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Grade 8 Review Quiz — 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
Graphing Points & Linear Relationships: For y = 2x + 2, find y when x = 0.
Answer: 2
✓ Correct!
Not quite. The answer is
💡 How to solve: Repeating Decimals to Fractions
Let x equal the decimal. Multiply by 10, 100 or 1000 so the repeating part lines up (one repeating digit: 10x, two digits: 100x), subtract x to remove the repeating part, then solve and simplify. For 0.2727…: 100x - x = 27, so 99x = 27 and x = 2799 = 311.
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Write 0.55555… as a fraction in lowest terms.
✓ 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: Estimating Square Roots
Find the perfect squares on either side of the number. 49 < 50 < 64, so √49 < √50 < √64, which means √50 is between 7 and 8. It is closest to 7, because 50 is much nearer to 49 than to 64. To get the nearest tenth, square decimals: 7.0 × 7.0 = 49 and 7.1 × 7.1 = 50.41, so √50 is between 7.0 and 7.1. Check the halfway point: 7.05 × 7.05 = 49.7025 is less than 50, so √50 rounds up to 7.1.
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Between which two consecutive whole numbers does √56 lie?
✓ 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: Lines of Best Fit & Predictions
A line of best fit y = mx + b follows the trend of the data. To predict, substitute the x-value into the equation. The slope m is the predicted change in y for each 1 unit increase in x, and the y-intercept b is the predicted value when x = 0. To write the equation, pick two points on the line, find the slope, then find b.
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The line of best fit is y = -2x + 43. Predict y when x = 9.
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| Likes hiking | Dislikes hiking | Total | |
|---|---|---|---|
| Swims | 25 | 6 | 31 |
| Does not swim | 12 | 25 | 37 |
| Total | 37 | 31 | 68 |
✓ Correct!
Not quite. The answer is
💡 How to solve: Two-Way Tables & Relative Frequency
Each cell counts the people in one row category and one column category; the totals add across rows and down columns. A relative frequency is a count divided by a total: divide by the row total to compare within a row, by the column total within a column, or by the grand total for the whole survey.
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How many people were surveyed in all?
| Likes pizza best | Likes tacos best | Total | |
|---|---|---|---|
| Adults | 13 | 23 | 36 |
| Teens | 14 | 21 | 35 |
| Total | 27 | 44 | 71 |
✓ 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: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
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Which number is greater: 7.4 × 104 or 9.3 × 106?
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✓ Correct!
Not quite. The answer is
💡 How to solve: Transformations on the Coordinate Plane
Reflect over the x-axis: (x, y) → (x, -y). Reflect over the y-axis: (x, y) → (-x, y). Rotate 90° counterclockwise: (x, y) → (-y, x). Rotate 180°: (x, y) → (-x, -y). Translate: add the given amounts to x and y. Write the point as (x, y).
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Reflect point P(-2, -4) over the x-axis.
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✓ Correct!
Not quite. The answer is
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
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Is the function increasing, decreasing or constant from x = 3 to x = 4?
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✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Equations (Intro)
Use substitution: replace y in the second equation with the expression from the first equation, then solve for x. Plug x back into the first equation to find y, and write the answer as x = __, y = __.
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y = x + 1; x + y = -3
✓ 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: Writing Numbers in Scientific Notation
Move the decimal point so exactly one nonzero digit is in front of it, then count the moves. That count is the power of 10: positive for a big number, negative for a number less than 1. 45,000 = 4.5 × 104 (4 moves left), 0.00052 = 5.2 × 10-4 (4 moves right).
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Write 5,870,000 in scientific notation.
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✓ Correct!
Not quite. The answer is
💡 How to solve: Exponents & Scientific Notation (Mixed Review)
When multiplying powers with the same base, add the exponents: am × an = am+n. To write a number in scientific notation, write it as a number from 1 to 9 times a power of 10, where the exponent is the number of places the decimal point moves, for example 600 = 6 × 102.
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Simplify: 53 × 52 = 5
✓ 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: Converting Scientific Notation to Standard Form
The power of 10 tells you how far to move the decimal point. A positive power moves it right (making the number bigger): 4.5 × 104 = 45,000. A negative power moves it left (making the number smaller): 5.2 × 10-4 = 0.00052. Fill empty places with zeros.
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Write 6.7 × 107 in standard form.
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✓ Correct!
Not quite. The answer is
💡 How to solve: Solving One- & Two-Step Equations
Get x alone by undoing operations in reverse order: first add or subtract to remove the constant from the x side, then divide both sides by the number in front of x. Check by substituting your answer back in.
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5x = -50
✓ 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: Volume: Changing Radius & Height
Volume is proportional to height: double the height and the volume doubles. The radius is squared, so if the radius triples the volume becomes 3 × 3 = 9 times as large. A cone holds one third of a cylinder with the same radius and height. To find a missing height, divide the volume by πr².
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The height of a cylinder doubles and its radius stays the same. How many times as large is the new volume?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 4 |
| 1 | 8 |
| 2 | 12 |
| 3 | 16 |
| 4 | 20 |
✓ Correct!
Not quite. The answer is
💡 How to solve: Linear & Nonlinear Functions
A linear function has a constant rate of change: its graph is a straight line and its equation can be written as y = mx + b. In a table, check that y changes by the same amount every time x changes by the same amount. Squares, cubes, x in a denominator or x in an exponent make a function nonlinear.
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Is the function y = -6 linear or nonlinear?
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✓ Correct!
Not quite. The answer is
💡 How to solve: Translations on the Coordinate Plane
A translation slides every point of a figure the same distance in the same direction. Moving right adds to x and moving left subtracts; moving up adds to y and moving down subtracts. So "4 units left and 3 units up" is the rule (x, y) → (x − 4, y + 3), and A(2, 1) moves to A′(−2, 4). The image has the same size, shape and orientation as the original figure.
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Translate triangle ABC 2 units left and 3 units down. What are the coordinates of B′?
✓ 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: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
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(6 × 106) × (7 × 102)
✓ 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 Review Quiz — 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.