Name: 
 

Algebra Chapter One Test


Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Write an algebraic expression for the phrase.
 

 1. 
the sum of b and 11
a.
b – 11
b.
algebrachapter1stud_files/i0030000.jpg
c.
b + 11
d.
11b
 

 2. 
the product of g and 4
a.
4g
b.
g + 4
c.
algebrachapter1stud_files/i0040000.jpg
d.
g – 4
 

 3. 
4 times the sum of q and p
a.
4q + p
b.
4 + q + p
c.
4qp
d.
4(q + p)
 

 4. 
–2 times the quantity q minus 3
a.
–2q – 3
b.
q(–2 – 3)
c.
algebrachapter1stud_files/i0060000.jpg
d.
–2(q – 3)
 
 
Define a variable and write an expression for the phrase.
 

 5. 
the quotient of 6 times a number and 16
a.
algebrachapter1stud_files/i0080000.jpg
b.
algebrachapter1stud_files/i0080001.jpg
c.
algebrachapter1stud_files/i0080002.jpg
d.
algebrachapter1stud_files/i0080003.jpg
 

 6. 
4 minus a number
a.
4 – n
b.
4n
c.
algebrachapter1stud_files/i0090000.jpg
d.
algebrachapter1stud_files/i0090001.jpg
 

 7. 
The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours.
a.
c = 18h
b.
c – 18 = h
c.
h = 18c
d.
algebrachapter1stud_files/i0100000.jpg
 

 8. 
What equation models the data in the table if d = number of days and c = cost?
Days
Cost
2
44
3
66
5
110
6
132
a.
d = 22c
b.
c = 22d
c.
c = d + 22d
d.
c = d + 22
 

 9. 
An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral triangle if P = perimeter and s = length of a side?
a.
s = 3P
b.
P = 3s
c.
P = 3 + s
d.
P = 3(s + s + s)
 

 10. 
Evaluate u + xy, for u = 18, x = 10, and y = 8.
a.
188
b.
36
c.
98
d.
224
 

 11. 
A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
a.
$95.38
b.
$60.99
c.
$57.23
d.
$78.19
 

 12. 
When simplifying an expression, you ____ perform operations inside grouping symbols first.
a.
always
b.
sometimes
c.
never
 

 13. 
Evaluate the expression algebrachapter1stud_files/i0160000.jpg for a = 4 and b = 3.
a.
36
b.
24
c.
81
d.
144
 

 14. 
You can use the formula algebrachapter1stud_files/i0170000.jpg to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.
a.
30°C
b.
16.7°C
c.
52.2°C
d.
2.4°C
 

 15. 
Write the number 2.4 in the form algebrachapter1stud_files/i0180000.jpg, using integers, to show that it is a rational number.
a.
algebrachapter1stud_files/i0180001.jpg
b.
algebrachapter1stud_files/i0180002.jpg
c.
algebrachapter1stud_files/i0180003.jpg
d.
algebrachapter1stud_files/i0180004.jpg
 
 
Simplify the expression.
 

 16. 
algebrachapter1stud_files/i0200000.jpg
a.
108
b.
36
c.
18
d.
9
 

 17. 
algebrachapter1stud_files/i0210000.jpg
a.
29
b.
80
c.
128
d.
92
 

 18. 
algebrachapter1stud_files/i0220000.jpg
a.
297
b.
868
c.
437
d.
867
 

 19. 
–9 + 6
a.
15
b.
–3
c.
–15
d.
3
 

 20. 
–4.8 – (–4.9) + 5.7
a.
–4
b.
–5.8
c.
5.8
d.
–15.4
 

 21. 
algebrachapter1stud_files/i0250000.jpg
a.
algebrachapter1stud_files/i0250001.jpg
b.
algebrachapter1stud_files/i0250002.jpg
c.
algebrachapter1stud_files/i0250003.jpg
d.
algebrachapter1stud_files/i0250004.jpg
 

 22. 
algebrachapter1stud_files/i0260000.jpg
a.
13
b.
–13
c.
12
d.
–12
 

 23. 
–6.5(–4.9)
a.
–16.25
b.
–31.85
c.
–12.25
d.
31.85
 

 24. 
algebrachapter1stud_files/i0280000.jpg
a.
–32
b.
16
c.
–10
d.
32
 

 25. 
algebrachapter1stud_files/i0290000.jpg
a.
20
b.
125
c.
–625
d.
625
 

 26. 
algebrachapter1stud_files/i0300000.jpg
a.
585
b.
169
c.
26
d.
181
 

 27. 
3.7 – 1.8 – 3.67 + 4.4 – 1.34
a.
–7.51
b.
–1.29
c.
1.29
d.
8.63
 

 28. 
algebrachapter1stud_files/i0320000.jpg
a.
36
b.
–72
c.
72
d.
–36
 

 29. 
Evaluate the formula algebrachapter1stud_files/i0330000.jpg for B = 9 in.2 and h = 32 in.
a.
288 in.3
b.
9.6 in.3
c.
32 in.3
d.
96 in.3
 

 30. 
algebrachapter1stud_files/i0340000.jpg
a.
2.8
b.
–2.8
 

 31. 
A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.
a.
12,540 ft
b.
–12,540 ft
c.
10,740 ft
d.
12,940 ft
 

 32. 
Evaluate –x + 2.7 for x = 0.9.
a.
–1.8
b.
–3.6
c.
1.8
d.
3.6
 

 33. 
The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit.
a.
11 + c; 11 + (–85) = 96
c.
11 – c; 11 – (–85) = 74
b.
85 + c; 85 + (–11) = 74
d.
85 – c; 85 – (–11) = 96
 

 34. 
Evaluate b – 2a – c for a = –7, b = 3, and c = –7.
a.
24
b.
3
c.
10
d.
–18
 

 35. 
The closing price of a share of stock in Company XYZ is $25.69 on Thursday. If the change from the closing price on Wednesday is –$0.75, find the closing price on Wednesday.
a.
$26.44
b.
$24.94
c.
$25.75
d.
$25.06
 

 36. 
You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month.
a.
$72.31 + ($17.92 – $15.33); $74.90
b.
$72.31 – $17.92 – $15.33; $39.06
c.
$72.31 + $17.92 + $15.33; $105.56
d.
$72.31 – ($17.92 – $15.33); $69.72
 

 37. 
Evaluate x(–y + z) for x = 3, y = 3, and z = 1.
a.
–6
b.
10
c.
12
d.
–8
 

 38. 
The expression algebrachapter1stud_files/i0420000.jpgcan be used to calculate the change in temperature in degrees Fahrenheit for an increase in altitude a, measured in feet. A plane starts on the ground and then rises 23,000 ft. Find the change in temperature at the altitude of the plane.
a.
126.5 degrees
c.
–125 degrees
b.
–126.5 degrees
d.
125 degrees
 

 39. 
–12 ¸ (–2)
a.
24
b.
–6
c.
–24
d.
6
 

 40. 
Evaluate algebrachapter1stud_files/i0440000.jpg for m = –4, n = 2, and p = 1.5.
a.
–10
b.
–19
c.
–30
d.
–22
 

 41. 
Evaluate algebrachapter1stud_files/i0450000.jpg for a = algebrachapter1stud_files/i0450001.jpg and b = algebrachapter1stud_files/i0450002.jpg.
a.
algebrachapter1stud_files/i0450003.jpg
b.
algebrachapter1stud_files/i0450004.jpg
c.
algebrachapter1stud_files/i0450005.jpg
d.
algebrachapter1stud_files/i0450006.jpg
 

 42. 
Use the Distributive Property to find the price of 7 CDs that cost $14.99 each.
a.
$105.00
b.
$98.00
c.
$104.93
d.
$105.70
 

 43. 
–10z – 28z
a.
38z
b.
–38z
c.
18
d.
18z
 
 
Name the property the equation illustrates.
 

 44. 
0 + x = x
a.
Identity Property of Addition
b.
Multiplication Property of 0
c.
Commutative Property of Addition
d.
Inverse Property of Multiplication
 

 45. 
8 ´ algebrachapter1stud_files/i0500000.jpg = 1
a.
Identity Property of Division
b.
Inverse Property of Addition
c.
Inverse Property of Multiplication
d.
Multiplication Property of –1
 

 46. 
8.2 + (–8.2) = 0
a.
Inverse Property of Addition
b.
Addition Property of 0
c.
Identity Property of Addition
d.
Inverse Property of Multiplication
 

 47. 
8 + 3.4 = 3.4 + 8
a.
Inverse Property of Addition
b.
Associative Property of Addition
c.
Commutative Property of Addition
d.
Inverse Property of Multiplication
 

 48. 
7 + (4 + 4) = (7 + 4) + 4
a.
Inverse Property of Addition
b.
Associative Property of Addition
c.
Commutative Property of Multiplication
d.
Commutative Property of Addition
 

 49. 
algebrachapter1stud_files/i0540000.jpg
a.
Associative Property of Addition
b.
Commutative Property of Multiplication
c.
Inverse Property of Multiplication
d.
Commutative Property of Addition
 

 50. 
(ab)3 = a(b3)
a.
Inverse Property of Multiplication
b.
Associative Property of Addition
c.
Associative Property of Multiplication
d.
Commutative Property of Multiplication
 



 
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