Grade 9 Algebra Test
Time: 45–60 minutes
Instructions: Show all your work. Calculators are allowed unless stated otherwise.
Section A: Multiple Choice (1 point each)
Choose the correct answer.
1. Simplify: 3x + 5x - 2 a) 8x - 2 b) 15x c) 8x + 2 d) 3x + 5x + 2
2. Factorize: x^2 + 7x + 12 a) (x + 3)(x + 4) b) (x + 2)(x + 6) c) (x + 1)(x + 12) d) (x + 4)(x + 5)
3. Solve for x: 2x - 5 = 9 a) 2 b) 5 c) 7 d) 14
4. Which of the following is a linear equation? a) x^2 + 5 = 0 b) 3x + 7 = 0 c) x^3 - 2 = 0 d) x^2 + x + 1 = 0
Section B: Short Answer (2 points each)
1. Simplify: 4a + 7b - 2a + 3b
2. Factorize completely: x^2 - 9
3. Solve for x: 5x + 12 = 27
4. Expand: (x + 5)(x + 2)
5. Solve: 3(x - 4) = 2x + 1
Section C: Problem Solving (3 points each)
1. A number increased by 7 equals 3 times the number minus 5. Find the number.
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Time: 45–60 minutes
Instructions: Show all your work. Calculators are allowed unless stated otherwise.
Section A: Multiple Choice (1 point each)
Choose the correct answer.
1. Simplify: 3x + 5x - 2 a) 8x - 2 b) 15x c) 8x + 2 d) 3x + 5x + 2
2. Factorize: x^2 + 7x + 12 a) (x + 3)(x + 4) b) (x + 2)(x + 6) c) (x + 1)(x + 12) d) (x + 4)(x + 5)
3. Solve for x: 2x - 5 = 9 a) 2 b) 5 c) 7 d) 14
4. Which of the following is a linear equation? a) x^2 + 5 = 0 b) 3x + 7 = 0 c) x^3 - 2 = 0 d) x^2 + x + 1 = 0
Section B: Short Answer (2 points each)
1. Simplify: 4a + 7b - 2a + 3b
2. Factorize completely: x^2 - 9
3. Solve for x: 5x + 12 = 27
4. Expand: (x + 5)(x + 2)
5. Solve: 3(x - 4) = 2x + 1
Section C: Problem Solving (3 points each)
1. A number increased by 7 equals 3 times the number minus 5. Find the number.
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