Name:

Date:

8th Grade Math Initial Assessment

Directions: This assessment will help determine your current understanding of key 8th grade math concepts. Show all your work and circle your final answers.

Section 1: Expressions and Equations

1. Solve for x: 3x + 5 = 20

2. Simplify: 2(3x - 4) + 5x

Section 2: Functions

3. If f(x) = 2x² - 3x + 1, find f(2).

4. If g(x) = 3x - 4, find the value of x when g(x) = 11.

Section 3: Geometry

5. Find the volume of a cylinder with radius 4 cm and height 10 cm. Use π ≈ 3.14.

6. Find the area of a triangle with base 8 cm and height 6 cm.

Section 4: The Number System

7. Convert the fraction 3/8 to a decimal.

8. Calculate: (-3) × (-4) + (-5)

Section 5: Word Problem

9. A store is having a 25% off sale. If a shirt originally costs $36, what is the sale price? Show your work.

10. A recipe calls for 2¾ cups of flour. If you want to make 1½ batches, how much flour will you need? Show your work.