Elite 8th Grade Math CBE: Obj 2-4

Objective 2: Numbers & Operations

1. Which represents \( 0.0000302 \) in scientific notation?

A. \( 3.02 \times 10^{-5} \) B. \( 3.02 \times 10^{-4} \) C. \( 30.2 \times 10^{-6} \) D. \( 0.302 \times 10^{-4} \)

2. Approximate \( \sqrt{150} \) to the nearest hundredth.

A. 12.21 B. 12.25 C. 12.12 D. 12.33

3. Order from least to greatest: \( \{ \sqrt{0.5}, \quad 0.7, \quad \frac{2}{3}, \quad 72\% \} \)

A. \( \frac{2}{3}, \sqrt{0.5}, 0.7, 72\% \) B. \( \frac{2}{3}, 0.7, \sqrt{0.5}, 72\% \) C. \( 0.7, \frac{2}{3}, \sqrt{0.5}, 72\% \) D. \( \frac{2}{3}, 0.7, 72\%, \sqrt{0.5} \)

4. Solve for the value of \( (4 \times 10^3) \times (2 \times 10^{-5}) \).

A. 0.08 B. 0.8 C. 0.008 D. 8.0

5. Which is closer to 15 on a number line?

A. \( \sqrt{220} \) B. \( \sqrt{230} \) C. \( \sqrt{210} \) D. \( \sqrt{240} \)

Objective 3: Proportionality & Linear Functions

21. A line passes through \( (-2, 5) \) and \( (4, -3) \). What is the slope?

A. \( -\frac{4}{3} \) B. \( -\frac{3}{4} \) C. \( \frac{4}{3} \) D. \( \frac{3}{4} \)

22. If \( y \) varies directly with \( x \), and \( y = 15 \) when \( x = 4 \), find \( y \) when \( x = 10 \).

A. 37.5 B. 40 C. 25 D. 30.5

23. A dilation maps \( (6, -9) \) to \( (2, -3) \). What is the scale factor?

A. 3 B. \( \frac{1}{3} \) C. -3 D. \( -\frac{1}{3} \)

Objective 4: Expressions & Equations

41. Find the volume of a sphere with a diameter of 6 cm.

A. \( 36\pi \text{ cm}^3 \) B. \( 288\pi \text{ cm}^3 \) C. \( 113.1\pi \text{ cm}^3 \) D. \( 72\pi \text{ cm}^3 \)

42. Solve for \( x \): \( \quad 5(x - 2) = 2x + 14 \)

A. 8 B. 1.33 C. 4 D. 12

UT Austin 8th Grade Math CBE: Elite Comprehensive (Obj 2, 3 & 4)

Elite Comprehensive CBE Exam

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UT Austin 8th Grade Math CBE: Elite Comprehensive (Obj 2, 3 & 4)

Elite Comprehensive CBE Exam

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