Solving One and Two-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 operation, such as addition, subtraction, multiplication, or division.

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve, typically involving both addition or subtraction and multiplication or division.

Front

How do you solve the equation x - 8 = -5?

Back

To solve x - 8 = -5, add 8 to both sides to get x = 3.

Front

What is the first step to solve the equation 6b = 30?

Back

The first step is to divide both sides by 6 to isolate b, resulting in b = 5.

Front

How do you find the total number of students in multiple classes?

Back

Multiply the number of classes by the number of students in each class.

Front

If Lisa finished a race in 58 seconds, and this was 4 seconds faster than her best practice time, how do you find her best practice time?

Back

Add 4 seconds to her race time: 58 seconds + 4 seconds = 62 seconds.

Front

What operation do you perform to both sides of the equation 5x = 55 to solve for x?

Back

Divide both sides by 5.

Front

What is the importance of balancing equations when solving for a variable?

Back

Balancing equations ensures that both sides remain equal after performing operations, which is essential for finding the correct value of the variable.

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 opposite side.

Front

What is the solution to the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.