AFDA Review of Equations
Identify the choice that best completes the statement or answers the question.
____
1.
Which expression correctly represents the area of the rectangle above?
a. x² + 2
____
b. 6(x + 2)
b. -1
4. If f(x) =
b. 7
b. 14
c. 27
d. 2
b. 1,936,000
c. 2,970
d. 4,070
b. 14 in
c. 176 in
d. 8 in
c. 36
d. 18
7. What is the value of x(5 + y) if x = 4 and y = 2?
a. 22
____
d. 19
6. A rectangle has a perimeter of 60 inches and length of 22 inches. What is the width of the rectangle?
a. 164 in
____
c. 29
5. Using the distance formula, d = rt, what is the value of t when d = 3,520 and r = 550?
a. 6.4
____
d. 2
, what is f(12) ?
a. 8
____
c. 3
3. Using the function machine in the diagram, what is the output when 12 is input?
a. 8.5
____
d. 8x
2. Using the same relationship between x and y as the table, what is the value of y when x is 8?
x
y
0
-5
2
-3
-2
-7
4
-1
-4
-9
a. 5
____
c. (x + 2)(x + 6)
b. 28
8. During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many
of each did she sell?
a. 45 cars, 24 trucks
b. 42 cars, 27 trucks
c. 35 cars, 34 trucks
d. 48 cars, 21 trucks
AFDA Review of Equations
____
9. Mary published her first book. She was given $10,000.00 and an additional $0.10 for each copy of the book
that sold. Her earnings, d, in dollars, from the publication of her book are given by
d = 10,000 + 0.1n
where n is the number of copies sold. During the first year Mary earned $35,000.00 from the publication and
sale of her book. How many copies of her book sold in the first year?
a. 25,000
b. 250,000
c. 350,000
d. 35,000
____ 10. Victor bought a computer for $1,800. He made a down payment of $200 and will pay the rest in 5 equal
payments. If p represents the amount of each payment, which equation can be used to find this amount?
a. $200p = $1,800
b. $1,800 = 5p + $200
c.
d.
$1,800 + 5p = $200
$1,800 + $200 = 5p
____ 11. Ben’s Bakery charges a fee of 2d + 25 to deliver d boxes of baked goods while Dan’s Bakery charges 3d +
20. Which expression describes how much more Dan’s Bakery charges than Ben’s Bakery?
a. d + 5
b. 5d + 45
c. -d + 5
d. d - 5
____ 12. Which equation most likely describes the relation indicated by the table?
x
y
0
4
3
1
6
-2
a. y = x + 4
b. y = -x + 4
c. y = x - 2
d. y = -x - 8
____ 13. The table shows the relationship between the cost, c, in dollars of a taxi ride and the number, t, of minutes the
ride lasts.
t
c
5
4.75
10
6.5
15
8.25
20
10
Which equation algebraically represents this data?
a. c = 2.75 + 0.5t
b. c = t - 0.25
c. c = 3 + 0.35t
d. c = 4 + 0.15t
____ 14. Kristy is making a rectangular quilt that is 2 feet longer than it is wide. If the perimeter of the quilt is to be
32 feet, what will be its dimensions?
a. 15 ft by 17 ft
b. 5 ft by 7 ft
c. 4 ft by 8 ft
d. 7 ft by 9 ft
AFDA Review of Equations
____ 15.
Using the function machine from the diagram, what is f(10)?
a. 7.5
b. 25
c. 5
d. 15
____ 16. Each week Jessica earns a 2% bonus on any sales she makes over $600. She also receives a fixed salary of
$190 per week. If Jessica sold $1300 work of merchandise in a week, which equation could be used to
determine her total earnings, t, for the week?
a.
c.
b.
d.
____ 17. Which expression correctly describes x divided by the sum of y and 7?
a.
b.
c.
d.
c. 7
d. 0
c.
d.
c. 12
d. -6
____ 18. Which is a zero of the function f(x) = 3x - 21?
a. -7
b. -21
____ 19. What is the solution to
a. 18
?
b. 10
____ 20. What is the value of 3x² - y² if x = -1 and y = 3?
a. -3
b. -12
____ 21. Which expression correctly represents $10 less than twice the cost, c?
a. 10 - 2 + c
b.
c. 2c - 10
d. 10 - 2c
____ 22. Jill was looking a picture of herself and 3 friends. She measured the height of her image as 10 centimenters.
If Jill is acutally 60 inches tall, which equation can she use to find h, the actual height in inches, of one of her
friends who is c centimeters tall in the picture?
a. h = 6c
b.
c. h = 10c
d.
AFDA Review of Equations
____ 23. What is the solution to
a. -14
?
b. 14
____ 24. Which equation fits the data in the table?
x
y
a.
b.
c. 34
-1
-3
0
-1
d. -34
1
1
c.
2
3
d.
____ 25. A consulting engineer bills his customers $90 for each hour he works. If a clients bill is $955, which
equation could be used to find the number of hours worked?
a.
b.
c.
d.
c. 16
d. -20
____ 26. If f(x) = -2x2 + x - 5, what is f(3)?
a. 34
b. -14
____ 27. The graph of the function f(x) = -3x + 3 is shown.
What is the value of f(3)?
a. -2
b. -6
c. 0
d. 3
____ 28. The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 275
words in 5 minutes, how long would it take her to type 1,100 words?
a. 15 minutes
b. 4 minutes
c. 220 minutes
d. 20 minutes
AFDA Review of Equations
____ 29. The table gives the average per capita income, d, in a region of the country as a function of the percent
unemployed, u.
u
d
1
2
3
22,500 22,000 21,500
4
21,000
Which equation represents this data algebraically?
a.
b.
c.
d.
____ 30. Ron paid $75.00 for 5 compact disks and a case. If the price of each compact disk was $12.60, what was the
price of the case?
a. $12.00
b. $15.00
c. $63.00
d. $12.50
____ 31. What is the perimeter of the triangle shown in the drawing?
a.
b.
c.
d.
____ 32. Trinas paycheck earnings, p, varies directly as the number of hours, h, she works. If she works 19 hours and
earns $187.15, what should she earn if she worked 40 hours?
a. $394.00
b. $512.20
c. $443.25
d. $472.80
c.
d.
____ 33.
When the input is
a.
, what is the output?
b.