ID: A
Algebra EOC Practice Test #1
(Please be aware that when printing your results some items may overlap and/or be distorted.)
1. What is the slope of the given equation? 4y ! 3 = 2x
A) 2
B)
-2
1
2
C)
D) !
1
2
2. The formula for the perimeter of a rectangle is P = 2l + 2w, where l is the length and w is the width. What is
the equation solved for w?
A) w = 4Pl
B)
w=
P ! 2l
2
C) w = P ! 2l
D) w =
P + 2l
2
3. The graph below shows the relationship between the number of Fun Pass tickets sold and the total value of
the sales. What is the slope of the line graphed?
1
ID: A
4. Anna is paid time and a half for all hours over 40 worked each week. The table shows her total earning for
each of the last 4 weeks.
The total earnings, T ( h ) , that Anna earns in a week if she works h hours of overtime is given by the equation
T ( h ) = 480 + 18h. If Anna earned $750 for one week, what was the total number of overtime hours she
worked that week?
5. What is the simplified form of the quotient?
240
3
A) 2
5
B)
4
5
C) 2
120
D) 16
5
6. Butch starts peeling potatoes at the rate of 3 potatoes per minute. Four minutes later Janet joins him and
peels at the rate of 5 potatoes per minute. Eventually Janet catches up to Butch. The equation below can be
used to model this situation, where x represents the amount of time in minutes that Butch has been peeling.
3x = 5 (x ! 4)
How many potatoes has Butch peeled when Janet catches up?
2
ID: A
7. Which equation is represented by the graph?
2
y = 3x + 2x ! 8
A)
C)
B)
D)
ˆ2
ÁÊ
2 4˜
8. The expression ÁÁÁ 16x y ˜˜˜ is equivalent to which of the following?
Ë
¯
A) 256x4 y6
B)
256x4 y8
C) 32x4 y6
3
D) 32x4 y5
ID: A
9. If x " 0 and y " 0, which of the following is a simplified version of the expression below?
2
5 2
8x y ! 10x y
2xy
4
A) 4y ! 5x y
B)
C)
4
4x ! 5x y
3
4xy ! 5x y
4 2
D) 4x ! 5x y
10. Pizza Pizzazz sells Pizza Slices for $2.50 each and Pizza Pockets for $3.50 each. During lunch, the restaurant
sold 35 more pizza slices than pizza pockets and made $825.50. The set of equations below represents the
situation where x is the number of pizza slices sold and y is the number of pizza pockets sold.
x = y + 35
2.50x + 3.50y = 825.50
What is the number of pizza slices that were sold?
4
ID: A
11. What is the graph of the equation y + 3 = 2 ( x + 3 ) ?
A)
C)
B)
D)
2
12. A rock falls from a cliff 125 meters above the ground. The equation h = 125 ! 5t represents the height (h)
of the rock after t seconds. How many seconds does it take for the rock to land on the ground?
13. A car is traveling from Pensocola to Key West, a distance of about 792 miles. If the car travel at a rate of 60
miles per hour, which equation describes its distance from Key West after x hours?
A) y = 792 + 60x
C)
B)
D) y = 60 ! 792x
y = 792 ! 60x
y = 60 + 792x
5
ID: A
14. Which expression is equivalent to the perimeter of the rectangle below?
2
C)
2
D) 9a + 1
A) 20a + 7a ! 6
B)
20a ! 6
18a + 2
3
15. Which of the following expressions is equivalent to 2x ! 18x.
A) 2x (x + 3) 2
B)
150
ÊÁÁ 2
ˆ˜˜
Ë
¯
D) 2x ÁÁÁ x + 9 ˜˜˜
Á
˜
2x(x + 3)(x ! 3)
27 +
16. Simplify the following expression:
A)
ÊÁÁ 2
ˆ
ÁÁÁ x + 6 ˜˜˜˜˜ (x ! 3)
˜
ÁË
¯
C)
5
B)
48 +
6
C) 12
75 .
3
D) 50
17. Which of the following expressions is equivalent to the expression below?
2
3
2
2
(3x y ! 12xy z) + 6x y z
Ê
ˆ
2
A) 3xy ÁÁÁÁ x ! 4y z + 2xyz ˜˜˜˜
Ë
¯
Ê
ˆ
2
Á
B) 3xyz ÁÁÁ x ! 4y z + 2xyz ˜˜˜˜
Ë
¯
Ê
ˆ
2
3xy ÁÁÁÁ xy ! 4x z + 2xyz ˜˜˜˜
Ë
¯
Ê
ˆ
2
Á
˜
D) 3xy ÁÁÁ x + 4y z + 2xyz ˜˜˜
Ë
¯
C)
6
3
ID: A
18. Ramon is adding water to his swimming pool. The graph below shows the amount of water in the pool as more
water is added.
Which statement best expresses the meaning of the slope?
A) the additional gallons of water added per minute
B)
the total time needed to fill the pool
C)
the amount of water in the pool before more water was added
D) the total amount of water needed to fill the pool
19. Simplify the following expression: 5
A) 2
9b
A) 4
B)
2
21. If k
2
51b
B)
2(
20. Multiply
12b ! 3
14 +
C) 6
b
D) 7
3b
10 ) and write the product in simplest form.
12
7 +2
3b . Assume b a positive number.
5
C)
48
D)
7 +
5
+ 6k ! 27 " 0 which of the following shows the expression below in simplest form?
3k ! 9
.
2
k + 6k ! 27
A)
k!3
2
k + 2k ! 9
B)
3
k+3
3
k+9
C)
7
D)
1
k+1
ID: A
22. Julie is required to pay a 2% state income tax on all income over $3,000. In addition to the 2% tax, she must
pay an extra 2.5% state income tax on all income over $20,000.
Assuming that Julie earned over $20,000 last year, which equation could be used to calculate the total amount
of taxes paid, t , based on Julie’s total income, x?
A) t = 2 ( x ! 3000 ) + 2.5 ÊÁË x ! 20, 000 ˆ˜¯
B)
t = 0.02 ( x + 3000 ) + 0.025 ÊÁË x + 20, 000 ˆ˜¯
C)
t = 0.02 ( x ! 3000 ) + 0.025 ÊÁË x ! 20, 000 ˆ˜¯
D) t = 2 ( x + 3000 ) + 2.5 ÊÁË x + 20, 000 ˆ˜¯
23. What are the solutions to the equation (4x + 2)(3x + 2) = 0?
A) x =
B)
1 2
,
2 3
x = 2,
C)
3
2
x = !2, !
D) x = !
3
2
1
2
,!
2
3
24. What is the slope of the line that is parallel to the given line x + 3y = 6
25. What is the equation of a line that has a slope of
1
x+3
2
1
y =
x+4
2
1
x+2
2
1
D) y =
x
2
A) y =
B)
1
and goes through the point (2, 4)?
2
C)
y =
26. Use integer coefficients. What is the standard form of the equation below?
y=
5
x!4
3
A) 5x + 3y = !12
C)
5x ! 3y = !4
B)
D)
5x ! 3y = 12
5x + 3y = !4
8
ID: A
2
27. Divide: (10y + 6y) ÷ (2y)
A)
5 +3
y
B)
2
5y + 3
C) 5y + 3y
D) 5 +
3
y
2
28. What is the solution set of the equation? 2x ! x ! 3 = 0
A)
ÏÔÔ
¸Ô
Ô ! 3 , 1 ÔÔ
ÔÌÔ 2 Ô˝Ô
ÔÓ
Ô˛
B)
ÏÔÔ
¸Ô
Ô ! 2 , !1 ÔÔ
ÔÌÔ 3
Ô˝Ô
ÔÓ
Ô˛
C)
ÏÔÔ
Ô !1, 3
ÔÌÔ
2
ÔÓ
¸ÔÔ
Ô
Ô˝Ô
Ô˛
D)
ÏÔÔ
¸Ô
Ô 2 , 1 ÔÔ
ÔÌÔ 3 Ô˝Ô
ÔÓ
Ô˛
D)
8
3
29. What is the solution of the equation below?
w + 14
3
=
4w + 6
4
30. What is the x-intercept of the function represented by y =
A) -2
B)
!
8
3
C) 2
3
x + 2?
4
31. What is the x-coordinate of the point at which the line below intersects the x-axis?
9
ID: A
32. Use the Venn diagram below. How many students did NOT participate in baseball?
33. Sandra owns her own bagel shop. She charges $3.00 for 2 bagels and one coffee, and $4.80 for three bagels and
two coffees. How much does Kendra charge for each bagel and each coffee?
A) $0.60 per bagel; $1.20 for coffee
C)
B)
D) $1.20 per bagel; $1.20 for coffee
$1.20 per bagel; $0.60 for coffee
$0.60 per bagel; $0.60 for coffee
34. The rectangles below are similar, what is the value of x.
A) !
1
2
B)
-2
C)
1
2
D) 2
35. The set of ordered pairs shown below defines a relation
ÏÔ
¸Ô
ÔÌÓ (0, 2), (!3, 6), (4, 8), (2, 5), (!2, 4) Ô˝˛
What is the value of the smallest elmement in the domain of the relation?
10
ID: A
36. Which expression is equivalent to (6a 3 b 5 )(7ab8 )?
A) 13a 3 b 1 3
B)
13a 4 b 1 3
C) 42a 4 b 1 3
D) 42a 3 b 4 0
37. Let set M represent the months of the year.
M=
ÏÔ
¸Ô
ÔÌÓ Jan, Feb, Mar, April, May, June, July, Aug, Sept, Oct, Nov, Dec Ô˝˛
Let set D represent the days of the week.
ÏÔ
¸Ô
D = ÌÔ Mon, Tues, Wed, Thur, Fri, Sat, Sun ˝Ô
Ó
˛
What is the total number of elements in the set M # D
A) 7
B)
12
C) 19
D) 84
38. Let A = {3, 5, 7, 8, 10} and B = {5, 6, 7, 8, 9} be two sets in the universe U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Find $ (A % B) in universe U.
A) {3 ,6, 9, 10}
C)
B)
D) {1,2,4}
{1, 2, 3, 4, 6, 9, 10}
{5, 7,8}
11
ID: A
39. What is the graph of the equation? x = !3
A)
C)
B)
D)
1
the
2
number of points she scored in the first half of the game. Altogether, she scored 21 points in the game. The
following equation represents this situation where p represents the number of points Leah scored in the first
half.
40. Leah scored p points in the first half of the basketball game. In the second half, she scored 3 more than
ÊÁ 1
ˆ˜
p + ÁÁÁÁ p + 3 ˜˜˜˜ = 21
ÁË 2
˜¯
How many points did Leah score in the first half?
A) 6
B)
9
C) 12
12
D) 18
ID: A
41. Sets X, Y, and Z are shown below.
X = {4, 6}
Y = {3, 6, 9}
Z = {1, 2, 3, 4, 5}
How many elements are in the set ( X % Z) & Y ?
42. Simplify the quotient
A)
15
2
15
2
B)
.
30
2
C)
15
2
13
D)
2
30
ID: A
43. What is the graph of y = x2 + 2x + 3?
A)
C)
B)
D)
44. How many square units greater is the area of Figure 1 than the area of Figure 2?
14
ID: A
45. George simplified the expression below.
ÊÁ !5 ˆ˜ ÊÁ
ˆ
ÁÁ 2p q ˜˜ ÁÁ !3p 2 q !1 ˜˜˜ .
ÁË
˜¯ ÁË
˜¯
m
n
His final anwer was in the form p q . If he simplified the expression correctly, what was the value of the m ,
the exponent of p?
46. What is the solution set of the equation? Round to the nearest hundreth if necessary.
2
3y + 4y ! 2 = 0
ÔÏ
Ô¸
ÔÏ
Ô¸
ÔÏ
Ô¸
ÔÏ
Ô¸
B) ÌÔ 0.39, !1.72 ˝Ô
C) ÌÔ !1, !2.33 ˝Ô
D) ÌÔ !0.39, !1.72 ˝Ô
ÌÔ 1, 2.33 ˝Ô
Ó
˛
Ó
˛
Ó
˛
Ó
˛
47. Anne earns $7 an hour working at Vampire Audios. Each week, 10% of her total pay is deducted for taxes. If
Anne wants her take-home pay to be at least $210 a week, solve the inequality 7m ! 0.1 ( 7m ) ' 210 to
determine how many hours she must work.
A)
A) m > 33
B)
m < 34
C) m ' 33
15
1
3
D) m ( 34
1
3
ID: A
48. As part of her science project, Annika has graphed morning temperatures for a 30-day period and connected
them with line segments. In the graph below, the horizontal axis is measured in days and the vertical axis is
measured in degrees Celsius.
Based on the graph, which of the following best describes the range of the temperatures for this 30-day
period?
A) 0 ( x ( 30
B)
15 ( y ( 30
C) 15 ( x ( 22
49. What is the equation of the line that goes through the given points?
(–3, 1), (6, 4)
1
x+2
3
1
y =
x+1
6
A) y =
C)
y = !3x + 1
B)
D) y = 6x + 4
50. Which graph represents the solutions of p + 1 < !1 OR p ! 5 > 7?
A)
C)
B)
D)
16
D) 10 ( y ( 22
ID: A
51. Mathew has 20 DVDs. Susie has 12 more than
3
of the number of DVDs that Matthew has. How many DVDs
4
does Susie have?
A) 28
B)
27
C) 24
D) 20
52. Jim works as a salesperson for a local marketing company. Using the equations shown below, the company
calculates his monthly earnings based upon his total sales for the month.
MONTHLY EARNINGS EQUATIONS
Total Sales for the Month
Earnings Equation
(s in dollars)
E =1, 600 +0.1s
s ($5, 000
E =1, 600 +0.1s+0.15(s!5, 000)
s >$5, 000
where:
E represents total monthly earnings before taxes and withholding
s represents the dollar amount of his total sales
Joe’s total sales were greater than $5,000 in October. If his total monthly earnings for October were $4,500
what was the dollar value of his total monthly sales, s ?
53. As the diameter of the trunk of a tree grows, the more branches it can support. The table below shows the
number of branches for trees of several diameters.
Diameter
(in inches)
4
Number of
branches
10
8
20
12
30
16
40
20
50
Which equation represents the number of branches, b, as a function of the diameter of the tree, d?
A) b = 0.25d
B)
b = 0.5d
C) b = 2.5d
17
D) b = 5d
ID: A
54. What is the equation, in slope-intercept form, of the function shown in the graph?
A) y = x
B)
y = x
2
C) y = !x
18
D) y = 2x
ID: A
Algebra EOC Practice Test #1
Answer Section
1. ANS: C
REF: MA.912.A.3.9
2. ANS: B
REF: MA.912.A.3.3
3. ANS: 10/50 or 20/100 or 5/25 or 2/10 or 1/5 or 0.2
REF: MA.912.A.3.9
4. ANS: 15
STA: MA.912.A.3.9
STA: MA.912.A.3.3
STA: MA.912.A.3.9
REF: MA.912.A.2.3
STA: MA.912.A.2.3
5. ANS: B
REF: MA.912.A.6.2
STA: MA.912.A.6.2
6. ANS: 30
7.
8.
9.
10.
REF:
ANS:
ANS:
ANS:
ANS:
MA.912.A.3.1
STA: MA.912.A.3.1
C
REF: MA.912.A.7.1
STA: MA.912.A.7.1
B
REF: MA.912.A.4.1
STA: MA.912.A.4.1
B
REF: MA.912.A.4.4
STA: MA.912.A.4.4
158
REF: MA.912.A.3.14
11. ANS: D
REF: MA.912.A.3.8
12. ANS: 5
STA: MA.912.A.3.8
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
MA.912.A.7.2/MA.912.7.8
STA: MA.912.A.7.2/MA.912.7.8
B
REF: MA.912.A.3.5
STA: MA.912.A.3.5
C
REF: MA.912.A.4.2
STA: MA.912.A.4.2
B
REF: MA.912.A.4.3
STA: MA.912.A.4.3
C
REF: MA.912.A.6.2
STA: MA.912.A.6.2
A
REF: MA.912.A.4.3
STA: MA.912.A.4.3
A
REF: MA.912.A.3.11
STA: MA.912.A.3.11
D
REF: MA.912.A.6.2
STA: MA.912.A.6.2
B
REF: MA.912.A.6.2
STA: MA.912.A.6.2
C
REF: MA.912.A.4.3/MA.912.A.5.1
STA: MA.912.A.4.3/MA.912.A.5.1
C
REF: MA.912.A.3.5
STA: MA.912.A.3.5
D
REF: MA.912.A.7.2/MA.912.A.1.8
STA: MA.912.A.7.2/MA.912.A.1.8
-1/3
25.
26.
27.
28.
29.
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
MA.912.A.3.10
STA: MA.912.A.3.10
A
REF: MA.912.A.3.10
STA:
D
REF: MA.912.A.3.7
STA:
B
REF: MA.912.A.4.4
STA:
C
REF: MA.912.A.7.2
STA:
4.75 or 19/4 or 38/8
REF: MA.912.A.5.4
STA: MA.912.A.5.4
1
MA.912.A.3.10
MA.912.A.3.7
MA.912.A.4.4
MA.912.A.7.2
ID: A
30. ANS: B
31. ANS: -6
REF: MA.912.A.3.9
REF: MA.912.A.3.11
32. ANS: 16
STA: MA.912.A.3.9
STA: MA.912.A.3.11
REF: MA.912.D.7.2
STA: MA.912.D.7.2
33. ANS: B
REF: MA.912.A.3.15
STA: MA.912.A.3.15
34. ANS: C
REF: MA.912.A.5.4
STA: MA.912.A.5.4
35. ANS: -3
36.
37.
38.
39.
40.
41.
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
MA.912.A.2.4
C
REF:
D
REF:
B
REF:
B
REF:
C
REF:
4
STA: MA.912.A.2.4
MA.912.A.4.1
STA:
MA.912.D.7.1
STA:
MA.912.D.7.1
STA:
MA.912.A.3.8
STA:
MA.912.A.3.1
STA:
MA.912.A.4.1
MA.912.D.7.1
MA.912.D.7.1
MA.912.A.3.8
MA.912.A.3.1
REF: MA.912.D.7.1
STA: MA.912.D.7.1
42. ANS: B
REF: MA.912.A.6.2
STA: MA.912.A.6.2
43. ANS: C
REF: MA.912.A.7.1
STA: MA.912.A.7.1
44. ANS: 6
REF: MA.912.A.4.2
45. ANS: -3
46.
47.
48.
49.
50.
51.
52.
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
MA.912.A.4.1
B
REF:
C
REF:
D
REF:
A
REF:
A
REF:
B
REF:
14,600
STA: MA.912.A.4.2
STA: MA.912.A.4.1
MA.912.A.7.2
STA:
MA.912.A.3.4
STA:
MA.912.A.2.4
STA:
MA.912.A.3.10
STA:
MA.912.A.3.4
STA:
MA.912.A.3.5
STA:
MA.912.A.7.2
MA.912.A.3.4
MA.912.A.2.4
MA.912.A.3.10
MA.912.A.3.4
MA.912.A.3.5
REF: MA.912.A.3.5
STA: MA.912.A.3.5
53. ANS: C
REF: MA.912.A.2.3
STA: MA.912.A.2.3
54. ANS: A
REF: MA.912.A.3.10
STA: MA.912.A.3.10
2