8th grade Math practice sheet
Alabama Course of Study · from Gradelings · Name: ______________________
Question 1
What is 12²?
answer box
144
Hint: 12² means 12 × 12 = 144.
Question 2
Solve for x: 6x − 13 = −43
answer box
-5
Hint: Undo the subtraction first: 6x = -43 + 13 = -30. Then divide by 6: x = -5.
Question 3
A right triangle has legs of 20 cm and 21 cm. How long is the hypotenuse?
answer boxcm
29 cm
Hint: c² = a² + b² = 400 + 441 = 841, so c = √841 = 29 cm.
Question 4
A box is 2 cm long, 6 cm wide and 10 cm tall. What is its surface area?
answer boxcm²
184 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (2×6 + 2×10 + 6×10) = 2 × 92 = 184 cm².
Question 5
Which number is equal to 9.5 × 10⁻⁴?
- 95,000
- 0.0095
- 0.000095
- 0.00095
0.00095
Hint: A negative exponent makes a number smaller than 1. Move the decimal point that many places to the left.
Question 6
Which graph is best for comparing the number of students in each club?
- a bar graph
- a circle graph with no percents
- a line graph
- a scatter plot
a bar graph
Hint: A bar graph compares amounts for separate categories.
Question 7
Point A(−6, 4) is translated 3 units left and 1 unit up. What are the coordinates of A′?
- (−5, 1)
- (−9, 3)
- (−3, 5)
- (−9, 5)
(−9, 5)
Hint: Right and up add to the coordinates. Left and down subtract: x changes for left and right, y changes for up and down.
Question 8
What is the measure of each interior angle of a regular polygon with 5 sides?
answer box°
108 °
Hint: Find the sum, 540°, then divide by 5.
Question 9
Which ordered pair is on the graph of y = 2x + 5?
- (1, 7)
- (1, 6)
- (1, 2)
- (1, 8)
(1, 7)
Hint: Substitute x = 1: 2 × 1 + 5 = 7.
Question 10
Solve for x: 5(x + 2) = -5
answer box
-3
Hint: Divide both sides by 5: x + 2 = -1. Then subtract 2: x = -3. Check: 5(-3 + 2) = -5.
Answer key
- 1. 144 (Squares, Cubes & Roots)
- 2. -5 (Patterns & Two-Step Equations)
- 3. 29 cm (Pythagorean Theorem)
- 4. 184 cm² (Surface Area & Volume)
- 5. 0.00095 (Big, Small & Real Numbers)
- 6. a bar graph (Scatter Plots & Stories)
- 7. (−9, 5) (Tessellations & Transformations)
- 8. 108 ° (Angle Detective)
- 9. (1, 7) (Tables, Graphs & Linear Relations)
- 10. -3 (Equations with Brackets)
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