Algebra I (Grades 8–9) Midterm — Semester 1, Form A
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Free printable Algebra I midterm (Grades 8–9): 15 multiple-choice questions plus 1 written response covering Expressions & Equations, Inequalities, Linear Functions. Answer key included — customize it in the Midterm Maker.
Algebra I (Grades 8–9) Midterm — Semester 1, Form A
Name: Date: Period:
Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.
Covers: Expressions & Equations · Inequalities · Linear Functions
Part 1: Multiple Choice
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Which property justifies 5(x + 2) = 5x + 10?
- A. Commutative Property of Addition
- B. Additive Identity Property
- C. Associative Property of Multiplication
- D. Distributive Property
-
Solve 3x + 2y = 8 for y.
- A. y = -(3/2)x + 4
- B. y = -(3/2)x + 8
- C. y = -3x + 8
- D. y = (3/2)x + 4
-
Solve A = (1/2)bh for h.
- A. h = 2Ab
- B. h = b/(2A)
- C. h = A/(2b)
- D. h = 2A/b
-
Solve: 3(2x + 1) = 4x + 15
- A. x = 7.5
- B. x = 3
- C. x = 9
- D. x = 6
-
Solve: (2/3)x - 4 = 10
- A. x = 21
- B. x = 6
- C. x = 4
- D. x = 9 1/3
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Solve: |x| < 5
- A. -5 < x < 5
- B. x < 5
- C. 0 < x < 5
- D. x < -5 or x > 5
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Which value of x is a solution of 3x - 5 ≥ 10?
- A. 5
- B. 0
- C. 4
- D. -5
-
Solve: 2(x - 1) ≤ 3x + 4
- A. x ≤ 2
- B. x ≥ 6
- C. x ≥ -6
- D. x ≤ -6
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Solve: -4x + 7 > 23
- A. x < 4
- B. x < -4
- C. x > -7.5
- D. x > -4
-
A phone plan costs $35 per month plus $0.05 per text. Kai can spend at most $50 per month. What is the greatest number of texts he can send?
- A. 300
- B. 30
- C. 1,700
- D. 700
-
What is the slope of a line perpendicular to y = (2/3)x - 5?
- A. 2/3
- B. 3/2
- C. -3/2
- D. -2/3
-
What is the y-intercept of the line 2x + 5y = 20?
- A. 2/5
- B. 20
- C. 4
- D. 10
-
Which equation describes the line through (1, 4) with slope 3?
- A. y = 3x + 1
- B. y = 3x - 1
- C. y = 4x + 3
- D. y = 3x + 4
-
The arithmetic sequence 7, 11, 15, 19, ... continues. What is the 20th term?
- A. 83
- B. 76
- C. 87
- D. 80
-
Which point lies on the line y - 3 = 2(x + 1)?
- A. (3, -1)
- B. (-1, 3)
- C. (1, 3)
- D. (1, -3)
Part 2: Written Response
- Solve 5(x - 2) - 3x = 2(x + 4) - x. Show each step and name the property or operation you used for each step.
Answer Key — Algebra I (Grades 8–9) Midterm — Semester 1, Form A
- D — Distributive Property Multiplying 5 by each term inside the parentheses is distributing.
- A — y = -(3/2)x + 4 2y = -3x + 8, then divide every term by 2.
- D — h = 2A/b Multiply both sides by 2, then divide by b.
- D — x = 6 6x + 3 = 4x + 15 gives 2x = 12, so x = 6.
- A — x = 21 Add 4: (2/3)x = 14. Multiply by 3/2: x = 21.
- A — -5 < x < 5 Values within 5 units of zero lie between -5 and 5.
- A — 5 3(5) - 5 = 10, and 10 ≥ 10 is true.
- C — x ≥ -6 2x - 2 ≤ 3x + 4 gives -6 ≤ x.
- B — x < -4 -4x > 16; dividing by -4 reverses the sign: x < -4.
- A — 300 35 + 0.05t ≤ 50 gives 0.05t ≤ 15, so t ≤ 300.
- C — -3/2 Perpendicular slopes are negative reciprocals: -3/2.
- C — 4 Set x = 0: 5y = 20, so y = 4.
- A — y = 3x + 1 4 = 3(1) + b, so b = 1.
- A — 83 a_n = 7 + 4(n - 1), so a_20 = 7 + 4(19) = 83.
- B — (-1, 3) Point-slope form y - y₁ = m(x - x₁) shows the point (-1, 3).
Written Response — Look-Fors
- Distributive Property on both sides (5x - 10 - 3x = 2x + 8 - x); combine like terms (2x - 10 = x + 8); subtraction and addition properties of equality; check by substitution. Final answer: x = 18.