Download Practice Final

awashburn49 #1
Pre-Algebra / Math 351 – 1 (Prof. Washburn)
Student Name/ID:
1. Divide.
4 92
2. Evaluate.
6 2 − 2 ·7 + 4 2
3. Evaluate.
−9 2 =
− −2
3
=
4. Use the distributive property to remove the parentheses.
−5 − y − 4 w + 3
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 1 / 17
5. Solve for u .
2 3 u − 8 = 38
Simplify your answer as much as possible.
6. Solve for u .
−5 u − 18 = −2 u − 6
Simplify your answer as much as possible.
7. Write 99 as a product of prime factors.
8. Multiply.
−4 1
·
·5
8 −7
Write your answer in simplest form.
9.
A road crew must repave a road that is
3
1
miles long. They can repave
miles each hour. How
4
48
long will it take the crew to repave the road?
Write your answer in simplest form.
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 2 / 17
10. Add.
9
3
+
10
4
Write your answer as a fraction in simplest form.
11. Simplify.
−6 x − 2 −4 y + 2 x − 5 y
12.
You walk
1
1
miles to a clothing store. Then you walk another
miles to a grocery store. How
2
3
many miles have you walked in all?
Write your answer as a fraction in simplest form.
13. Divide. Write your answer as a fraction or a mixed number in simplest form.
5
5
2
÷ 2
9
3
14. Evaluate.
7 7
+
9 8
1
3
2
Write your answer in simplest form.
0.16
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 3 / 17
15. Write 0.16 as a fraction in simplest form.
16. Translate the sentence into an equation.
Four times the difference of a number and 9 is equal to 8 .
Use the variable x for the unknown number.
17. Simplify.
3
−1
8
7
+1
4
18. Solve for x .
−2 =
3 x − 23
4
Simplify your answer as much as possible.
19. Solve for x .
−3 x + 7 = −9 x + 9
Simplify your answer as much as possible.
20. Bill used 27.82 gallons of fuel while driving. Now, 1.9 gallons are left. How much fuel did Bill's
car have before his trip?
48
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 4 / 17
21.
22.
Write
48
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
11
Write
17
as a percentage.
25
23. Evaluate the following.
14 − 11.9
2
+ 35.6 ÷ 0.4
24. Evaluate the following.
9
× 73.5
5
Write your answer as a decimal.
25. Simplify.
6u
2
Write your answer without parentheses.
26. Solve for x .
7
x = 42
3
Simplify your answer as much as possible.
3
28
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
42 P. 5 / 17
27. Martina runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42
minutes?
28. An item is regularly priced at $40 . Lamar bought it at a discount of 30 % off the regular price.
How much did Lamar pay?
29. Hong walks 2.5 km every day. How far does he walk in 7 days?
Write your answer in meters.
30.
A coffee pot holds 3
3
quarts of coffee. How much is this in cups?
4
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in
your answer.
31. Simplify.
9
49
Be sure to write your answer in simplest form.
32. Multiply.
5v + 4w 5v − 4w
Simplify your answer.
= −6
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 6 / 17
33. Evaluate the expression when c = −6 .
2
c + 7c + 4
34. A local real estate company has 5 real estate agents. The number of houses that each agent
sold last year is shown in the bar graph below. Use this bar graph to answer the questions.
Number of Houses Sold
12
10
8
6
4
2
0
Heather
Leila
Chang
Elsa
Soo
Agent
(a) Which agent sold the most houses? How many houses did that agent sell?
(b) How many more houses did Heather sell than Leila?
(c) How many agents sold at least 4 houses?
35. The next model of a sports car will cost 11.7 % more than the current model. The current model
costs $56,000 . How much will the price increase in dollars? What will be the price of the next
model?
Increase in price: $ ________
Price of next model: $ ________
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 7 / 17
36. Evaluate. Write your answers as fractions.
2
3
−
2
5
4
3
=
=
37. Solve for x .
5 x − 12
= −6
−3
Simplify your answer as much as possible.
38. Graph the line x = −1 .
y
8
6
4
2
x
-8
-6
-4
-2
2
4
6
8
-2
-4
-6
-8
2
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 8 / 17
39.
3
In November, the amount of snowfall was 1
2
feet. In December, the amount of snowfall was
5
1
feet. What was the amount of snowfall in the two months combined?
3
Write your answer as a mixed number in simplest form.
40. A shipment of 15 tons of sugar is separated into containers of equal size. If the shipment fills
2
6
containers, how much sugar can one container hold?
7
Write your answer as a mixed number in simplest form.
41. Answer the following questions.
(a) What percent of 8 is 33.52 ?
____
(b) 25.6 % of what number is 21.12 ? ____
42. Find the area of the figure. (Sides meet at right angles.)
2 in
2 in
4 in
9 in
4 in
4 in
9 in
8 in
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 9 / 17
43. The equation of a line is given below.
2 x + 4 y = −8
Find the x -intercept and the y -intercept.
Then use them to graph the line.
x -intercept: _______________
y -intercept: _______________
y
8
6
4
2
x
-8
-6
-4
-2
2
4
6
8
-2
-4
-6
-8
44. Graph the line.
y =−
1
x +2
4
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 10 / 17
45. Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
16 cm
4 cm
11 cm
10 cm
6 cm
46. Simplify.
4 −2
−3 w x
2
Write your answer using only positive exponents.
47. For the following right triangle, find the side length x . Round your answer to the nearest
hundredth.
11
x
16
48. Rewrite without parentheses and simplify.
2y + 5w
2
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 11 / 17
49. Calculate.
7 × 10 8
2 × 10 5
Write your answer in scientific notation.
50. Simplify.
x
x
5
−9
Write your answer with a positive exponent only.
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 12 / 17
awashburn49 #1 Answers for class Pre-Algebra / Math 351 – 1
1. 23
2. 6
3.
−9 2 = −81
− −2
3
=8
4. 5 y + 20 w − 15
5. u = 9
6. u = −10
7. 99 = 3 × 3 × 11
8. 5
14
9. 36 hours
10. 33
20
, or 1
13
.
20
11. −10 x + 3 y
12. 5
miles
6
13.
1
12
2
14. 7
8
4
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 13 / 17
15. 4
25
16. 4 x − 9 = 8
17.
−
5
22
18. x = 5
19. x = 5
20. 29.72 gallons
21. 4. 36
22. 68 %
23. 93.41
24. 132.3
25. 36 2
u
26. x = 18
27. 4.5 miles
28. $28
29. 17500 m
30. 15 c
31. 3
7
32. 25 2 − 16 2
v
w
33. −2
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 14 / 17
34.
(a)
Which agent sold the most houses?
Soo
How many houses did that agent sell?
10 house(s)
(b)
How many more houses did Heather sell than Leila?
4 more house(s)
(c)
How many agents sold at least 4 houses?
4 agent(s)
35. Increase in price: $6552
Price of next model: $62,552
36.
2
3
−
2
5
43
=
9
4
=
5
64
37. x = 6
38.
y
8
6
4
2
-8
-6
-4
-2
-2
x
2
4
6
8
-4
-6
-8
39.
4
11
feet
15
1
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 15 / 17
40.
41.
5
1
tons
4
(a) What percent of 8 is 33.52 ?
419 %
(b) 25.6 % of what number is 21.12 ? 82.5
42. 56 in 2
43. x -intercept: −4
y -intercept: −2
y
8
6
4
2
x
-8
-6
-4
-2
2
4
6
8
-2
-4
-6
-8
44.
45. 52 cm
46. 9 8
w
x
4
47. 11.62
2
48. 4 2 + 20
y
y w + 25 w
3
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 16 / 17
49. 3.5 × 10 3
50. 14
x
ALEKS awashburn49 #1 - 08/18/2015 01:44 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation.
P. 17 / 17