Diagnostic Algebra and Algebraic Thinking Flashcards
6 cards from real i-Ready Diagnostic Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Diagnostic Algebra and Algebraic Thinking flashcards as text
A baker starts the day with 48 muffins. After selling some muffins, there are 15 left. If 'm' represents the number of muffins sold, which equation correctly represents this situation?
Answer: 48 - m = 15
The initial amount (48) minus the amount sold (m) equals the remaining amount (15). Therefore, the correct equation is 48 - m = 15. This shows the starting total being reduced by the number sold to find the final amount.
Which of the following equations demonstrates the associative property of addition?
Answer: (3 + 8) + 4 = 3 + (8 + 4)
The associative property of addition states that how numbers are grouped in an addition problem does not change the sum. Choice B shows that grouping (3 + 8) first is the same as grouping (8 + 4) first, which is the definition of this property.
A numerical pattern starts with the number 3. The rule for the pattern is 'multiply by 2, then add 1.' What is the fourth number in this pattern?
Answer: 31
To find the fourth number, apply the rule sequentially: 1st number: 3. 2nd number: (3 × 2) + 1 = 7. 3rd number: (7 × 2) + 1 = 15. 4th number: (15 × 2) + 1 = 31.
A student is saving money for a new video game that costs $60. They already have $22 saved. Which inequality represents 'm', the amount of money the student still needs to save to have *at least* enough for the game?
Answer: 22 + m ≥ 60
The phrase 'at least' means the total amount saved must be greater than or equal to $60. The amount they have ($22) plus the amount they still need (m) must be greater than or equal to (≥) the cost of the game ($60).
A school is planning a field trip. The total cost is represented by the expression 5b + 150, where 'b' is the number of students attending. What does the term '150' most likely represent in this context?
Answer: A fixed fee, such as the bus rental cost.
In the expression 5b + 150, the term '5b' changes depending on the number of students ('b'), suggesting 5 is a per-student cost. The term '150' is a constant that is added regardless of the number of students, making it a fixed fee, like the cost to rent the bus for the day.
The equation y = x + 4 describes a relationship between two variables, x and y. Which of the following scenarios could be represented by this equation?
Answer: The age of Sam, y, who is 4 years older than his brother, whose age is x.
The equation y = x + 4 means that the value of y is always 4 more than the value of x. This matches the scenario where Sam's age (y) is 4 years more than his brother's age (x).
How this page was made: written with AI tools and published by Nathan Beja, founder of Practice Test Geeks, who is responsible for its content. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy
Sources & references
Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy
- curriculumassociates.com — Test dates, time limit, fees, test delivery, eligibility · verified Oct 2026