Writing and 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 step, typically by performing the same operation on both sides of the equation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations on both sides of the equation to get the variable by itself. For example, if the equation is x + 5 = 10, you would subtract 5 from both sides.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 35 + x = 47?

Back

The first step is to subtract 35 from both sides of the equation to isolate x.

Front

What is the equation that represents the total earnings of Cheryl who earns $8 per hour and made $96 last week?

Back

The equation is 8h = 96, where h represents the number of hours worked.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How can you represent a situation where Ted bought a poster for $12 and has $5 left?

Back

The situation can be represented by the equation m - 12 = 5, where m is the amount of money Ted had before buying the poster.

Front

What is the solution to the equation 3/2 = -4x?

Back

To solve for x, you would divide both sides by -4, resulting in x = -3/8.