3(x + 1) - 5 = 5x - 2

Back

x = 0

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

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

Back

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

Front

Solve for x: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 2 in 2x.