One Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

How do you solve the equation 3x = 27?

Back

Divide both sides by 3: x = 27 / 3, so x = 9.

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

Which equation models the situation: Marcus needs to sell 25 tickets and has sold 9?

Back

t + 9 = 25.

Front

What is the first step to solve the equation x + 5 = 12?

Back

Subtract 5 from both sides: x = 12 - 5.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What is the solution to the equation 4b = 44?

Back

Divide both sides by 4: b = 44 / 4, so b = 11.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown quantities that we want to solve for in mathematical problems.

Front

How do you solve the equation 2x - 6 = 10?

Back

Add 6 to both sides: 2x = 16, then divide by 2: x = 8.