Math 6 (Grade 6) Midterm — Semester 2, Form B
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Free printable Math 6 midterm (Grade 6): 15 multiple-choice questions plus 1 written response covering Expressions, Equations & Inequalities, Geometry & Statistics. Answer key included — customize it in the Midterm Maker.
Math 6 (Grade 6) Midterm — Semester 2, 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 · Geometry & Statistics
Part 1: Multiple Choice
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What is the value of 3x + 5 when x = 4?
- A. 22
- B. 12
- C. 17
- D. 35
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Which expression is equivalent to 4a + 3b − a + 2b?
- A. 3a + 5b
- B. 3a + b
- C. 5a + 5b
- D. 4a + 5b
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Which expression is equivalent to 3(2x + 4)?
- A. 5x + 7
- B. 6x + 4
- C. 6x + 12
- D. 2x + 12
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Which expression is equivalent to 18m + 24?
- A. 3(6m + 4)
- B. 18(m + 6)
- C. 6(3m + 24)
- D. 6(3m + 4)
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Concert tickets cost $8 each, plus a $3 fee per order. Which expression gives the total cost of t tickets in one order?
- A. 11t
- B. 8t + 3
- C. 3t + 8
- D. 8(t + 3)
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To go on a ride, a rider must be at least 48 inches tall. Which inequality shows the allowed heights, h?
- A. h ≥ 48
- B. h ≤ 48
- C. h < 48
- D. h > 48
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Maria has saved $45. She needs $120 for a bike. Which equation can be used to find m, the amount she still needs?
- A. 45m = 120
- B. 120 + 45 = m
- C. m − 45 = 120
- D. 45 + m = 120
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Solve: n − 3.5 = 10
- A. n = 13.5
- B. n = 35
- C. n = 10.5
- D. n = 6.5
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Notebooks cost $4 each. The equation y = 4x gives the total cost y for x notebooks. Which is the dependent variable?
- A. 4, the price of one notebook
- B. y, the total cost
- C. x, the number of notebooks
- D. There is no dependent variable.
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How is the inequality x < 3 shown on a number line?
- A. An open circle at 3 with shading to the right
- B. A closed circle at 3 with shading to the right
- C. An open circle at 3 with shading to the left
- D. A closed circle at 3 with shading to the left
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What is the range of the data set 14, 22, 9, 30, 17?
- A. 17
- B. 21
- C. 9
- D. 30
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What is the interquartile range (IQR) of the data set 1, 3, 5, 7, 9, 11, 13, 15?
- A. 4
- B. 12
- C. 8
- D. 14
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What is the surface area of a cube with edges 3 inches long?
- A. 27 square inches
- B. 9 square inches
- C. 54 square inches
- D. 36 square inches
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Which is a statistical question?
- A. What time does our school's first bell ring?
- B. How many hours do students in my class sleep?
- C. How many days are there in a leap year?
- D. How many hours did my best friend sleep last night?
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What is the mean of the data set 2, 8, 6, 10, 9?
- A. 8
- B. 6
- C. 9
- D. 7
Part 2: Written Response
- A phone plan allows at most 500 minutes per month. Write an inequality for the minutes used, m, graph it, and give two values that work and one that does not.
Answer Key — Math 6 (Grade 6) Midterm — Semester 2, Form B
- C — 17 3(4) + 5 = 12 + 5 = 17.
- A — 3a + 5b Combine like terms: 4a − a = 3a and 3b + 2b = 5b.
- C — 6x + 12 Distribute: 3 × 2x = 6x and 3 × 4 = 12.
- D — 6(3m + 4) Factor out the GCF 6: 6 × 3m = 18m and 6 × 4 = 24.
- B — 8t + 3 Each ticket adds $8, and the $3 fee is charged once.
- A — h ≥ 48 'At least 48' includes 48 and anything greater.
- D — 45 + m = 120 Savings plus the amount needed equals the total cost.
- A — n = 13.5 Add 3.5 to both sides: 10 + 3.5 = 13.5.
- B — y, the total cost The total cost depends on how many notebooks are bought.
- C — An open circle at 3 with shading to the left 3 is not included (open circle), and smaller values are to the left.
- B — 21 Range = greatest − least = 30 − 9 = 21.
- C — 8 Q1 = 4 and Q3 = 12, so IQR = 12 − 4 = 8.
- C — 54 square inches 6 faces × (3 × 3) = 6 × 9 = 54.
- B — How many hours do students in my class sleep? A statistical question expects answers that vary.
- D — 7 Sum is 35; 35 ÷ 5 = 7.
Written Response — Look-Fors
- m ≤ 500 (and m ≥ 0); closed circle at 500 shading left; two valid values and one value over 500.