Multistep Equations

Front

What is a multistep equation?

Back

A multistep 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 to solve the equation -3 = x + 5?

Back

Subtract 5 from both sides.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

Solve for z in the equation z - 33 = 147.

Back

z = 180

Front

What is the solution to the equation y/3 = 12?

Back

y = 36

Front

Solve for x: 4 - 2(x - 3) = 24

Back

x = -7

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

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

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.