Pre-Algebra Unit 6Part 2 Review
Name ______Period ______
Unit 1 Review
1. Choose the correct graphs when plotting the given irrational numbers on a number line.
,
a)
b)
c)
d)
For #2 and #3, evaluate the expressions.
2. 3. Evaluate for x = 2 and y = -3.
a)30a)5
b)17b)-1
c)45c)-5
d)44d)1
For #4 and #5, simplify the expressions.
4. 5.
a)10a)4
b)100b)6
c)50c)2
d)1d)8
Unit 2 Review
Write an algebraic expression for each of the following word statements.Let n = the unknown number.
6. The sum of a number and 5
7. The product of a number and 5
8. The difference of a number and 5
9. The quotient of a number and 5
Simplify the following expressions.
10.11.
a)a)
b)b)
c)c)
d)d)
Choose the equivalent expressions.
12.13.
a)a)
b)b)
c)c)
d)d)
Simplify each expression.
14.15.
a)a)
b)b)
c)c)
d)d)
16.17.
a)
b)
c)
d)
Unit 4 Review
Solve each equation.
18.19.
a)– 4.5a)3
b)18b)-3
c)–18c)2
d)4.5d)-2
Unit 5 Review
Solve each equation.
20.21.
a)8a)–32.5
b)6b)–29.5
c)5c)–30.25
d)4d)–27.25
For the given value, state whether the inequality is TRUE or FALSE.
22. if 23. if
a)Truea)True
b)Falseb)False
Match each statement with the correct number line.
24.a) b)
25.
26.c) d)
e)
Solve each inequality.
28.29.
a)a)
b)b)
c)c)
d)d)
Write an inequality for each graph.
30.31.
a)a)
b)b)
c)c)
d)d)
Find the perimeter and area of the rectangle. Formulas: and
32.Find the Perimeter.33.Find the Area.
a)10a)10
b)20b)20
c)15c)15
d)21d)21
Find the perimeter and area of each square. Formulas: and
34.Find the Perimeter.35.Find the Area.
a)144a)144
b)24b)24
c)48c)48
d)36d)36
Find the perimeter and area of each triangle. Formulas: and
36.Find the Perimeter.37.Find the Area.
a)39a)39
b)31b)31
c)80c)80
d)40d)40
Problem Solving
38.The perimeter of a rectangle is 40. 39.The perimeter of a square is 64.
If the width is 5, then what is the length?What is the length of its side?
a)15a)4
b)35b)6
c)20c)16
d)30d)8
40.The area of a square is 64. 41.The area of a triangle is 28.
What is the length of its side?If the base is 4, then what is its height?
a)4a)9
b)16b)21
c)16c)7
d)8d)14
Unit 6 Part 1 Review
Express each ratio as a fraction in simplest form.
42.8 boys to 12 girls43.24 cats to 6 dogs
a)12 to 10a)4
b)10 to 8b)4 to 1
c)3 to 2c)1 to 4
d)2 to 3d)¼
Express each rate as a unit rate.
44.You drove 300 miles in 5 hours45.You paid $10 for 4 lbs of ham
a)60 miles per houra)40 lbs per dollar
b)60 hours per mileb)$40 per lb
c)40 miles per hourc)2.50 lbs per dollar
d)40 hours per miled)$2.50 per lb
The table shows what each person gets paid for a week of work.
46.What does the rate of Pay to Hours mean?
a)It’s the total pay each person makes.
b)It’s the amount each person makes per hour.
c)It’s the total hours a person works.
d)It’s the amount each person makes per day.
47.Which person has the greatest rate of Pay to Hours?
Complete each conversion. Round to the nearest hundredth.
48. 18 cm ≈ in49. 5 gal ≈ L50. 15 lb ≈ kg
Problem Solving. Round each answer to the nearest hundredth.
51.Chicken at Safeway sells for $3.59 per pound. How much is that per ounce?
[ 1 pound is 16 ounces ]
52.Kristen drives 2 miles per minute. What is this rate in feet per hour?[ 1 mile is 5280 feet ]
Determine whether each relation is proportional.
53. 54.
a)Yesb)Noa)Yesb)No
55.56.
a)Yesb)Noa)Yesb)No
57.58.
a)Yesb)Noa)Yesb)No
Solve each proportion.
59.60.
61.62.
63.64.
65.66.
Unit 6 Part 2 Review
For each triangle in problems #67-70, use the Pythagorean Theorem to solve.
67.68.
69.A right triangle has leg lengths of 21 cm and 28 cm.
What is the length of the hypotenuse?
70.A right triangle has a hypotenuse length of 53 in and a leg length
of 45 in. What is the length of the other leg?
71.Scale Drawing
The dimensions of two scale drawings of the Statue of Liberty are given below. Find the height of the larger drawing.
72.Building Models
You build a model car with a scale of 1:25. If the actual car has a width of 68 inches, then what is the width of your model car?
Suppose ~. Write what is equal to each measure or value.
73.74.
75.
Operational Words:
Sum Addition
Difference Subtraction
Product Multiplication
Quotient Division
Order of Operations:
P parenthesis and other grouping symbols
E exponents
M multiplication
D division
A addition
S subtraction
Some perfect squares:
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