IXL | Solve two-step equations: word problems

Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.

Which equation can Russell use to find how many miles,

he ran each day after school?

(

)

(

)

How many miles did Russell run each day after school?

Write your answer as a whole number or a simplified fraction.

miles

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Learn with an example

question

Bert made 3 batches of his uncle's signature spicy wing sauce for a barbecue last weekend. He didn't want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of hot sauce he put in each batch by 2 ounces. Bert used 24 ounces of hot sauce in all to make the wing sauce.

Which equation can you use to find

the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce?

(

–

)

–

(

–

)

How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?

Write your answer as a whole number or a simplified fraction.

ounces

solution

Read the problem.

Which equation can you use to find

the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce?

Bert's uncle usually puts

ounces of hot sauce in each batch. Bert reduced the amount of hot sauce by 2 ounces in each of his batches. So, the amount of hot sauce in each batch was

–

ounces. He made 3 batches and used 24 ounces of hot sauce in all. This equation represents the situation.

3	( u − 2 )	=	24

number of batches	amount of hot sauce in each batch		total amount of hot sauce

The equation

(

–

)

can be used to find how much hot sauce Bert's uncle usually puts in each batch. Solve the equation for

(

–

)

–

Divide both sides by 3

Add 2 to both sides

Bert's uncle usually puts 10 ounces of hot sauce in each batch of spicy wing sauce.

Looking for more? Try these:

Lesson: Solving equations

Lesson: Writing algebraic expressions

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Teacher tools

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Not feeling ready yet? These can help:

T.12Choose two-step equations: word problems

T.10Solve two-step equations

AA.17Solve one-step equations: word problems

Lesson: Solving equations

Lesson: Writing algebraic expressions

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