GMAS Multi-step Equations - Review (Unit 1/1)

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 combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when the variable terms on each side are the same, but the constant terms are different, indicating a contradiction.

Front

Solve the equation: -11 + 3(b + 5) = 7

Back

b = 1

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as the number 9 in the equation -3(4x - 6) + 2x = -7x + 9.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable, such as -7 in the term -7x.

Front

Solve the equation: 2x + 1 = 2x - 1

Back

No Solution

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 each term inside a parenthesis.

Front

Solve the equation: 32 - 7x = -6(x + 3)

Back

x = -3, but the solution is 50 when simplified correctly.

Front

What does it mean for an equation to have infinitely many solutions?

Back

An equation has infinitely many solutions when the variable terms and constant terms on both sides are identical, meaning any value for the variable will satisfy the equation.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms and using the distributive property.