i-Ready Diagnostic Test Diagnostic Algebra and Algebraic Thinking 3 — Questions and Answers
Question 1: Which table of values represents the linear equation y = 2x − 1?
- x=1→1, x=2→3, x=3→5 (Correct answer)
- x=1→2, x=2→4, x=3→6
- x=1→3, x=2→5, x=3→7
- x=1→1, x=2→4, x=3→9
Correct answer: x=1→1, x=2→3, x=3→5
Using y = 2x − 1: when x=1, y=1; x=2, y=3; x=3, y=5.
Question 2: Solve for y: 3y + 5 = 2y + 13
- y = 6
- y = 7
- y = 8 (Correct answer)
- y = 18
Correct answer: y = 8
Subtracting 2y and 5 from both sides: y = 8.
Question 3: A car travels at a constant speed of 60 mph. Which expression gives the distance (d) traveled in t hours?
- d = 60 + t
- d = t ÷ 60
- d = 60t (Correct answer)
- d = 60 − t
Correct answer: d = 60t
Distance equals rate times time, so d = 60t.
Question 4: What is the slope of a line that passes through (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.
Question 5: Which of the following is NOT a function?
- {(1,2),(2,4),(3,6)}
- {(1,3),(2,3),(3,3)}
- {(1,2),(1,4),(2,6)} (Correct answer)
- {(2,1),(4,2),(6,3)}
Correct answer: {(1,2),(1,4),(2,6)}
A relation is not a function when one x-value maps to more than one y-value; x=1 maps to both 2 and 4.
Question 6: Simplify: 3x + 2y − x + 5y
- 2x + 7y (Correct answer)
- 4x + 7y
- 2x + 3y
- 3x + 7y
Correct answer: 2x + 7y
Combining like terms: (3x − x) + (2y + 5y) = 2x + 7y.
Question 7: The sum of two consecutive integers is 47. What are the integers?
- 22 and 23
- 23 and 24 (Correct answer)
- 24 and 25
- 21 and 26
Correct answer: 23 and 24
If the integers are n and n+1, then 2n+1=47, so n=23 and n+1=24.
i-Ready Diagnostic Test Diagnostic Algebra and Algebraic Thinking 3
Which table of values represents the linear equation y = 2x − 1?