Free Grade 8 STAAR Math Worksheets

√10 is between which pair of integers?

1. 2 and 3
2. 9 and 16
3. 4 and 5
4. 3 and 4 ✓

Why: 3² = 9 and 4² = 16. Since 9 < 10 < 16, √10 is between 3 and 4.

Estimate √80. It lies between which two integers?

1. 7 and 8
2. 9 and 10
3. 8 and 9 ✓
4. 64 and 81

Why: 8² = 64 and 9² = 81. Since 64 < 80 < 81, √80 is between 8 and 9.

√112 is between which pair of integers?

1. 100 and 121
2. 9 and 10
3. 10 and 11 ✓
4. 11 and 12

Why: 10² = 100 and 11² = 121. Since 100 < 112 < 121, √112 is between 10 and 11.

Compare 2/10 and 0.3. Which is larger?

1. They are equal
2. Cannot tell
3. 2/10
4. 0.3 ✓

Why: 2/10 = 0.200. Comparing 0.200 and 0.3, the greater value is 0.3.

Compare 8/12 and 0.52. Which is larger?

1. 0.52
2. 8/12 ✓
3. They are equal
4. Cannot tell

Why: 8/12 = 0.667. Comparing 0.667 and 0.52, the greater value is 8/12.

What is the slope of the line through (2, 8) and (5, -4)?

1. -4 ✓
2. -3
3. -5
4. -2

Why: slope = (y₂ − y₁) / (x₂ − x₁) = (-4 − 8) / (5 − 2) = -12/3 = -4.

Find the slope between the points (1, -9) and (3, -5).

1. 1
2. 4
3. 2 ✓
4. 3

Why: slope = (y₂ − y₁) / (x₂ − x₁) = (-5 − -9) / (3 − 1) = 4/2 = 2.

What is the slope of the line through (5, 7) and (4, 3)?

1. 4 ✓
2. 5
3. 3
4. 6

Why: slope = (y₂ − y₁) / (x₂ − x₁) = (3 − 7) / (4 − 5) = -4/-1 = 4.

A line has slope 6 and passes through (5, 35). What is the y-intercept (b)?

1. 4
2. 7
3. 6
4. 5 ✓

Why: Substitute: 35 = 6(5) + b → 35 = 30 + b → b = 5 = 5.

If y = -2x + b passes through (-4, 13), find b.

1. 6
2. 5 ✓
3. 7
4. 4

Why: Substitute: 13 = -2(-4) + b → 13 = 8 + b → b = 5 = 5.

Solve for x: 4x + 18 = 3x + 28

1. 11
2. 12
3. 9
4. 10 ✓

Why: Subtract 3x from both sides: 1x + 18 = 28. Then 1x = 10. Divide by 1: x = 10.

Solve for x: 9x − 19 = 2x + 44

1. 10
2. 11
3. 8
4. 9 ✓

Why: Subtract 2x from both sides: 7x − 19 = 44. Then 7x = 63. Divide by 7: x = 9.

Solve for x: 7x − 6 = 2x − 11

1. 1
2. -1 ✓
3. 0
4. -2

Why: Subtract 2x from both sides: 5x − 6 = -11. Then 5x = -5. Divide by 5: x = -1.

Does the set { (-1, 3), (-4, -7), (-5, -5), (6, -5) } represent a function?

1. Cannot tell
2. Yes ✓
3. No

Why: Each x-value is paired with exactly one y-value, so this IS a function.

Does the set { (-6, 10), (-5, -5), (-1, -9), (1, -4) } represent a function?

1. Yes ✓
2. Cannot tell
3. No

Why: Each x-value is paired with exactly one y-value, so this IS a function.

Find the length of the hypotenuse of a right triangle with legs 7 and 24.

1. 24
2. 27
3. 25 ✓
4. 26

Why: c² = a² + b² = 7² + 24² = 49 + 576 = 625. So c = 25.

Find the distance between the points (-4, -1) and (4, 14).

1. 18
2. 19
3. 17 ✓
4. 16

Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(64 + 225) = √289 = 17.

Find the distance between the points (-5, 1) and (10, -35).

1. 38
2. 40
3. 39 ✓
4. 41

Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(225 + 1296) = √1521 = 39.

Find the distance between the points (-4, 4) and (5, -8).

1. 16
2. 17
3. 14
4. 15 ✓

Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(81 + 144) = √225 = 15.

Find the volume of a cylinder with radius 4 and height 3. Use π = 3.14.

1. 150.71
2. 150.73
3. 150.72 ✓
4. 150.82

Why: V = πr²h = 3.14 × 4² × 3 = 3.14 × 16 × 3 = 150.72.

Reflect the point (-8, -8) across the x-axis. What are the new coordinates?

1. (-8, 8) ✓
2. (8, 8)
3. (8, -8)
4. (-8, -8)

Why: Reflecting across the x-axis negates y: (-8, -8) → (-8, 8).

Rotate the point (2, 8) 180° about the origin. What are the new coordinates?

1. (-8, -2)
2. (-2, 8)
3. (-2, -8) ✓
4. (2, -8)

Why: A 180° rotation negates both: (2, 8) → (-2, -8).

Rotate the point (-8, -4) 180° about the origin. What are the new coordinates?

1. (-8, 4)
2. (8, 4) ✓
3. (4, 8)
4. (8, -4)

Why: A 180° rotation negates both: (-8, -4) → (8, 4).

Apply a dilation with scale factor 0.5 centered at the origin to the point (-3, 6). What is the new x-coordinate?

1. -1.4
2. -1.6
3. -0.5
4. -1.5 ✓

Why: Multiply each coordinate by 0.5: (-3, 6) → (-1.5, 3). The new x-coordinate is -1.5.

Apply a dilation with scale factor 5 centered at the origin to the point (5, 2). What is the new x-coordinate?

1. 26
2. 25 ✓
3. 27
4. 24

Why: Multiply each coordinate by 5: (5, 2) → (25, 10). The new x-coordinate is 25.

Describe the association shown by this scatter plot: As the number of hours studied increases, test scores tend to increase.

1. Negative
2. No association
3. Positive ✓

Why: When one variable increases as the other increases, the association is positive.

Find the compound interest earned on $1400 at 2% compounded annually for 2 years.

1. 56.57
2. 56.56 ✓
3. 56.66
4. 56.55

Why: A = P(1+r)^t = 1400(1.02)^2 = 1456.56. I = A − P = 56.56.

Find the compound interest earned on $1000 at 2% compounded annually for 2 years.

1. 40.3
2. 41.4
3. 40.5
4. 40.4 ✓

Why: A = P(1+r)^t = 1000(1.02)^2 = 1040.4. I = A − P = 40.4.

Find the simple interest earned on $1800 at 8% per year for 4 years.

1. 576 ✓
2. 575
3. 578
4. 577

Why: I = P·r·t = 1800 × 0.08 × 4 = 576.

Find the compound interest earned on $1800 at 5% compounded annually for 2 years.

1. 184.5 ✓
2. 185.5
3. 184.4
4. 184.6

Why: A = P(1+r)^t = 1800(1.05)^2 = 1984.5. I = A − P = 184.5.