Pre Algebra
Review unit 4-6
Review unit 4 - 6
NAME:___________________________________
Unit 4
Evaluate the following
1. ‫ ݔ‬− 7, ݂‫ = ݔ ݎ݋‬−5
2. 2ܾ + 4, ݂‫ = ܾ ݎ݋‬−2
Simplify
3. 47‫ ݔ‬− 3‫ ݔ‬+ 4‫ݔ‬
4. 12‫ ݔ‬+ 4‫ ݕ‬− 3‫ݕ‬
6. 4‫ ݔ‬ଶ + 3‫ ݔ‬− 12
5. 22݇ + ݆ − 12݇ − ݆
7. 3‫ ݔ‬ଶ ‫ ݕ‬+ ‫ ݕݔ‬+ 8‫ ݕݔ‬ଶ − 5‫ݕݔ‬
Distribute and simplify
8. 4ሺ‫ ݔ‬− 3ሻ
9. 8ሺ‫ ݔ‬+ 2ሻ
10. −5ሺ‫ ݔ‬− 4ሻ
11. −3ሺ2‫ ݔ‬+ 6ሻ
12. 2 + 5ሺ‫ ݔ‬− 2ሻ
13. 3‫ ݔ‬− 6ሺ‫ ݔ‬− 4ሻ
15. ‫ ݔ‬− 5 = −14
16. −3 = ‫ ݔ‬+ 28
Solve
14. ‫ ݔ‬+ 4 = −10
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Pre Algebra
Review unit 4-6
Solve
17. 6‫ = ݔ‬−24
20. −2‫ ݔ‬+ 7‫ = ݔ‬72 − ሺ−3ሻ
18. −7‫ = ݔ‬−42
19. −8‫ = ݔ‬72
21. 8‫ ݔ‬+ 10 − 7‫ = ݔ‬4
22. A number decreased by thirty is twenty-two. Find the number.
23.The product of a number and 4 is 32. Find the number.
Solve
24. −3‫ ݔ‬− 7 = 8
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25. −2 − 3‫ = ݔ‬31
360
Milano
Pre Algebra
Review unit 4-6
Solve
26. 2ሺ‫ ݔ‬− 1ሻ + 12 = −10
27. 5 − 2ሺ‫ ݔ‬+ 1ሻ = 12 − ሺ−3ሻ
28. 8‫ ݔ‬− 5 = 2‫ ݔ‬+ 13
29. 5‫ ݔ‬− 5 = 4ሺ‫ ݔ‬+ 7ሻ − 3
30.
ଵ
ହ
ଷ
‫଻=ݔ‬
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31.
361
ଵ
ଶ
‫ݔ‬−ଶ = ଷ
Milano
Pre Algebra
32.
ଶ
ଷ
ଵ
Review unit 4-6
ଵ
‫ݔ‬−ଷ = ଺
3 4. 0.3‫ = ݔ‬3.9
ଵ
ଷ
ଵ
33. ଶ ‫ ݔ‬− 2 = ଶ ‫ ݔ‬− ଶ
35. ‫ ݔ‬+ 1.3 = −2.23
36. 0.25‫ ݔ‬− 3.2 = −2.55
American River College
362
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Pre Algebra
Review unit 4-6
Unit 5
1. If you spend 6 hours studying to every 2 hours in class, what is the ratio of hours in class to hours
studying?
Write a ratio for the following in lowest terms.
ଵ
2. 1 ଶ ܿ݉ ‫ ݋ݐ‬2ܿ݉
3.4.2݉ ‫ ݋ݐ‬3.22݉
4. 20 hours to 2 days
5. If you drove 300miles on 25 gallons of gas, what is your miles per gallon?
6. You need to by a special seasoning for your holiday meal and have several options to choose from.
What is the best deal?
4 oz for $10.21
4.5oz for $11.50
5oz for $12.00
American River College
363
Milano
Pre Algebra
Review unit 4-6
భ
7.
ଷ
ହ
଼
=௫
8.
ଶ.ହ
଻
௫
= ଵ.ସ
9.
ଶయ
௫
భ
=
ସమ
଺
10. If it takes 2 cups of flour to make a recipe for 6 people, How much flour do you need to make
enough for 8 people?
11. A study showed that 3 out of every 5 people voted in an election, how many people out of 1250 can
you assume voted?
ଵ
12. You were able to drive 400 miles on 18 ଶ ݈݈݃ܽ‫ ݏ݊݋‬. How many gallons would you need to drive 800
miles?
American River College
364
Milano
Pre Algebra
Review unit 4-6
Write the following a s a decimal
13. 36%
14. 25.42%
15. 0.0008%
Write each of the following as a percent
16. 3.10
17. 0.46
18. 0.5
Write each of the following as a fraction
19. 96%
ଵ
21. 15 ଶ %
20. 21.5%
ହ
22. Write ଺ as a percent.
23. What is 50% of 150?
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24. What is 100% of 300?
365
Milano
Pre Algebra
Review unit 4-6
25. What is 10% of 28?
26. What is 4% of 30?
27. 33 is 60 % of what number?
28. 90 is 150% of what number?
29. 15 is what percent of 180?
30. 560 is what percent of 56?
31.You currently pay $700 for rent and were just told by your manager to expect a 5% increase next
month. How much will the increase be?
32. The parks and recreation department just announced they will only have 75% of the budget they
had last year. If they had a budget of $400,000 last year, how much will they have this year?
American River College
366
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Pre Algebra
Review unit 4-6
33. A certain class has 26 females out of 42 students. What percent females are there?
34. If Bob had $ 320 in his account at the end of the month and that was only 25% of what he had last
month, how much did he have last month?
35. If the school raised its tuition from $32 to $40 what would the percent increase be?
36. If you paid your credit card down to $250 from $450, what is the percent decrease?
American River College
367
Milano
Pre Algebra
Review unit 4-6
If you went to a restaurant and had a bill for $58.63 , how much would you leave for a tip if you want to
leave:
37. 10% tip?
38. 15% tip?
39. 20% tip ?
American River College
368
Milano
Pre Algebra
Review unit 4-6
Unit 6
1. Complete the chart below by evaluating
y = 4x - 3
x
0
1
2
3
Then plot the points on the graph.
y
2. Find the area of a rectangle whose base is 15 cm and hieght is 4cm.
3. Find the Perimeter of a parallelogram below
3݉
5݉
7݉
4. Find the area of a circle with a radius of 3 feet.
5. If the Perimeter of a recantgle is 36ft, and the length is 5ft, find the width.
American River College
369
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Pre Algebra
Review unit 4-6
6. Find the area of the triangle below
16݉
1
12 ݉
2
15݉
20݉
7. Find the volume of the rectangular prism below.
4݅݊
8݅݊
2݅݊
8. Find the Volume of the cone below
9݉
2݉
For problems 9 and 10 consider the triangle
ܿ
ܽ
9. If ܽ = 5݂‫ = ܾ ݀݊ܽ ݐ‬12݂‫ ݐ‬, ݂݅݊݀ ܿ
ܾ
10. If ܿ = 5݂‫ = ܾ ݀݊ܽ ݐ‬3݂‫ ݐ‬, ݂݅݊݀ ܽ
American River College
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Milano