Solve Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve the equation: -18 - 6k = 6(1 + 3k)

Back

k = -1

Front

Solve the equation: 4x + 7 - 6x = 5 - 4x + 4

Back

x = 1

Front

What is the Associative Property?

Back

A property that states that the way numbers are grouped in addition or multiplication does not change their sum or product.

Front

Write the equation for: Eight less than three times a number is equivalent to thirty four.

Back

3x - 8 = 34

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 the equation: 2(x + 3) = 14

Back

x = 4

Front

What is a coefficient in an algebraic expression?

Back

A numerical factor that multiplies a variable, such as in 5x, where 5 is the coefficient.

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.