Solving 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 operation, such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation 3 + 5x + 8 - 2x = 0?

Back

First, simplify the expression to get 11 + 3x = 0. Then, isolate x by subtracting 11 from both sides and dividing by 3.

Front

What is the solution to the equation 144 = 12z?

Back

To solve for z, divide both sides by 12, resulting in z = 12.

Front

How do you represent a situation with an equation?

Back

Translate the words into mathematical symbols. For example, 'Robyn had some video games then bought 4 more. Now she has a total of 10 games' can be represented as v + 4 = 10.

Front

What is the inverse operation of addition?

Back

Subtraction is the inverse operation of addition.

Front

What is the first step in solving a one-step equation?

Back

Identify the operation being performed on the variable and apply the inverse operation to both sides of the equation.

Front

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

Back

Isolating a variable means to manipulate 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 x + 7 = 15?

Back

To solve for x, subtract 7 from both sides, resulting in x = 8.

Front

How can 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 purpose of simplifying an expression before solving an equation?

Back

Simplifying an expression makes it easier to identify the variable and apply the correct operations to solve the equation.