i-Ready Diagnostic Test Diagnostic Algebra and Algebraic Thinking 2 — Questions and Answers
Question 1: A store sells notebooks for $3 each. Which equation represents the total cost (C) for n notebooks?
- C = n + 3
- C = 3n (Correct answer)
- C = 3 + n
- C = n ÷ 3
Correct answer: C = 3n
Multiplying the price per notebook by the number of notebooks gives total cost: C = 3n.
Question 2: What is the value of x in the equation 4x − 6 = 18?
- 3
- 4
- 6 (Correct answer)
- 12
Correct answer: 6
Adding 6 to both sides gives 4x = 24, then dividing by 4 gives x = 6.
Question 3: Which expression is equivalent to 5(x + 4)?
- 5x + 4
- 5x + 9
- 5x + 20 (Correct answer)
- x + 20
Correct answer: 5x + 20
Distributing 5 to each term inside the parentheses gives 5x + 20.
Question 4: The rule for a pattern is 'multiply by 3 and subtract 1.' If the input is 5, what is the output?
- 14 (Correct answer)
- 13
- 16
- 11
Correct answer: 14
5 × 3 = 15, then 15 − 1 = 14.
Question 5: Which inequality represents 'a number y is at most 12'?
- y > 12
- y < 12
- y ≥ 12
- y ≤ 12 (Correct answer)
Correct answer: y ≤ 12
'At most 12' means y can equal 12 or be less, so y ≤ 12.
Question 6: If f(x) = 2x + 7, what is f(4)?
- 13
- 14
- 15 (Correct answer)
- 16
Correct answer: 15
Substituting x = 4: 2(4) + 7 = 8 + 7 = 15.
Question 7: A sequence starts: 2, 6, 18, 54, … What is the next term?
- 108
- 162 (Correct answer)
- 72
- 58
Correct answer: 162
Each term is multiplied by 3; 54 × 3 = 162.
i-Ready Diagnostic Test Diagnostic Algebra and Algebraic Thinking 2
A store sells notebooks for $3 each.
Which equation represents the total cost (C) for n notebooks?