Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

You cannot perform 5 - 2 as the first step; you should distribute -2 to (x - 7) first.

Front

What is the error in adding 2x to 3x?

Back

The error is that it leads to incorrect simplification; the correct addition should be 2x + 3x = 5x.

Front

Solve the equation: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation, indicating that the two sides are equivalent.

Front

Solve the equation: 3(x - 8) = 3x - 24

Back

Infinite Solutions.

Front

What is the correct solution for the equation 5y + 34 = -2(-7y + 1)?

Back

y = 4.

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

What is combining like terms?

Back

The process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the purpose of isolating the variable in an equation?

Back

To solve for the variable by getting it alone on one side of the equation.