The grocery store is having a sale on sour patch kids. Each giant bag of sour patch is $1.20 (you lose that much when you buy, wink). You have 30 dollars to spend. Write an equation that represents the number of sour patch, x, that you can buy

y = − 1.20 x + 30 y=-1.20x+30 y = − 1 . 2 0 x + 3 0

y = 1.20 x + 30 y=1.20x+30 y = 1 . 2 0 x + 3 0

y = − 30 x + 1.20 y=-30x+1.20 y = − 3 0 x + 1 . 2 0

y = 30 x + 1.20 y=30x+1.20 y = 3 0 x + 1 . 2 0

You are a part of a charity that will pay 12 dollars for every mile that you run in a race. You already had 28 dollars. Write an equation that represents y, how much total money you raised for x miles

y = 12 x + 28 y=12x+28 y = 1 2 x + 2 8

y = − 12 x + 28 y=-12x+28 y = − 1 2 x + 2 8

y = 28 x + 12 y=28x+12 y = 2 8 x + 1 2

y = − 28 x + 12 y=-28x+12 y = − 2 8 x + 1 2

You are buying baby food. The store sells the baby food for $1.25 every pouch-thingy. Write an equation that represents the total cost y of x pouches.

y = 1.25 x + 0 y=1.25x+0 y = 1 . 2 5 x + 0

y = 1.25 x + 1.25 y=1.25x+1.25 y = 1 . 2 5 x + 1 . 2 5

y = − 1.25 x y=-1.25x y = − 1 . 2 5 x

y = − 1.25 x − 1.25 y=-1.25x\ -1.25 y = − 1 . 2 5 x − 1 . 2 5

You are buying apples and oranges from the store. The store sells apples for $1.15 each and oranges for $2 each. You bought 5 oranges and x apples. Write an equation that represents y the total cost.

y = 1.15 x + 10 y=1.15x+10 y = 1 . 1 5 x + 1 0

y = 1.15 x + 20 y=1.15x+20 y = 1 . 1 5 x + 2 0

y = 10 x + 1.15 y=10x+1.15 y = 1 0 x + 1 . 1 5

y = 5 x + 1.15 y=5x+1.15 y = 5 x + 1 . 1 5

You make your own jars of apple jam and peach jam to sell. The apple jam costs $3.50 each and the peach jam costs $2 each. You sell 15 jars of peach jam. How much did you make total?

y = 3.50 x + 30 y=3.50x\ +30 y = 3 . 5 0 x + 3 0

y = 2 x + 3.50 y=2x+3.50 y = 2 x + 3 . 5 0

y = 30 x + 3.50 y=30x+3.50 y = 3 0 x + 3 . 5 0

y = 3.50 x + 2 x y=3.50x+2x y = 3 . 5 0 x + 2 x

Creating Equations from Word Problems

Authored by Eric Sweeney

Mathematics

8th Grade

CCSS covered

Used 6+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jacob collects hats. He has 6 hats already, and he collects 2 hats a week.

y = 2x + 6

y = 6x + 2

y = 2x - 6

y = 6x - 2

Tags

CCSS.6.EE.C.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.

y = x(35 + 0.75)

y = 35x + 0.75

y = 0.75x + 35

y = 0.75(x + 35)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A plant is 5cm tall and growing at a rate of 3cm a month.

y = 5 + 3

y = 5x + 3

y = 3x + 5

y = 3x + 5x

Tags

CCSS.6.EE.C.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Bob has $150 in his savings account and saves $40 per month.

y = 150 + 40

y = 40x + 150

y = 150x + 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

y = 8.5 + 25.5

y = 8.5x + 25.5

y = 8.5 + 25.5x

y = 8.5x + 25.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A man is climbing down from 100 feet high descending 30 feet per minute.

y = 100 - 30x

y = 100 + 30x

y = 100x + 30

y = 100x - 30

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An internet company charges a $100 set up fee, and then they charge $35 a month after that. What is the initial value?

$100

$35

$135

$65

Tags

CCSS.HSF.LE.B.5

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Creating Equations from Word Problems

Jacob collects hats. He has 6 hats already, and he collects 2 hats a week.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.

A plant is 5cm tall and growing at a rate of 3cm a month.

Bob has $150 in his savings account and saves $40 per month.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

A man is climbing down from 100 feet high descending 30 feet per minute.

An internet company charges a $100 set up fee, and then they charge $35 a month after that. What is the initial value?

Daniel is paid $10 per week for selling newspaper subscriptions. He is also paid $3.50 for each new customer (x) that signs up for the subscription. Which equation represents the amount (y) Daniel earns per week?

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

Write the equation for the graph:

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