Algebra I (Grades 8–9) Midterm — Quick Check, Units 4–6
← Midterm Library / Math / Algebra I
Free printable Algebra I midterm (Grades 8–9): 10 multiple-choice questions covering Systems of Equations, Exponents & Exponential Functions, Polynomials, Factoring & Quadratics. Answer key included — customize it in the Midterm Maker.
Algebra I (Grades 8–9) Midterm — Quick Check, Units 4–6
Name: Date: Period:
Directions: Read each question carefully and choose the best answer.
Covers: Systems of Equations · Exponents & Exponential Functions · Polynomials, Factoring & Quadratics
Part 1: Multiple Choice
-
How many solutions does the system 6x - 2y = 8 and 3x - y = 4 have?
- A. No solution
- B. Exactly two solutions
- C. Exactly one solution
- D. Infinitely many solutions
-
How many solutions does the system 2x + 4y = 7 and x + 2y = 3 have?
- A. Exactly two solutions
- B. Exactly one solution
- C. Infinitely many solutions
- D. No solution
-
Solve the system: y = x + 2 and 3x + y = 18
- A. (4, 2)
- B. (5, 3)
- C. (6, 4)
- D. (4, 6)
-
The function y = 200(1.05)^t models a population after t years. What does 1.05 tell you?
- A. The population grows 105% each year
- B. The population grows 5% each year
- C. The population decreases 5% each year
- D. The population grows 0.05% each year
-
Simplify: x^5 · x^(-2)
- A. x^(-10)
- B. x^(-3)
- C. x^7
- D. x^3
-
A culture starts with 50 bacteria and doubles every hour. How many bacteria are there after 5 hours?
- A. 500
- B. 3,200
- C. 1,600
- D. 250
-
Factor: x^2 - 49
- A. (x + 7)^2
- B. (x - 49)(x + 1)
- C. (x + 7)(x - 7)
- D. (x - 7)^2
-
How many real solutions does 2x^2 - 4x + 5 = 0 have?
- A. No real solutions
- B. Two real solutions
- C. Three real solutions
- D. One real solution
-
Factor: x^2 + 7x + 12
- A. (x + 2)(x + 6)
- B. (x - 3)(x - 4)
- C. (x + 1)(x + 12)
- D. (x + 3)(x + 4)
-
Simplify: (3x^2 + 2x - 5) + (x^2 - 4x + 7)
- A. 4x^2 - 2x - 12
- B. 4x^2 + 6x + 2
- C. 3x^4 - 2x + 2
- D. 4x^2 - 2x + 2
Answer Key — Algebra I (Grades 8–9) Midterm — Quick Check, Units 4–6
- D — Infinitely many solutions The first equation is 2 times the second, so they are the same line.
- D — No solution Doubling the second gives 2x + 4y = 6, which contradicts 7.
- D — (4, 6) 3x + x + 2 = 18 gives x = 4, then y = 6.
- B — The population grows 5% each year 1.05 = 1 + 0.05, so the growth rate is 5% per year.
- D — x^3 Add exponents: 5 + (-2) = 3.
- C — 1,600 50 × 2⁵ = 50 × 32 = 1,600.
- C — (x + 7)(x - 7) Difference of squares: a² - b² = (a + b)(a - b).
- A — No real solutions The discriminant (-4)² - 4(2)(5) = -24 is negative.
- D — (x + 3)(x + 4) 3 and 4 multiply to 12 and add to 7.
- D — 4x^2 - 2x + 2 Combine like terms: 4x², -2x, and 2.