One-Step Equation Word Problems

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 represent a word problem as an equation?

Back

Identify the quantities involved, assign variables, and translate the relationships described in the problem into a mathematical equation.

Front

If a roll of tape costs $1.15, how do you find out how many rolls you can buy with $5.75?

Back

Set up the equation 1.15x = 5.75, where x is the number of rolls.

Front

What does the equation 2 + x = 7 represent?

Back

It represents a situation where 2 cups of sugar have already been added, and x is the amount needed to reach a total of 7 cups.

Front

How do you calculate the total cost of multiple items?

Back

Multiply the cost of one item by the number of items. For example, if each pair of socks costs $2.50 and you buy 6 pairs, the equation is 2.50(6) = x.

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 can you express the total amount of money received in an equation?

Back

If you start with a certain amount and receive more, you can express it as initial amount + x = total amount.

Front

What does the equation 4x = 4.32 mean in a word problem?

Back

It means that the total cost of 4 rolls of tape is $4.32, and x represents the cost of one roll.

Front

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

Back

Isolate the variable by performing the inverse operation on both sides of the equation.

Front

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

Back

Substitute the value of the variable back into the original equation to see if both sides are equal.