Practice Test - Chapter 1
1. Evaluate
if x = 3 and y = –1.
SOLUTION: 2. Simplify
.
SOLUTION: 3. MULTIPLE CHOICE If
A 105
B9
what is the value of
C
D6
SOLUTION: Substitute m = 6 in 2m − 3.
So, the correct choice is B.
4. Solve
for p.
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Practice
Test - Chapter 1
So, the correct choice is B.
4. Solve
for p.
SOLUTION: Write an algebraic expression to represent each verbal expression.
5. twice the difference of a number and 11
SOLUTION: Let n be a number.
The words twice the difference of a number and 11 represents the expressions 2(n − 11).
6. the product of the square of a number and 5
SOLUTION: Let n be a number.
2
The words the product of the square of a number and 5 represents the expression 5n .
7. Evaluate
if y = 2.5.
SOLUTION: Substitute y = 2.5 in the expression.
8. Solve
. Graph the solution set on a number line.
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Practice Test - Chapter 1
8. Solve
. Graph the solution set on a number line.
SOLUTION: To graph this inequality, draw an open circle at –2 and draw an arrow extending to the left.
9. MONEY Carson has $35 to spend at the water park. The admission price is $25 and each soda is $2.50. Write an
inequality to show how many sodas he can buy.
SOLUTION: Let s represent the number of sodas he can buy.
35 ≥ 25 + 2.50s
10. Solve
or Graph the solution set.
SOLUTION: or
So, the solution of the inequalities is
.
To graph this inequality, draw an open circle at −2 with an arrow extending to the left and an open circle at
an arrow extending to the right.
with
11. Solve
eSolutions
Manual - Powered Graph the solution set on a number line.
by Cognero
SOLUTION: Page 3
To graph this inequality, draw an open circle at −2 with an arrow extending to the left and an open circle at
an arrow extending to the right.
with
Practice Test - Chapter 1
11. Solve
Graph the solution set on a number line.
SOLUTION: The solution set is
.
To graph this inequality, draw solid circles at –7 and 15 and connect them with a solid line segment.
12. MULTIPLE CHOICE Which graph represents the solution set for
F
G
H
J
SOLUTION: The graph in the choice F represents the solution set
.
So, the correct choice is F.
13. MONEY Sofia is buying new skis. She finds that the average price of skis is $500 but the actual price could differ
from the average by as much as $250. Write and solve an absolute value inequality to describe this situation.
SOLUTION: Let p represents the actual price.
The absolute value inequality representing the situation is
Solve the absolute value inequality.
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.
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The graph in the choice F represents the solution set
Practice Test - Chapter 1
So, the correct choice is F.
.
13. MONEY Sofia is buying new skis. She finds that the average price of skis is $500 but the actual price could differ
from the average by as much as $250. Write and solve an absolute value inequality to describe this situation.
SOLUTION: Let p represents the actual price.
The absolute value inequality representing the situation is
Solve the absolute value inequality.
.
14. GARDENING Andy is making 3 trapezoidal garden boxes for his backyard. Each trapezoid will be the size of the
trapezoid below. He will place stone blocks around the borders of the boxes. How many feet of stones will Andy
need?
SOLUTION: The perimeter of each stone block = (8 + 7 + 12 + 7) ft.
Therefore, perimeter of 3 stone blocks = 3(8 + 7 + 12 + 7) ft.
So, Andy will need 102 feet of stones.
Solve each equation.
15. SOLUTION: There appear to be two solutions, –1 and –7.
Check: Substitute each value in the original equation.
The solution set is
.
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Practice Test - Chapter 1
So, Andy will need 102 feet of stones.
Solve each equation.
15. SOLUTION: There appear to be two solutions, –1 and –7.
Check: Substitute each value in the original equation.
The solution set is
.
16. SOLUTION: There appear to be two solutions,
.
Check: Substitute each value in the original equation.
The solution set is
.
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17. Page 6
Practice
Test - Chapter
1
The solution
set is
.
16. SOLUTION: There appear to be two solutions,
.
Check: Substitute each value in the original equation.
The solution set is
.
17. SOLUTION: Since the absolute value of
can not be negative, the solution set is .
18. SOLUTION: eSolutions Manual - Powered by Cognero
There appear to be two solutions, 3 and –8.
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17. SOLUTION: Practice Test - Chapter 1
Since the absolute value of
can not be negative, the solution set is .
18. SOLUTION: There appear to be two solutions, 3 and –8.
Check: Substitute each value in the original equation.
The solution set is
.
19. SOLUTION: eSolutions Manual - Powered by Cognero
Page 8
There appear to be two solutions,
.
Practice Test - Chapter 1
The solution set is
.
19. SOLUTION: There appear to be two solutions,
.
Check: Substitute each value in the original equation.
The solution set is
.
20. SOLUTION: Since the absolute value of any number can not be negative, the solution set is
21. GEOMETRY The volume of a cylinder is given by the formula
below?
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.
. What is the volume of the cylinder
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Practice Test - Chapter 1
Since the absolute value of any number can not be negative, the solution set is
21. GEOMETRY The volume of a cylinder is given by the formula
below?
.
. What is the volume of the cylinder
SOLUTION: Radius(r) of the cylinder is 6 cm.
2
Substitute r = 6, and h = 9 in the formula V = πr h.
The volume of the cylinder is about 1017.88 cubic centimeters.
22. Solve
. Graph the solution set on a number line.
SOLUTION: To graph this inequality, draw a solid circle at
and draw an arrow extending to the right.
23. Evaluate
if and .
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To graph this inequality, draw a solid circle at
and draw an arrow extending to the right.
Practice Test - Chapter 1
23. Evaluate
if and .
SOLUTION: 24. Name the set(s) of numbers to which
belongs.
SOLUTION: The number
is a real number. Since
can be expressed as a ratio
where a and b are integers and b is not 0
it is also a rational number. It is not a part of the set {…-2, -1, 0, 1, 2, …} so it is not an integer. Since it is not a part
of the set {…0, 1, 2, 3, …} it is not a whole number or a natural number.
Q, R
25. MONEY The costs for making necklaces at two craft stores are shown in the table. For what quantity of beads
does The Accessory Store have a better deal? Use the inequality
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The number
is a real number. Since
can be expressed as a ratio
where a and b are integers and b is not 0
it is also a rational number. It is not a part of the set {…-2, -1, 0, 1, 2, …} so it is not an integer. Since it is not a part
Practice
- Chapter
of theTest
set {…0,
1, 2, 3,1…} it is not a whole number or a natural number.
Q, R
25. MONEY The costs for making necklaces at two craft stores are shown in the table. For what quantity of beads
does The Accessory Store have a better deal? Use the inequality
SOLUTION: When you buy 6 or fewer beads, The Accessory Store is a better deal.
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