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 - Challenge Me

NameDate

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

Milo stacks books on a tray (the top one wobbles). How tall is the tray alone, with 0 books?
Snow falls on Noah's street (the snowman shivers). How many inches of snow were on the ground at the start, at 0 hours?
Ren tracks a plant's height. After 2 weeks: 17 cm. After 5 weeks: 26 cm. It changes equally each week. What rule gives y (x in weeks and y in cm)?
Zee tracks the quiz score. After 2 rounds: 16 points. After 5 rounds: 34 points. It changes equally each round. What rule gives y (x rounds and y points)?
5.
Esme fills a bucket from a circle (it drips). Rule: y = 3x + 5, with x in minutes and y in liters. What does the 3 mean?
- The amount of water after 3 minutes.
- How much the water grows each minute.
- The number of minutes.
- The amount of water at the start, when x is 0.
Jun measures a plant (it leans toward the window). Rule: y = 3x + 9, with x in weeks and y in cm. After how many weeks is the plant 33 cm tall?
Kira stacks books on a tray (the top one wobbles). Rule: y = 4x + 8, with x books and y in cm. How many books make the stack 44 cm tall?
8.
Noah tracks the distance from home. After 2 hours: 23 miles. After 5 hours: 50 miles. It changes equally each hour. Which rule gives y (x in hours and y in miles from home)?
- y = 5x + 9
- y = 9x
- y = 14x
- y = 9x + 5
9.
Pia measures the kite string out. After 2 minutes: 17 meters. After 5 minutes: 38 meters. It changes equally each minute. Which rule gives y (x in minutes and y in meters of string)?
- y = 3x + 7
- y = 7x + 3
- y = 7x
- y = 10x
10.
Ren counts the pages read. After 2 hours: 55 pages. After 5 hours: 115 pages. It changes equally each hour. Which rule gives y (x in hours and y pages read)?
- y = 20x + 15
- y = 15x + 20
- y = 35x
- y = 20x

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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