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

The total cost is calculated by starting with the fixed admission fee ($10) and adding the variable cost of the ride tickets. The cost of the tickets is $1.50 multiplied by the number of rides (r), which is 1.50r. Therefore, the correct expression is 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

To find the correct rule, substitute the input (x) values from the table into each equation to see if the result matches the output (y) value. For the correct equation, y = 2x + 3: when x=2, y = 2(2)+3 = 7; when x=4, y = 2(4)+3 = 11; when x=6, y = 2(6)+3 = 15. This rule works for all pairs in the table.

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

The phrase 'at least 48 inches' means that a height of exactly 48 inches is allowed, as well as any height greater than 48 inches. The mathematical symbol for 'greater than or equal to' is ≥. Therefore, the inequality h ≥ 48 correctly represents the height requirement.

Question 4

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

Accepted Answer

7(x + 3) = 7x + 21

Answer

The distributive property states that multiplying a number by a sum is the same as multiplying the number by each addend separately and then adding the products. In option B, the 7 is 'distributed' to both the x and the 3 through multiplication, resulting in 7x + 21. Option A shows the associative property, C shows the commutative property, and D shows the identity property.

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

First, identify 'the product of a number, n, and 3,' which translates to 3n. The key phrase 'less than' indicates subtraction, but it reverses the order of the terms. So, '8 less than' means you subtract 8 from the previously identified product. This results in the expression 3n - 8.

FAST - Florida State Assessment Readiness Practice Test

FAST - Florida State Assessment Readiness Practice Test

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