IAAT - Iowa Algebra Aptitude Representing Relationships Questions and Answers

Question 1

A pizza restaurant charges a flat fee of $3 for delivery and $11 for each pizza ordered. Which equation can be used to find the total cost (C) for any number of pizzas (p)?

Accepted Answer

C = 11p + 3

Answer

C = 3p + 11

Answer

C = 11p - 3

Answer

C = 14p

Question 2

The table below shows the relationship between the number of hours a student spends studying (h) and the score they receive on a test (S). Which rule describes this relationship?

| Hours (h) | Score (S) |
|---|---|
| 0 | 65 |
| 1 | 72 |
| 2 | 79 |
| 3 | 86 |

Accepted Answer

S = 7h + 65

Answer

S = h + 65

Answer

S = 65h + 7

Answer

S = 79h - 7

Question 3

Which of the following verbal statements correctly represents the algebraic expression 2(n - 5)?

Accepted Answer

Twice the difference of a number and five.

Answer

Five less than twice a number.

Answer

A number decreased by five.

Answer

Two more than a number minus five.

Question 4

A taxi company charges $2.50 for the first mile and $0.75 for each additional mile. If 'm' represents the total number of miles traveled, which expression represents the total cost for a ride that is more than one mile?

Accepted Answer

2.50 + 0.75(m - 1)

Answer

2.50 + 0.75m

Answer

2.50m + 0.75

Answer

3.25m

Question 5

The perimeter of a rectangle is found using the formula P = 2L + 2W, where L is the length and W is the width. If the length of a rectangle is 4 units more than its width (W), which equation represents the perimeter in terms of only its width?

Accepted Answer

P = 2(W + 4) + 2W

Answer

P = 2L + 2(L - 4)

Answer

P = 2W + 8

Answer

P = 6W

Question 6

A pattern of figures is shown below. If 'n' represents the figure number, which expression can be used to find the number of squares in any figure?

Figure 1: 3 squares
Figure 2: 5 squares
Figure 3: 7 squares

Accepted Answer

2n + 1

Answer

n + 2

Answer

3n

Answer

n + 4