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 3x - x + 2 = 4(2x - 1)?

Back

The first step is to simplify both sides of the equation.

Front

Solve the equation: 3x - x + 2 = 4(2x - 1)

Back

x = 1

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

Front

Solve the equation: 4x + 10 = -26

Back

x = -9

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

Back

Distribute -4 to a and -5.

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

What is an identity in equations?

Back

An identity is an equation that is true for all values of the variable, such as 2x + 3 = 2x + 3.

Front

Which equation has no solution: 2x + 1 = 5x - 3 or 3(2x + 1) = 6x + 1?

Back

3(2x + 1) = 6x + 1 has no solution.