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

Front

What does it mean to combine like terms?

Back

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

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Front

Solve for y: 3y - 5 = 16

Back

y = 7

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2(length + width).

Front

Solve for v: -6(2v + 4) = -8(v - 4)

Back

v = -14

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true, often resulting in a contradiction.

Front

Solve for y: 6y - 9 = 12y + 27

Back

y = -6

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated as A = length × width.