Date:

Grade 9 Mathematics Initial Assessment

Directions: This assessment will help determine your current understanding of key mathematical concepts. Show all your work and reasoning. You have 45 minutes to complete this assessment.

Section 1: Algebraic Expressions and Equations

1. Solve for x: 3x + 7 = 22

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

3. Factor completely: x² - 9x + 18

Section 2: Linear Functions

4. Find the slope and y-intercept of the line: 2x - 3y = 12

5. Write the equation of a line that passes through the points (2, 5) and (4, 9) in slope-intercept form (y = mx + b).

Grade 9 Mathematics Initial Assessment (continued)

Section 3: Systems of Equations

6. Solve the system of equations:

x + y = 7

2x - y = 2

Section 4: Geometry and Measurement

7. Find the area and perimeter of a rectangle with length 12 cm and width 5 cm.

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

Section 5: Problem Solving

9. Word Problem: A rectangular garden has a perimeter of 36 meters. The length is 4 meters longer than the width. Find the dimensions of the garden and calculate its area.