Solving Multi-step Equations & Solutions to Linear 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 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

What does it mean if an equation has 'one solution'?

Back

An equation has 'one solution' when there is exactly one value that satisfies the equation.

Front

What does it mean if an equation has 'infinite solutions'?

Back

An equation has 'infinite solutions' when any value can satisfy the equation, often resulting in a true statement for all values.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is the first step in solving the equation 14 - 2(3p + 1) = 6(4 + p)?

Back

Distribute the -2 to both terms inside the parentheses.

Front

Solve for p: -3(x + 6) = -3(2x + 4)

Back

x = -2 (after simplifying both sides and isolating x).

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1 (combine like terms and isolate x).

Front

Solve for x: 3(x - 2) = 18

Back

x = 8 (distribute and isolate x).