Math I
EOC Algebra Review
1. A system of equations is shown below.
5x = 4y + 28
–
2y = 7x − 24
What is the x-value in the solution to
the system.
A.
–
2
B. 2
C. 4
D. 6
2. What value of x satisfies the equation
px + 3 = k?
A.
Name: _______________________
5. Which expression is equivalent to
14x2 − 29x − 15?
A. (2x + 5)(7x − 3)
B. (2x − 5)(7x + 3)
C. (14x + 5)(x − 3)
D. (14x − 5)(x + 3)
6. A pizza restaurant has fixed expenses of
$1,000 per week plus ingredient costs of
$2.25 per pizza. The restaurant sells a
pizza for $10.25. How many pizzas does
the restaurant need to sell each week for
it to break even?
A. 98 pizzas
B.
B. 125 pizzas
C.
D.
f(x) = 3x
g(x) = –2x + 13
For which x-value does f(x) = g(x)?
3. Given:
C. 444 pizzas
D. 1,281 pizzas
7. What are the zeros of the function
defined by 2x2 + 7x + 3?
A.
A.
B.
B.
C.
D.
4. Which system has no solution?
A. y < 2x + 4
2x − 2y > 10
B. y < x
2x − y > 3
C. y < x + 2
y>x–2
D. y < x + 1
y>x+3
C.
D.
8. Which linear equation would intersect
the exponential function f(x) = 3x at the
points (3, 27) and (1, 3)?
A.
g(x) =
x–6
B. g(x) = 12x – 9
C. g(x) = 3x
D. g(x) = x – 2
9. Screen Image Printing charges a setup fee of
$30 plus $8 per shirt to have custom shirts
made. In addition, a 7% sales tax is charged
on the total order. Which equation models
the total charge, T, for an order of n shirts,
n > 0?
A. T = 8.07n + 30.07
B. T = 8.56n + 32.10
C. T = 0.07(8.00n + 30.00)
D. T = 0.07n(8.00 + 30.00)
10. Marcus is making lanyards and key chains
in his school colors.
 Each lanyard requires 14 inches of blue
cord and 8 inches of gold cord.
 Each key chain requires 6 inches of blue
cord and 4 inches of gold cord.
 Marcus has 216 inches of blue cord and
128 inches of gold cord.
Which is a viable solution for the number of
lanyards and key chains Marcus could
make?
12. Which expression is equivalent to
16x2 – 9y2?
A. (4x – 3y)2
B. (4x + 3y)2
C. (4x + 3y)(4x – 3y)
D. (16 – 9)(x – y)2
13. In 2012, the yearly cost to attend a college
was $1,980.50. The college predicts the
yearly cost will increase by $130 each year
after 2012. In what year will the tuition and
fees first exceed $2,500?
A. 2015
B. 2016
C. 2017
D. 2018
14. What is the perimeter of a rectangle with a
length of (4x2 − x + 3y) and a width of
(2x + 7y)?
A. 12 lanyards and 8 keychains
A. 4x2 + x + 10y
B. 13 lanyards and 7 keychains
B. 4x2 − 2x + 21y
C. 14 lanyards and 6 keychains
C. 6x2 + x + 10y
D. 15 lanyards and 5 keychains
D. 8x2 + 2x + 20y
11. Sam buys a van that costs $25,200. The
value of the van depreciates at a rate of 7%
every year. Which equation can be used to
calculate the value of the van, V, after x
years?
15. A plumber gave an estimate for the
renovation of a bathroom. The parts will
cost $1,199 and his hourly pay is $46 per
hour. His total estimate is $1,843. How
many hours does the plumber expect the job
to take?
A. V = 25,200(1.93)x
A. 10 hours
B. V = 25,200(1.07)x
B. 14 hours
C. V = 25,200(0.93)x
C. 20 hours
D. V = 25,200(0.70)x
D. 26 hours
16. A bakery sells cakes for $18 each and
pies for $15 each. Last weekend the
bakery sold 118 total items and earned
$1,932. How many pies were sold last
weekend?
A. 23
B. 54
C. 64
D. 82
20. The Jones ice cream shop makes
chocolate ice cream, x, and vanilla ice
cream, y.
 The shop can make a maximum of
100 gallons of ice cream each day.
 At least 25 gallons of chocolate ice
cream and 60 gallons of vanilla ice
cream are needed each day to sell.
Which system of inequalities represents
the constraints?
A.
17. What are the zeros of the function
defined by 6x2 + 4x – 32?
B.
A.
C.
B.
C.
D.
D.
18. Which coordinate is not on the graph of the
equation
?
21. Which expression is equivalent to
a2 + 2a − 8?
A. (a + 2)(a − 4)
A. (–5, –25)
B. (a + 4)(a − 2)
B. (–2, –19)
C. (a + 1)(a − 8)
C. (3, –11)
D. (a − 1)(a + 8)
D. (6, –3)
22. What is the value of q if
4 + Rq = 4q + 12?
19. Which point lies on the graph of
3x – 4y = 12?
A. (–8, 10)
–
A.
B.
–
B. ( 4, 6)
C. (0, 3)
C.
D. (1, –3)
D.
23. Sarah earned $1,500 this summer. She
mowed lawns for $15 per lawn and
babysat for $20 per hour. Which
equation represents her earnings from
mowing x lawns and babysitting y
hours?
25. How many ounces of a 12% salt solution
should be mixed with an 18% salt solution
to produce 40 ounces of a 16% salt
solution?
A.
A. 1,500 = xy(15 + 20)
B. 1,500 = 5(x + y)
B.
C. 1,500 = 15x + 20y
D. 1,500 = 35(x + y)
C.
24. Susan wants to make cupcakes and cookies
to sell at the school bake sale.
 It takes her 30 minutes to make a dozen
cookies and 1 hour to make a dozen
cupcakes.
 It costs her $3 to buy supplies for each
dozen cookies and $4 to buy supplies
for each dozen cupcakes.
 She has 14 hours available to cook and
has $50 to spend on supplies.
 She will make at least 1 dozen cookies
and 1 dozen cupcakes.
Which system of inequalities models these
constraints?
A. 0.5x + y ≤ 50
3x + 4y ≤ 14
x≥1
y≥1
B. 0.5x + y ≤ 50
4x + 3y ≤ 14
x≥1
y≥1
C. 0.5x + y ≤ 14
3x + 4y ≤ 50
x≥1
y≥1
D. 0.5x + y ≤ 14
4x + 3y ≤ 50
x≥1
y≥1
D.