Name:    Algebra 1 - Chapter 6 Practice Test

1

Tell whether the ordered pair (5, –3) is a solution of the system .
 A no B yes

2

Solve: A C B D 3

The Fun Guys game rental store charges an annual fee of \$20 plus \$6.50 per game rented. The Game Bank charges an annual fee of \$40 plus \$4.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost?
 A 9 games; \$79 C 12 games; \$98 B 2 games; \$33 D 10 games; \$85

4

Solve by substitution. What is the value of y?
 A C 1 B 5 D 5

Solve by substitution. Express your answer as an ordered pair.
 A (8, –4) C (–2, 4) B (4, –8) D (4, 8)

6

Janice is going on vacation and needs to leave her dog at a kennel. Nguyen’s Kennel charges \$15 per day plus \$20 for a processing fee. The Pup Palace Kennel charges \$12 per day, and has a \$35 processing fee. After how many days is the Pup Palace Kennel cheaper than Nguyen’s Kennel?
 A The Pup Palace Kennel is always cheaper than Nguyen’s Kennel. B The Pup Palace Kennel is never cheaper than Nguyen’s Kennel. C The Pup Palace Kennel is cheaper than Nguyen’s Kennel after 15 days. D The Pup Palace Kennel is cheaper than Nguyen’s Kennel after 5 days.

7

Solve by elimination. Express your answer as an ordered pair.
 A (–2, –3) C (0, –2) B (–2, 0) D (–8, –6)

8

Solve by elimination. What is the value of y?
 A –11 C –2 B 32 D 9

9

Solve by elimination. What is the value of x?
 A 5 C B 3 D –2

10

At the local pet store, zebra fish cost \$2.10 each and neon tetras cost \$1.85 each. If Marsha bought 13 fish for a total cost of \$25.80, not including tax, how many of each type of fish did she buy?
 A 7 zebra fish, 6 neon tetras C 6 zebra fish, 7 neon tetras B 8 zebra fish, 5 neon tetras D 5 zebra fish, 8 neon tetras

11

How many solutions does the following system have? A This system has exactly one solution. B This system has no solutions. C This system has infinitely many solutions.

12

How many solutions does the following system have? .
 A This system has no solution. B This system has exactly one solution. C This system has infinitely many solutions.

13

Elena and her husband Marc both drive to work. Elena’s car has a current mileage (total distance driven) of 9,000 and she drives 18,000 miles more each year. Marc’s car has a current mileage of 60,000 and he drives 7,000 miles more each year. Will the mileages for the two cars ever be equal? Explain.
 A No; The equations have different slopes, so the lines do not intersect. B No; The equations have equal slopes but different y-intercepts, so the lines do not intersect. C Yes; The equations have different y-intercepts, so the lines intersect. D Yes; The equations have different slopes, so the lines intersect.

14

Tell whether (8, 5) is a solution of .
 A No, (8, 5) is not a solution of . B Yes, (8, 5) is a solution of .

15

Tell whether (5, 6) is a solution of .
 A No, (5, 6) is not a solution of . B Yes, (5, 6) is a solution of .

16

Tell whether (2, 7) is a solution of .
 A No, (2, 7) is not a solution of the system. B Yes, (2, 7) is a solution of the system.

17

Write an inequality to represent the graph. A y ³ –4x + 2 C y > –4x + 2 B y > 2x – 4 D y < –4x + 2

18

Find the x- and y-intercepts of .
 A x-intercept: , y-intercept: 4 C x-intercept: –8, y-intercept: B x-intercept: , y-intercept: D x-intercept: –8, y-intercept: 4

19

Find the slope of the line that contains and .
 A C B D 20

Find the slope of the line described by x – 3y = –6.
 A C B D 