8th Grade Math Quiz
Questions: 16 · 10 minutes
1. What is the solution to the system y = x + 1 and y = -x + 7?
(2, 5)
(4, 3)
(3, 4)
(4, 4)
2. Which relation represents a function?
{(1, 2), (1, 3), (2, 4)}
{(0, 1), (0, 2), (0, 3)}
{(2, 5), (3, 6), (2, 7)}
{(-1, 0), (0, 0), (1, 2)}
3. A function is defined by y = -2x + 5. What is the value of y when x = 4?
Negative thirteen (-13)
Negative three (-3)
Positive three (3)
Positive thirteen (13)
4. A 10-foot ladder leans against a wall. Its base is 6 feet from the wall, forming a right triangle. How high up the wall does the ladder reach?
4 feet
6 feet
8 feet
√136 feet
5. A scatter plot comparing weekly study time with test scores shows an upward trend. Which conclusion is best supported?
Students who studied more tended to earn higher scores, but the plot alone does not prove causation.
Higher test scores cause students to study for more hours.
Every additional hour of study guarantees the same score increase.
There is no relationship because the points do not form a perfectly straight line.
6. A taxi ride costs a $4 starting fee plus $2.50 per mile. If the total fare is $19, how many miles was the ride?
10 miles
7.6 miles
9.2 miles
6 miles
7. At the same time of day, a 1.5-meter-tall person casts a 2-meter shadow. A nearby tree casts an 8-meter shadow. Assuming proportional heights and shadows, how tall is the tree?
4.5 meters
5⅓ meters
8 meters
6 meters
8. Solve 4(2x - 3) = 20.
x = 1
x = 16
x = 5½
x = 4
9. What is (3 × 10⁵)(2 × 10⁻³) written in scientific notation?
6 × 10², which equals 600
5 × 10², which equals 500
6 × 10⁻², which equals 0.06
6 × 10⁸, which equals 600,000,000
10. A jacket originally costs $80 and is discounted by 15%. What is the sale price before tax?
$72
$65
$68
$92
11. Simplify (2³)⁴ ÷ 2⁵.
2², or 4
2⁷, or 128
2¹², or 4,096
2¹⁷, or 131,072
12. Solve the equation 3x - 7 = 20.
x = 7
x = 9
x = 11
x = 4⅓
13. A line passes through the points (2, 3) and (6, 11). What is its slope?
1/2
2
4
8
14. A cylinder has a radius of 3 centimeters and a height of 4 centimeters. What is its exact volume?
12π cubic centimeters
24π cubic centimeters
36π cubic centimeters
48π cubic centimeters
15. Between which two consecutive whole numbers does √50 lie?
Between 7 and 8
Exactly at 7
Between 6 and 7
Between 8 and 9
16. Point (-2, 5) is reflected across the y-axis. What are the coordinates of its image?
Positive 2 for x and positive 5 for y: (2, 5)
Positive 5 for x and negative 2 for y: (5, -2)
Negative 2 for x and negative 5 for y: (-2, -5)
Positive 2 for x and negative 5 for y: (2, -5)