Download Course 3 – Semester Test Review

Pre-Algebra – Semester Test Review
Chapters 1 to 4
Name ________________________________________________ Date _____________
The semester test will be on _____________________________________
No Calculator Portion
What is the “word” used to remember the order of operations. _______________________________
Evaluate each expression.
1. 4(9) - 36  3
2. 49 - (32 + 8  3)
3.
28  7
4 2  13
Evaluate.
4.
83
7.
52  23
5.
(-3)5
6. 2-4
8. Write m  n  m  m  3  3  3 using exponents.
Rules for adding:
1. If the signs are the same, ________________ the numbers and the answer will have the same sign.
2. If the signs are different, _________________ the absolute values and the answer will have the sign of
the greater absolute value.
Rule for subtracting:
 Add a ________________________, change the ____________________.
 The first number does not change.
Rules for multiplying and dividing:
 2 numbers with the same signs  ____________________________ answer
 2 numbers with different signs  ____________________________ answer.
9. -44 + 26
10. 44 + (-26)
11.
-15 +(-51)
12. (-17) + (-13)
13. 53 + (-28)
14.
-86 + 77
16. -16 +(-5) + 12
17. -2 +17 + (-12)
18. -25 - 15
19. 21 - (-23)
20. -34 - (-11)
21. 56 - 94
22. 38 - (-39)
23. 72 - 27
24. -9(-8)
25. -11  12
26. 15(-3)
27. -7(-13)
28. -5(2)(-7)
29. 6(8)(-3)
30 40  (-5)
31. –63  (-7)
32.
15.
33.
10 + (-4) + 6
56
4
57
19
When adding or subtracting fractions, you must have a _________________________________________.
When multiplying fractions:
1. Change mixed numbers to _________________________________________.
2. Before multiplying, _________________________________________.
3. Take numerator x numerator and denominator x denominator.
When dividing fractions:
1. Change mixed numbers to _________________________________________.
2. Keep, switch, __________________________.
3. Cross simplify then multiply.
1 4
34.  
9 9
35.
5  3
 
6  8
 1  1
36.  3    8 
 5  2
37.
1  2
1   6 
6  3
40.
3
5
4  5
4
8
38.
7 3

8 4
39.
4  2
 
5  15 
1
1
1
41. Tamera played a computer game for 1 hours, studied for 2 hours, and did some chores for
hour.
4
2
4
How much time did Tamera spend on all of these tasks?
 12   2 
44.      
 13   3 
42.
3 1

16 9
45.
3  2
3    
8  3
46.
1  1
4   3 
4  3
47.
2  3
 
3  4
48.
 5  2
   
 9  3
49.
3
1
3  2
4
2
43.

9 2

10 3
50. Emily is baking cupcakes, and each batch required
many batches can she make?
2
1
cups of flour. If Emily has 3 cups of flour, how
3
3
Find each square root.
51.
121
52.
 256
53.
55.
17.2
56.
36
49

Estimate each square root.
54.
39
3
7
8
Write each number in scientific notation.
57.
9.87 x 105
58.
6.785 x 10-6
60.
4,250,000,000
Write each number in standard form.
59.
0.00000375
Evaluate.
61.
26
62. 64
64. Order the following numbers from least to greatest: -8, 7, -10, 3, 0
63.
10  15
A CALCULATOR MAY BE USED ON THIS PORTION
1. HOLIDAY DECORATIONS During the holiday season, 13 homes on a certain street displayed lights and 8 displayed
lawn ornaments. Five of the homes displayed both lights and lawn ornaments. If there are 32 homes on the street,
how many had no decorations at all? Draw a Venn Diagram to solve.
Solve each equation.
2.
x - 2.62 = 6.37
3.
5.
x
1
5

3
9
6.
8.
1
4
x  3  2
3
5
y - 3.16 = 7.92

7
14
n
10
15
4.
r - (-3.38) = 9.76
7.
m
8
0.25
Write an equation you could use to find the length of the missing side of each right triangle. Then find the
missing length. Round to the nearest tenth if necessary.
9.
10.
Graph the following set of points on the given coordinate plane, then find the distance between the 2
points to the nearest tenth.
11.
(-3,2), (2,1)
Real Numbers
Rational Numbers
 Fractions
 Repeating Decimals
 Terminating Decimals
Irrational Numbers
Decimals that do not terminate or
repeat.
Integers
…,-2, -1, 0, 1, 2, …
(No fractions or decimals.)
Whole Numbers
0, 1, 2, 3, ….
(No fractions, decimals or negatives.)
Classify each real number.
12.
–7
13.
14.
64
12
15.

21
7
Express each rate as a unit rate. Remember to define each ratio & interpret each rate in words.
16. 96 students in 3 buses
17. $21.45 for 13 gallons of gasoline 18. 125 meters in 10 seconds
Solve each proportion.
x 15

19.
5 25
20.
5 m

8 12
Define setup and solve using a proportion.
22. If a 12-ounce bottle of shampoo lasts you 16 weeks.
How long would you expect an 18-ounce bottle to last
you?
21.
w 2.8

6
7
23. A surfboard shop can make 39 surfboards in two
weeks. How long should it take them to produce 125
surfboards? (give answer in days)