EOCT Practice-Coordinate Algebra
1. Jacob needs less than 5 C's on his transcript to qualify for UGA. He already has 1 C. At most, how many more C's
can he get before he won't be able to go to UGA? Write an inequality and solve.
A) x + 1 ≤ 5; x ≤ 4
B) x + 1 ≥ 5; x ≥ 4
C) x + 1 < 5; x < 4
D)x + 1 > 5; x > 4
2. A printing company uses the formula C = 0.5x + 10 to find the cost of printing x business cards. Which equation
correctly solves the formula for x?
A) x = 2C - 20
B) x = -2C + 20
C) x =
𝐶 + 10
0.5
D) x =
𝐶 − 0.5
10
3. The amount of paint a painter needs is directly proportional to the area of the object he is painting. If a painter
needs g gallons of paint for every s square feet that he paints, what is the total amount of paint that he needs to
paint a house in terms of g and s?
A) gs
B) g - s
C) g + s
D)
𝑔
𝑠
4. Michael and Minnie are gathering coats for a coat-drive at their school. Minnie gathers 3 times as many coats as
Michael and together they have 52 coats. How many coats did Michael contribute?
A) 13
B) 15
C) 39
D) 41
5. Alex belongs to a music club. Club membership entitles him to buy a discount card for $19.95. The card allows
him to buy CDs for $3.95 each. After one year, Alex has spent $63.40. How many CDs did he buy?
A) 9 CDs
B) 10 CDs
C) 11 CDs
D) 12 CDs
6. According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's
population increases at a rate of 80 people a year and Holly Spring's population increases by 120 people a year.
Which equation may be used to determine the number of years before the populations are equal?
A) 200x = 10920
B) 7720 + 12x = 3200 + 80x
C) 7720x + 80 = 3200x + 120
D) 7720 + 80x = 3200 + 120x
7. Aaron was watching a bike race. Every second, x, he recorded how many bikes, y, crossed the finish line. Which
equation shows the relationship between the time and the number of bikes that cross during that time?
x
1
2
3
4
5
A) y = 2x
C) y = x + 2
B) y = 3x
D) y = x – 2
y
2
4
6
8
10
8. Which situation could be represented by a linear function?
A)For every car I sell, my daily salary doubles.
B)For every car I sell, my daily salary increases by 2%.
C)For every car I sell, I earn a commission of $200 per car.
D)For every car I sell, I earn a commission of 5% of the sale price.
9. Solve.
A)
𝑥
4
=7
4
7
C) 11
7
B) 4
D) 28
10. Solve the system of equations:
3x + 2y = 2
-2x + y = 8
A) (-2,4)
B) (4,-2)
C) (-4,-2)
D) ( 4 , - 2 )
5
1
11. Which equation corresponds to the function described in the table?
x
0
1
2
3
4
A) y = x - 7
C) y = x - 1
y
-7
-4
-1
2
5
B) y = x - 3
D) y = 3x – 7
12. A city had population 67,255 on January 1, 2000, and its population has been increasing by 2935 people each
year since then. A linear model for the population P, where t is in years after 2000, is
A) P(t) = 2935t.
B) P(t) = 67255t.
C) P(t) = 2935 + 67255t.
D)P(t) = 67255 + 2935t.
13. Sally is saving money to buy a new computer. The computer costs $689. She has saved $125, and each week she
adds $25 to her savings. Assuming that she deposits her money once a week, how many weeks will it take her to
save enough money to buy the computer?
A) 22 weeks
B) 23 weeks
C) 24 weeks
D)25 weeks
14. The slope of a roof is called the pitch, and it is found the same way as slope. What is the pitch of a roof that has
a height of 9 ft and a horizontal run of 7?
2
A) 3
C)
7
9
3
B) 2
D)
9
7
15. Two sisters, Allie and Bonnie are saving money for a trip to Europe. Allie has $1500 and adds $500 each month
to this amount. Bonnie has $2300 and adds $400 each month to this amount. How many months must Allie save
to exceed the amount of money that Bonnie has saved?
A) 6 months
B) 7 months
C) 8 months
D) 9 months
16. Ilya took one hour to drive from his apartment to Philips Arena and back. The return drive took 8 minutes less
than the trip to the arena. If x represents the time it took Ilya to drive from his apartment to the arena, which
equation would you use to determine how long he drove each way?
A) x - 8 = 1
B) 2x - 8 = 1
C) x - 8 = 60
D) 2x - 8 = 60
17. Which equation represents the data in the table shown?
x y
0 3
1 1
2 -1
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x – 3
18. Graph the solution set: x < 0.
A)
B)
C)
D)
19. Mark, Taylor, & Brian's ages are consecutive whole numbers. Mark is the youngest, and Brian is the oldest. The
sum of their ages is 111. How old is Brian?
A) 35 years old
B) 36 years old
C) 37 years old
D) 38 years old
20. Jessica has 5 members in the sewing club that she started. In order to get school sponsorship she must have at
least 30 members. How many more members does she need?
Write an inequality that models this situation.
A) 5 + x ≥ 30
B) 5 + x ≤ 30
C)30 + x ≥ 5
D) 30 + x ≤ 5