Real-World Equations Remediation

Real-World Equations

Remember...an equation is a statement that two expressions are equal.

4 + 2 = 10 - 4

6 = 6

Write an equation that means the

same as:

the sum of a number and 3 is forty

the sum of a number and 3 is forty

​

​sum means ADD

​is means EQUAL TO

​

​x + 3 = 40

Multiple Choice

Which is equivalent to

the sum of a number and ten is fifty

• 50 - y = 10

• y - 10 = 50

• y + 10 = 50

Multiple Choice

Which is equivalent to

the product of five and a number is twenty

• 5x

• 5x = 20

• 5 + x = 20

• 5x - 20

Sally paid $6.50 for 2 lunches.

Write an equation to show how much

each lunch cost.

Sally paid $6.50 for 2 lunches.

Write an equation to show how much

each lunch cost.

​Ask yourself:

What is the total?

How much is each?

How many did they get?

Sally paid $6.50 for 2 lunches.

Write an equation to show how much

each lunch cost.

​Ask yourself:

What is the total?

How much is each?

How many did they get?

​The MISSING information is what the VARIABLE will represent.

Sally paid $6.50 for 2 lunches.

Write an equation to show how much

each lunch cost.

​

The total cost was $6.50

​The variable represents the cost of each lunch.

Sally paid $6.50 for 2 lunches.

Write an equation to show how much

each lunch cost.

We know the total: The total cost was $6.50

We know how many: She bought 2.

We don't know how much each cost.

The variable represents the cost of each lunch.

​2x = 6.50

A soda costs $2.35. Sam spent $15.00 on sodas. Write an equation to show how many sodas Sam bought.

-​We know the TOTAL cost: $15

We know the cost of each. $2.35

-​What does the variable represent? how many Sam bought

A soda costs $2.35. Sam spent $15.00 on sodas. Write an equation to show how many sodas Sam bought.

​

-​What is the TOTAL cost? $15

-Each cost 2.35

-​What does the variable represent? how many Sam bought

​

​2.35x = 15

Multiple Choice

Frank bought 15 pens. He paid $60. Which shows how much each pen cost?

• 60p = 15

• 15p = 60

• 60 - 15 = p

Multiple Choice

Matt put $40 of gas in his truck. Each gallon cost $1.95. Which can find the number of gallons Matt got?

• 40 = 1.95g

• 40g = 1.95

• 1.95 + g = 40

Multiple Choice

Ms. Teacher put $16 into her lunch account. This will pay for 7 lunches. Which can find how much each lunch costs?

• 16 - y = 7

• 7y = 16

• 7 + y = 16

Multiple Choice

Solve ¹/₂ x = 50

• 25

• 100

• 125

Fill in the Blank

Blast from the past: Find the GCF of 12 and 36

Remember:

Ask yourself:

What is the total?

How much is each?

How many did they get?

​The MISSING information is what the VARIABLE will represent.

Remember:

Ask yourself:

What is the total?

How much is each?

How many did they get?

​The MISSING information is what the VARIABLE will represent.

​When you are finished, ask yourself if your answer makes sense??