Practice Test 1

Question 1

The function f is defined by f(x) = 5x + b. For the linear function f, b is a constant and f(6) = 30. What is the value of b? A) 0 B) 2 C) 5 D) 6

Question 2

The total cost f(x), in dollars, to lease a car for 24 months is given by f(x) = 24x + 1,200, where x is the monthly payment. What is the total cost when the monthly payment is $350? A) $8,400 B) $9,600 C) $10,800 D) $24,600

Question 3

A roller-coaster car starts 20 feet above ground and rises at 10 feet per second. Which equation gives the height h, in feet, s seconds after it starts? A) h = 10s + 20 B) h = 20s + 50 C) h = 10s + 200 D) h = 20s + 10

Question 4

If f(x) = (3x - 2)/4, what is the value of f(6)? A) 5/4 B) 10/4 C) 4 D) 16

Question 5

The function g is defined by g(x) = 7x. For what value of x is g(x) = 63?

Value of x:

Question 6

A bumblebee's head width (mm) can be estimated by adding 0.8 to five times its body weight (grams). What is the head width for a bee weighing 0.6 grams?

Head width (mm):

Question 7

For the constant function f(x) = 45, which table correctly shows three x-values and their f(x) values?

Option	Table Contents
A	All f(x) = 0
B	All f(x) = 45
C	f(x) increases from 0
D	f(x) decreases from 45

A B C D

Question 8

A linear function contains the points (0,4) and (6,34). Which equation defines this function? A) f(x) = 30x + 38 B) f(x) = 4x + 40 C) f(x) = 5x + 4 D) f(x) = 6x + 4

Question 9

The equation y = 150 - 30x models cargo remaining after x hours. What is the best interpretation of the x-intercept? A) Cargo will be moved in about 5 hours B) Team moves about 5 tons per hour C) Team moves about 30 tons per hour D) Started with 150 tons

Question 10

The function f(x) = 8x - 96 has what x-intercept? A) (-12, 0) B) (-8, 0) C) (8, 0) D) (12, 0)

Question 11

The graph of y = f(x) + 19 is shown. If c and d are positive constants, which equation could define f? A) f(x) = -d - cx B) f(x) = d - cx C) f(x) = -d + cx D) f(x) = d + cx

Question 12

For the linear function f, the table shows three x-values and their f(x) values. If h(x) = f(x) - 15, which equation defines h?

x	f(x)
-5	0
22/5	1
21/5	2

A) h(x) = 5x - 5 B) h(x) = 5x + 8 C) h(x) = 5x + 10 D) h(x) = 5x + 25

Question 13

The functions f and g are defined as f(x) = (1/5)x - 10 and g(x) = (4/5)x + 25. If h(x) = f(x) + g(x), what is the x-coordinate of the x-intercept?

x-coordinate:

Question 14

A window repair specialist charges $240 for the first two hours plus an hourly fee for additional hours. The total cost for 6 hours is $480. Which function gives the total cost for x hours (x ≥ 2)? A) f(x) = 70x + 100 B) f(x) = 70x + 240 C) f(x) = 80x D) f(x) = 80x + 240

Question 15

The cost of renting a backhoe for up to 12 days is $300 for the first day and $150 for each additional day. Which equation gives the cost y for x days (1 ≤ x ≤ 12)? A) y = 300x - 150 B) y = 300x + 150 C) y = 150x + 300 D) y = 150x + 150

Question 16

For groups of 30 or more, a museum charges $25 for the first 30 and $15 for each additional person. Which function gives the total charge for n people (n ≥ 30)? A) f(n) = 15n + 300 B) f(n) = 15n + 750 C) f(n) = 40n - 450 D) f(n) = 15n + 25

Question 17

The cost of renting a carpet cleaner is $60 for the first day and $30 for each additional day. Which function gives the cost C(d) for d days? A) C(d) = 30d + 30 B) C(d) = 30d + 60 C) C(d) = 60d - 30 D) C(d) = 60d + 90

Question 18

The table gives energy amounts per gram for macronutrients. If 200 calories come from p grams protein, f grams fat, and c grams carbohydrate, which expresses f in terms of p and c?

Macronutrient	Food calories
Protein	4.0
Fat	9.0
Carbohydrate	4.0

A) f = 22.2 + (4/9)(p + c) B) f = 22.2 - (4/9)(p + c) C) f = 22.2 - (4/9)(p - c) D) f = 22.2 + (9/4)(p + c)

Question 19

For the function f, if f(4x) = x - 8 for all x, what is f(8)? A) -8 B) -6 C) 0 D) 4

Question 20

The function g is defined by g(x) = b - 20x. If g(c + 8) = c/5, which expression represents b? A) 20c/5 B) 24c/5 + 8 C) 84c/5 + 160 D) 20c + 160

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