FAST - Florida State Assessment Readiness Mathematical: Algebraic Reasoning Questions and Answers

Question 1

Maya is buying tickets for a carnival.
The admission fee is a flat $10, and each ride ticket costs $1.50.
Which expression represents the total cost for Maya to enter the carnival and buy *r* ride tickets?

Accepted Answer

10 + 1.50r

Answer

10r + 1.50

Answer

11.50r

Answer

10 - 1.50r

Question 2

A function machine follows a specific rule, as shown in the input-output table below.

| Input (x) | Output (y) |
|---|---|
| 2 | 7 |
| 4 | 11 |
| 6 | 15 |
| 8 | 19 |

Which equation describes the rule for the function machine?

Accepted Answer

y = 2x + 3

Answer

y = x + 5

Answer

y = 3x + 1

Answer

y = 4x - 1

Question 3

A roller coaster has a sign that reads, 'Riders must be at least 48 inches tall.' Which of the following inequalities correctly represents the height, *h*, in inches, that a person must be to ride?

Accepted Answer

h ≥ 48

Answer

h < 48

Answer

h > 48

Answer

h ≤ 48

Question 4

Which equation correctly demonstrates the distributive property of multiplication over addition?

Accepted Answer

7(x + 3) = 7x + 21

Answer

5 + (8 + 2) = (5 + 8) + 2

Answer

4 × 9 = 9 × 4

Answer

12y × 1 = 12y

Question 5

Which algebraic expression correctly translates the verbal phrase '8 less than the product of a number, n, and 3'?

Accepted Answer

3n - 8

Answer

8 - 3n

Answer

8 < 3n

Answer

3(n - 8)

Question 6

Leo sold boxes of cookies for a fundraiser, earning $2.50 for each box he sold. By the end of the fundraiser, he had raised a total of $112.50. If *b* represents the number of boxes Leo sold, which equation correctly models this situation?

Accepted Answer

2.50b = 112.50

Answer

b / 2.50 = 112.50

Answer

2.50 + b = 112.50

Answer

112.50 - b = 2.50