Grade 7 · Math

7th grade Steady change that starts above zero worksheet

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Steady change that starts above zero

Grade 7 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Read this first
Use the table
weeks cm
2 10
5 19
8 28
Esme measures a plant (it leans toward the window). How tall was the plant at the start, at 0 weeks?
Snow falls on Jun's street (the snowman shivers). How many inches of snow were on the ground at the start, at 0 hours?
Kira lets out string for a kite (it tugs). How many meters of string were out at the start, at 0 minutes?
Luz reads an adventure book (the bookmark is tired). How many pages had Luz read at the start, at 0 hours?
Pia stacks books on a tray (the top one wobbles). How many cm does each book add?
Tala lets out string for a kite (it tugs). 6 meters of string are out and 4 more meters go out each minute. How many meters of string are out after 6 minutes?
Zee knits a scarf (the yarn ball rolls away). The scarf is 15 cm long and grows 7 cm each hour. How long is the scarf after 4 hours?
Use the table
hours cm
1 10
2 18
3 26
8.
Bo knits a scarf (the yarn ball rolls away). Which rule gives y (x in hours and y in cm)?
- y = 10x
- y = 8x + 2
- y = 8x
- y = 2x + 8
9.
Snow falls on Esme's street (the snowman shivers). Which rule gives y (x in hours and y in inches)?
- y = 13x
- y = 3x
- y = 3x + 10
- y = 10x + 3
Jun plays a quiz game (the buzzer is loud). How many points does Jun earn each round?

weeks	cm
2	10
5	19
8	28

hours	cm
1	10
2	18
3	26

7th grade Steady change that starts above zero worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Steady change that starts above zero. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the start (y when x is 0) and the change for each 1 more x from a table, a graph, a rule like y = 3x + 6, or a story.
I can use or write the rule y = (change) x + (start), and tell which number is which.
I can work backward: after how many weeks does it reach 33 cm?

Standard: state-only (CCSS 8.EE.B.6, 8.F.B.4)

Words to know

start: The amount when x is 0, before anything is added.

change for 1: How much y grows for each 1 more x. Schools call it the rate or slope.

rule (equation): A way to get y from x, like y = 3x + 6.

steady change: The same amount is added every time.

row: One pair in a table, like 2 weeks and 12 cm.

Common mistakes

Your child found what the growing adds up to but left out the amount there at the start.

Your child added the start and the change first and then multiplied the sum by x.

Your child divided y by x as if the count started at 0.

What to say

Ask: what is there before anything is added?

Ask: which of the two numbers is added again at every step, and which is only there once?

Ask: was there already some at the start? How much of the total came from the growing?

Questions parents ask

What is the most common mistake with steady change that starts above zero?

Your child found what the growing adds up to but left out the amount there at the start.

How can I help my child with steady change that starts above zero?

Ask: what is there before anything is added?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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