Chapter practice examination

Original untimed practice examination. Not a secure or official placement test.

Original untimed practice examination. Not a secure or official placement test. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.

Assessment · 24 questions

Questions

Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.

A1
A student answers the following question with “$4.28”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: You have $5.87 and spend $1.60. How much remains? (3 points)
Reveal explanation
Answer: $4.27
The suggested answer is not correct. Subtract 160 cents from 587 cents. The 427 cents remaining equal $4.27.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
A2
Write 274 cents as dollars and cents. (2 points)
Reveal explanation
Answer: $2.74
There are 100 cents in one dollar; 274 cents = 2 dollars and 74 cents.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A3
Write 469 cents as dollars and cents. (2 points)
Reveal explanation
Answer: $4.69
There are 100 cents in one dollar; 469 cents = 4 dollars and 69 cents.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A4
You have $1.36. How much more money do you need to make exactly $10.00? (2 points)
Reveal explanation
Answer: $8.64
10 dollars is 1,000 cents. Subtract 136 cents to get 864 cents, or $8.64.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A5
A student answers the following question with “$9.65”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: You have $20.00. You buy two items costing $7.13 and $3.23. What change do you receive? (3 points)
Reveal explanation
Answer: $9.64
The suggested answer is not correct. Combine the costs: $7.13 + $3.23 = $10.36. Then subtract from $20.00 to get $9.64.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
A6
You have $20.00. You buy two items costing $8.59 and $1.70. What change do you receive? (2 points)
Reveal explanation
Answer: $9.71
Combine the costs: $8.59 + $1.70 = $10.29. Then subtract from $20.00 to get $9.71.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A7
A notebook costs $8.55 and a pencil case costs $1.25. What is the total cost? (2 points)
Reveal explanation
Answer: $9.80
Add cents: 855 + 125 = 980 cents = $9.80.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A8
You have $7.66 and spend $2.20. How much remains? (2 points)
Reveal explanation
Answer: $5.46
Subtract 220 cents from 766 cents. The 546 cents remaining equal $5.46.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A9
A student answers the following question with “$8.01”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Write 800 cents as dollars and cents. (3 points)
Reveal explanation
Answer: $8.00
The suggested answer is not correct. There are 100 cents in one dollar; 800 cents = 8 dollars and 0 cents.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
A10
A notebook costs $3.15 and a pencil case costs $0.81. What is the total cost? (2 points)
Reveal explanation
Answer: $3.96
Add cents: 315 + 81 = 396 cents = $3.96.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A11
A notebook costs $6.38 and a pencil case costs $3.23. What is the total cost? (2 points)
Reveal explanation
Answer: $9.61
Add cents: 638 + 323 = 961 cents = $9.61.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A12
A notebook costs $6.52 and a pencil case costs $3.64. What is the total cost? (2 points)
Reveal explanation
Answer: $10.16
Add cents: 652 + 364 = 1016 cents = $10.16.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A13
A student answers the following question with “$1.67”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: You have $5.26 and spend $3.60. How much remains? (3 points)
Reveal explanation
Answer: $1.66
The suggested answer is not correct. Subtract 360 cents from 526 cents. The 166 cents remaining equal $1.66.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
A14
You have $4.13. How much more money do you need to make exactly $10.00? (2 points)
Reveal explanation
Answer: $5.87
10 dollars is 1,000 cents. Subtract 413 cents to get 587 cents, or $5.87.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A15
You have $30.00. You buy two items costing $4.69 and $3.52. What change do you receive? (2 points)
Reveal explanation
Answer: $21.79
Combine the costs: $4.69 + $3.52 = $8.21. Then subtract from $30.00 to get $21.79.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A16
You have $4.85. How much more money do you need to make exactly $10.00? (2 points)
Reveal explanation
Answer: $5.15
10 dollars is 1,000 cents. Subtract 485 cents to get 515 cents, or $5.15.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A17
A student answers the following question with “$13.59”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: You have $20.00. You buy two items costing $3.79 and $2.63. What change do you receive? (3 points)
Reveal explanation
Answer: $13.58
The suggested answer is not correct. Combine the costs: $3.79 + $2.63 = $6.42. Then subtract from $20.00 to get $13.58.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
A18
You have $5.74. How much more money do you need to make exactly $10.00? (2 points)
Reveal explanation
Answer: $4.26
10 dollars is 1,000 cents. Subtract 574 cents to get 426 cents, or $4.26.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A19
A notebook costs $4.75 and a pencil case costs $2.09. What is the total cost? (2 points)
Reveal explanation
Answer: $6.84
Add cents: 475 + 209 = 684 cents = $6.84.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A20
You have $2.87 and spend $1.42. How much remains? (2 points)
Reveal explanation
Answer: $1.45
Subtract 142 cents from 287 cents. The 145 cents remaining equal $1.45.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A21
A student answers the following question with “$2.47”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Write 246 cents as dollars and cents. (3 points)
Reveal explanation
Answer: $2.46
The suggested answer is not correct. There are 100 cents in one dollar; 246 cents = 2 dollars and 46 cents.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
A22
You have $9.69 and spend $1.41. How much remains? (2 points)
Reveal explanation
Answer: $8.28
Subtract 141 cents from 969 cents. The 828 cents remaining equal $8.28.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
A23
You have $10.00 and spend $3.75. Find the change by counting up, explaining each jump. (3 points)
Reveal explanation
Answer: $6.25
Count 25 cents to $4.00, then $6.00 more to $10.00, for $6.25 change.
Scoring: 1 point for the correct claim; 1 for a mathematical justification; 1 for a clear diagram, example, or relevant calculation when applicable.
A24
Explain why $7.05 is 7 dollars and 5 cents rather than 7 dollars and 50 cents. (3 points)
Reveal explanation
Answer: $7.05
The first digit after the decimal is tens of cents, and the second is ones of cents.
Scoring: 1 point for the correct claim; 1 for a mathematical justification; 1 for a clear diagram, example, or relevant calculation when applicable.

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