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Grade 8 Review Quiz — Easy Version 1
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: Dividing in Scientific Notation
Divide the number parts and subtract the exponents: (8 × 107) ÷ (2 × 103) = 4 × 104. If the number part comes out less than 1, move the decimal point one place right and subtract 1 from the exponent: (1.2 × 107) ÷ (3 × 102) = 0.4 × 105 = 4 × 104.
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(8 × 106) ÷ (2 × 104) = ___
✓ 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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A cylinder and a cone have the same radius and the same height. The cylinder holds 216 cubic cm. How much does the cone hold, in cubic cm?
✓ 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: 7.8 × 109 or 1.7 × 109?
✓ 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: Triangle Angle Sum & Exterior Angles
The three angles of a triangle add up to 180°, so a missing angle is 180° minus the other two. An exterior angle equals the sum of the two remote (non-adjacent) interior angles, and it forms a straight line (180°) with the interior angle next to it.
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Two angles of a triangle measure 78° and 26°. Find the third angle.
✓ 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: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
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7773 = 7
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✓ Correct!
Not quite. The answer is
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
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A line has slope -2 and y-intercept 3. Write its equation.
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✓ Correct!
Not quite. The answer is
💡 How to solve: Congruence & Similarity with Transformations
Translations slide, reflections flip over a line, and rotations turn a figure about a point — all three keep the same size and shape, so the image is congruent. A dilation changes the size but not the shape, so the image is similar. Follow a sequence of transformations one step at a time.
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Which single transformation maps triangle A onto triangle B: translation, reflection, rotation, or dilation?
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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 PQR 2 units left and 3 units up. What are the coordinates of Q′?
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✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Points & Linear Relationships
For quadrants, check the signs: (+, +) is I, (-, +) is II, (-, -) is III, and (+, -) is IV. For an equation like y = mx + b, substitute the given x-value, multiply by m, then add b.
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Which quadrant is point P(10, 2) in? (I, II, III or IV)
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✓ Correct!
Not quite. The answer is
💡 How to solve: One, No, or Infinitely Many Solutions
Simplify both sides to the form ax + b. If the x-coefficients are different, there is one solution. If the x-coefficients match but the constants differ (like 7 = 3), there is no solution. If both sides are exactly the same, every x works: infinitely many solutions.
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3x - 11 = -11 + 3x
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✓ Correct!
Not quite. The answer is
💡 How to solve: Reflections on the Coordinate Plane
A reflection flips a figure over a line, so each image point is the same distance from the line as the original, on the other side. Across the x-axis: (x, y) → (x, −y). Across the y-axis: (x, y) → (−x, y). Across y = x: swap the coordinates, (x, y) → (y, x). Across y = −x: swap and change both signs, (x, y) → (−y, −x). Across a line like x = 2, count how far each point is from the line and go the same distance past it.
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Reflect quadrilateral EFGH across the x-axis. What are the coordinates of G′?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| -2x - 3y = 0 | |
| -6x + 3y = 24 |
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Elimination
Line up the equations. If a variable has opposite coefficients, add the equations; if it has equal coefficients, subtract. If neither, multiply one or both equations first so the coefficients match. Solve for the remaining variable, then substitute back to find the other one.
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Solve the system.
| 6x - 6y = -30 | |
| 4x + 6y = -10 |
✓ 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: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
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(2 × 103) × (2 × 104) = ___
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✓ Correct!
Not quite. The answer is
💡 How to solve: Simplifying Expressions
Combine like terms: add or subtract the x-terms together and the constant numbers together. Write the answer with the x-term first, like 5x + 3.
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Simplify: 2x + 3x
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✓ Correct!
Not quite. The answer is
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
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Find the distance between A(-8, 10) and B(0, 16).
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✓ Correct!
Not quite. The answer is
💡 How to solve: Equations with Variables on Both Sides
Distribute and combine like terms on each side first. Then move the x-terms to one side and the numbers to the other by adding or subtracting the same thing on both sides, and divide by the coefficient of x. Check by substituting your answer into the original equation.
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3x - 4 = 4x + 1
✓ 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 1
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.