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Grade 8 Quiz: Ratios & Proportions — Easy Version 2
Grade 8 · MathSheets Name: ____________________ Date: __________
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.
How to solve
This quiz mixes questions from different lessons, like a real test. Read each question carefully: the lesson name in front tells you what kind of problem it is. Check your answers, then practise the lessons where you made mistakes.
Example
Proportional Relationships & Unit Rate: 11 pounds of apples cost $44.00 in all. What is the unit price in dollars per pound of apples?
Answer: 4
✓ Correct!
Not quite. The answer is
💡 How to solve: Rate of Change & Initial Value
The rate of change is how much y changes for each 1 unit of x: (change in y) ÷ (change in x). The initial value is the value of y when x = 0 (the starting amount or fixed fee). Together they give the linear model y = mx + b, where m is the rate of change and b is the initial value.
Try a similar one
A gym charges a $69 sign-up fee plus $38 per month. What is the rate of change of the total cost in dollars per month?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 2 | 6 |
| 4 | 12 |
| 6 | 18 |
✓ Correct!
Not quite. The answer is
💡 How to solve: Proportional Relationships & Unit Rate
A proportional relationship has the form y = kx and its graph is a straight line through the origin. The unit rate k is the slope: the y-value when x = 1, or y ÷ x for any point on the line. To compare two relationships, compare their unit rates.
Try a similar one
The graph shows how far a car drives on its fuel. What is the unit rate in miles per gallon?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Dilations & Scale Factor
A dilation about the origin with scale factor k multiplies both coordinates by k: (x, y) → (kx, ky). If k > 1 the figure gets larger; if 0 < k < 1 it gets smaller. The scale factor is image length ÷ original length, and every side length is multiplied by k.
Try a similar one
Dilate P(3, 4) by a scale factor of 2. What are the coordinates of P'?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Rate of Change & Initial Value
The rate of change is how much y changes for each 1 unit of x: (change in y) ÷ (change in x). The initial value is the value of y when x = 0 (the starting amount or fixed fee). Together they give the linear model y = mx + b, where m is the rate of change and b is the initial value.
Try a similar one
A gym charges a $73 sign-up fee plus $12 per month. What is the rate of change of the total cost in dollars per month?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Proportional Relationships & Unit Rate
A proportional relationship has the form y = kx and its graph is a straight line through the origin. The unit rate k is the slope: the y-value when x = 1, or y ÷ x for any point on the line. To compare two relationships, compare their unit rates.
Try a similar one
The graph shows how far a car drives on its fuel. What is the unit rate in miles per gallon?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Dilations & Scale Factor
A dilation about the origin with scale factor k multiplies both coordinates by k: (x, y) → (kx, ky). If k > 1 the figure gets larger; if 0 < k < 1 it gets smaller. The scale factor is image length ÷ original length, and every side length is multiplied by k.
Try a similar one
Dilate P(-1, 1) by a scale factor of 2. What are the coordinates of P'?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Rate of Change & Initial Value
The rate of change is how much y changes for each 1 unit of x: (change in y) ÷ (change in x). The initial value is the value of y when x = 0 (the starting amount or fixed fee). Together they give the linear model y = mx + b, where m is the rate of change and b is the initial value.
Try a similar one
A taxi ride costs $7 plus $5 per mile. What is the rate of change of the fare in dollars per mile?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 1 | 6 |
| 4 | 24 |
| 7 | 42 |
| 10 | 60 |
✓ Correct!
Not quite. The answer is
💡 How to solve: Proportional Relationships & Unit Rate
A proportional relationship has the form y = kx and its graph is a straight line through the origin. The unit rate k is the slope: the y-value when x = 1, or y ÷ x for any point on the line. To compare two relationships, compare their unit rates.
Try a similar one
The graph shows how far a car drives on its fuel. What is the unit rate in miles per gallon?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Dilations & Scale Factor
A dilation about the origin with scale factor k multiplies both coordinates by k: (x, y) → (kx, ky). If k > 1 the figure gets larger; if 0 < k < 1 it gets smaller. The scale factor is image length ÷ original length, and every side length is multiplied by k.
Try a similar one
Dilate P(-2, 3) by a scale factor of 2. What are the coordinates of P'?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Rate of Change & Initial Value
The rate of change is how much y changes for each 1 unit of x: (change in y) ÷ (change in x). The initial value is the value of y when x = 0 (the starting amount or fixed fee). Together they give the linear model y = mx + b, where m is the rate of change and b is the initial value.
Try a similar one
A taxi ride costs $3 plus $5 per mile. What is the rate of change of the fare in dollars per mile?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Grade 8 Quiz: Ratios & Proportions — Easy Version 2
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.