Tell whether the ordered pair (1, -3) is a solution of the
system
.
a.
no
b.
yes
2. Solve the system
a.
b.
by graphing.
c.
d.
3. The Fun Guys game rental store charges an annual fee of $20 plus
$5.50 per game rented. The Game Bank charges an annual fee of $40
plus $3.50 per game. For how many game rentals will the cost be the
same at both stores? What is that cost?
a.
12 games; $86
b.
10 games; $75
c.
11 games; $81
d.
2 games; $31
4. If the pattern in the table continues, in what month will the number of
sales of CDs and movie tickets be the same? What number will that be?
Total Number
Sold
Month
1
2
CDs
700 685 670 655
Movie tickets
100 145 190 235
a.
Month
9;
580
b.
Month
10;
550
c.
Month
11;
550
d.
Month
8;
580
5. Solve
3
4
by substitution. Express your answer as an ordered
pair.
a.
(-8, -7)
b.
(11, -8)
c.
(-7, 8)
d.
(-8, 7)
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
5 days.
d.
The Pup Palace Kennel is cheaper than Nguyen’s Kennel after
15 days.
7. Solve
by substitution.
a.
b.
c.
d.
8. Solve
by elimination. Express your answer as an ordered
pair.
a.
(-4, 1)
b.
(0, -5)
c.
(0, -10)
d.
(-4, -8)
9.
Solve
pair.
by elimination. Express your answer as an ordered
a.
(5, 3)
b.
(2, 0)
c.
(
d.
,
)
(3, 5)
10. At the local pet store, zebra fish cost $1.80 each and neon tetras cost
$2.05 each. If Yumi bought 13 fish for a total cost of $24.40, not
including tax, how many of each type of fish did she buy?
a.
11 zebra fish, 2 neon tetras
b.
4 zebra fish, 9 neon tetras
c.
9 zebra fish, 4 neon tetras
d.
2 zebra fish, 11 neon tetras
11. The sum of the digits of a two-digit number is 8. If the number is
multiplied by 4, the result is 104. Write and solve a system of equations.
Find the number.
a.
The number is 17.
b.
The number is 35.
c.
The number is 18.
d.
The number is 26.
12. Solve
.
a.
This system has no solution.
b.
This system has infinitely many solutions.
c.
This system has exactly one solution.
d.
(2, 9) and (0, 0)
13. Classify
. Give the number of solutions.
a.
This system is consistent. It has infinitely many solutions.
b.
This system is consistent. It has one solution.
c.
This system is inconsistent. It has infinitely many solutions.
d.
This system is inconsistent. It has no solutions.
14. Elena and her husband Marc both drive to work. Elena’s car has a
current mileage (total distance driven) of 13,000 and she drives 18,000
miles more each year. Marc’s car has a current mileage of 54,000 and he
drives 18,000 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.
Yes; The equations have different y-intercepts, so the lines
intersect.
c.
No; The equations have equal slopes but different yintercepts, so the lines do not intersect.
d.
Yes; The equations have different slopes, so the lines
intersect.
15. Classify
.
a.
Inconsistent and independent system
b.
Inconsistent and dependent system
c.
Consistent and dependent system
d.
Consistent and independent system
16. An airplane travels 900 miles from Houston to Miami in 6 hours
against the wind. On its return trip, with the wind, it takes only 5 hours.
Find the rate of the airplane with no wind. Find the rate of the wind.
a.
The airplane flies at 155 mi/h with no wind. The rate of the
wind is 135 mi/h.
b.
The airplane flies at 165 mi/h with no wind. The rate of the
wind is 135 mi/h.
c.
The airplane flies at 155 mi/h with no wind. The rate of the
wind is 15 mi/h.
d.
The airplane flies at 165 mi/h with no wind. The rate of the
wind is 15 mi/h.
17.
A paint mixer wants to mix paint that is 15% gloss with paint that is 30%
gloss to make 6 gallons of paint that is 25% gloss. How many gallons of
each paint should the paint mixer mix together?
a.
The paint mixer should use 4 gallons of 15% gloss paint and 2
gallons of 30% gloss paint..
b.
The paint mixer should use 3 gallons of 15% gloss paint and 3
gallons of 30% gloss paint.
c.
The paint mixer should use 2 gallons of 15% gloss paint and 4
gallons of 30% gloss paint.
d.
The paint mixer should use 1 gallon of 15% gloss paint and 5
gallons of 30% gloss paint.
18.
The sum of the digits of a two-digit number is 12. When the digits are
reversed, the new number is 18 less than the original number. Find the
original number. Check your answer.
a.
The original number is 75.
b.
The original number is 84.
c.
The original number is 57.
d.
The original number is 93.
19. Tell whether (1, 2) is a solution of
.
a.
No, (1, 2) is not a solution of
b.
Yes, (1, 2) is a solution of
.
20. Tell whether (7, 2) is a solution of
.
.
a.
Yes, (7, 2) is a solution of
b.
No, (7, 2) is not a solution of
.
.
21. Tony has $12 to buy apples and bananas for a fruit salad. Apples cost
$2 per pound and bananas cost $1 per pound. Write and graph an
inequality to describe the situation. Then give two possible combinations
of pounds of apples and bananas that Tony can buy.
a.
2a + b ≥ 12; 2 pounds of apples and 6 pounds of bananas or
4 pounds of apples and 3 pounds of bananas.
b.
2a + b ≥ 12; 2 pounds of apples and 17 pounds of bananas or
4 pounds of apples and 16 pounds of bananas.
c.
2a + b ≤ 12; 2 pounds of apples and 17 pounds of bananas or
4 pounds of apples and 16 pounds of bananas.
d.
2a + b ≤ 12; 2 pounds of apples and 6 pounds of bananas or 4
pounds of apples and 3 pounds of bananas.
22. Write an inequality to represent the graph.
a.
y ≤ 4x + 3
b.
y ≥ 4x + 3
c.
y < 4x + 3
d.
y ≤ 3x + 4
23. Graph the inequality
a.
b.
.
c.
d.
24. Graph the system of linear inequalities
a.
.
b.
c.
d.
25. Estimate the area of the overlapping solution regions.
a.
About 12 square units
b.
About 19 square units
c.
About 8 square units
d.
About 10 square units
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