Algebra I (Grades 8–9) Midterm — Semester 1, Form B
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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 B
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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Solve: |x - 3| = 5
- A. x = 8 only
- B. x = 8 or x = -2
- C. x = -8 or x = 2
- D. x = 8 or x = 2
-
Simplify: 4(2x - 3) - (x - 5)
- A. 9x - 7
- B. 7x - 7
- C. 7x - 17
- D. 7x + 2
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Evaluate 2a^2 - 3b when a = -3 and b = 4.
- A. 30
- B. -30
- C. 6
- D. -6
-
Solve: 0.4(x - 10) = 0.2x + 3
- A. x = 17.5
- B. x = 5
- C. x = 70
- D. x = 35
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The sum of three consecutive integers is 87. What is the smallest integer?
- A. 26
- B. 28
- C. 29
- D. 27
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Solve: -3 < 2x + 1 ≤ 9
- A. -2 ≤ x < 4
- B. -2 < x ≤ 4
- C. -4 < x ≤ 2
- D. -1 < x ≤ 5
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A number line shows an open circle at 2 with shading to the left. Which inequality does it show?
- A. x ≤ 2
- B. x > 2
- C. x ≥ 2
- D. x < 2
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Which point is a solution of y > 2x - 1?
- A. (0, 0)
- B. (3, 4)
- C. (1, 0)
- D. (2, 3)
-
Which inequality means "a number n decreased by 7 is at most 15"?
- A. n - 7 ≥ 15
- B. n - 7 < 15
- C. n - 7 ≤ 15
- D. 7 - n ≤ 15
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Solve: |x - 2| ≥ 3
- A. x ≤ -1 or x ≥ 5
- B. -1 ≤ x ≤ 5
- C. x ≥ 5
- D. x ≤ -5 or x ≥ 1
-
If f(x) = -2x + 9, for what value of x does f(x) = 1?
- A. 4
- B. -4
- C. 5
- D. 7
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What is the slope of the line through (-2, 5) and (4, -7)?
- A. -1/2
- B. -6
- C. 2
- D. -2
-
Which line is parallel to y = -4x + 1 and passes through (0, 6)?
- A. y = (1/4)x + 6
- B. y = 4x + 6
- C. y = -4x + 1
- D. y = -4x + 6
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A repair costs C = 15h + 40 dollars, where h is hours worked. What does 15 represent?
- A. The total cost is $15
- B. The cost increases $15 for each hour of work
- C. The base fee is $15
- D. The job takes 15 hours
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Which equation describes the horizontal line through (5, -2)?
- A. x = 5
- B. x = -2
- C. y = 5
- D. y = -2
Part 2: Written Response
- A club sells candles for $8 each. It spent $200 on supplies. The club wants a profit of at least $500. Write and solve an inequality for the number of candles c, and explain what the solution means in context. Show your work.
Answer Key — Algebra I (Grades 8–9) Midterm — Semester 1, Form B
- B — x = 8 or x = -2 x - 3 = 5 or x - 3 = -5, so x = 8 or x = -2.
- B — 7x - 7 8x - 12 - x + 5 = 7x - 7.
- C — 6 2(-3)² - 3(4) = 2(9) - 12 = 6.
- D — x = 35 0.4x - 4 = 0.2x + 3 gives 0.2x = 7, so x = 35.
- B — 28 n + (n + 1) + (n + 2) = 87 gives 3n = 84, so n = 28.
- B — -2 < x ≤ 4 Subtract 1 from all parts, then divide all parts by 2.
- D — x < 2 Open circle means 2 is excluded; shading left means less than.
- A — (0, 0) 0 > 2(0) - 1 means 0 > -1, which is true.
- C — n - 7 ≤ 15 "Decreased by 7" is n - 7, and "at most" means ≤.
- A — x ≤ -1 or x ≥ 5 x - 2 ≤ -3 or x - 2 ≥ 3, so x ≤ -1 or x ≥ 5.
- A — 4 -2x + 9 = 1 gives -2x = -8, so x = 4.
- D — -2 (-7 - 5) ÷ (4 - (-2)) = -12 ÷ 6 = -2.
- D — y = -4x + 6 Parallel lines share the slope -4; the y-intercept is 6.
- B — The cost increases $15 for each hour of work The slope, 15, is the cost added per hour.
- D — y = -2 Every point on a horizontal line has the same y-value, -2.
Written Response — Look-Fors
- Inequality 8c - 200 ≥ 500; 8c ≥ 700; c ≥ 87.5; explains candles must be whole numbers so round up. Final answer: at least 88 candles.