Download Review Items

Review Items
8.1
The student will
a) simplify numerical expressions involving positive exponents, using rational numbers,
order of operations, and properties of operations with real numbers; and
b) compare and order decimals, fractions, percents, and numbers written in scientific
notation.
8.1a
1. Simplify the following expression.
2(5.2 + 3.8) + (11 − 3)
8.1a
2. Simplify the expression.
5
2
12 × × 12 × 1
7
5
81.a
3. Simplify the following expression.
5 − 22
4(12 − 32 )
8.1a
4. Simplify the following expression.
1
1
4
−32 + (11 − 2) − (3 + 1 + 2 )
3
5
5
8.1b
5. Which number is the greatest? The least? Show your work.
3
38%, 3.8 × 10−3, 3.8, √13 , 35
Order the numbers from greatest to least.
8.2
The student will describe orally and in writing the relationships between the subsets of the real number
system.
8.2
6. Describe the difference between rational and irrational numbers.
8.2
7. Which set does not include the number -4?
A. Integer
B. Rational Number
C. Whole Number
D. Real Number
Review Items
8.2
8. Which number belongs to the set of rational numbers?
A. √2
B. √5
C. 𝜋
D. √25
8.2
9. What is the difference between the set of natural numbers and whole numbers?
8.2
Circle all the numbers you want to select. You must circle all correct numbers.
10. Which of the following numbers are integers?
−16
4
√2
-
1
2
0.4
3
-6
8.3
The student will
a) solve practical problems involving rational numbers, percents, ratios, and proportions; and
b) determine the percent increase or decrease for a given situation.
8.3a
11. John wants to buy a video game. The video game cost $59.95 and the sales tax is 5%. How much
money will John need to purchase the game?
8.3a
12. Samuel has $550 dollars in his savings account. If his bank pays 1.25% annual simple interest and
he makes no further withdraws or deposits, how much money will be in the account after 3 years?
8.3a
13. Susan bought a bike on sale for $93.75. If the bike was originally $125, what was the percent of
discount?
8.3a
14, Susan ran for class president. In the election 40% of the votes went to the other candidate. There
were 440 votes cast. How many votes did Susan get?
8.3b
15. The pool dues in 2012 were $275. The dues increased to $320 for the 2013 season. What was the
percent of change? Round your answer to the nearest tenth of a percent.
Review Items
8.4
8.4
The student will apply the order of operations to evaluate algebraic expressions for given replacement
values of the variables.
Write the number in the blanks provided.
16. Evaluate the expression. Write your answer in the blank provide.
1
𝑎
5
− 𝑏 4 + √𝑐 when a = 95, b = 2 and c = 25
8.4
17. Use
8.5
9
𝐶
5
+ 32 to find the Fahrenheit temperature for the Celsius temperature of 35° 𝐶.
The student will
a) determine whether a given number is a perfect square; and
b) find the two consecutive whole numbers between which a square root lies.
8.5a
18. Which of the following is a perfect square?
A. 6
B. 13
C. 1
D. 3
8.5b
19. Between which two consecutive whole numbers does √75 lie?
Review Items
8.6
The student will
a) verify by measuring and describe the relationships among vertical angles, adjacent angles,
supplementary angles, and complementary angles; and
b) measure angles of less than 360°.
8.6a
Write the corresponding letter for the following angle pairs in the appropriate box. A letter may be
used more than once
20. Use this diagram to complete the following..
1
4
What is the relationship of the angle pairs
listed below? Write the letter of the angle
pair in all appropriate boxes below.
Adjacent Angles
C) 3 & 6
D) 8 & 9
E) 9 & 10
F) 3 & 10
Complementary Angles
3
6
8 9 10
7
B) 1 & 5
No relationship
Vertical Angles
21. Use the diagram from the previous problem to fill in the blanks with the correct angle measures.
If 𝑚4 = 34𝑜 , 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑚2 = ______________
If 𝑚5 = 139𝑜 , 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑚2 = ______________
If 𝑚9 = 43𝑜 , 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑚10 = ______________
If 𝑚1 = 144𝑜 , 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑚5 = ______________
If 𝑚4 = 28𝑜 , 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑚7 = ______________
8.6a
5
A) 1 & 2
Supplementary Angles
8.6a
2
22. Find the value of x.
2x + 3
x-6
Review Items
8.6b
23. Which of the following angles would appear to be closest to 77O ?
A
8.7
B
C
The student will
a) investigate and solve practical problems involving volume and surface area of prisms,
cylinders, cones, and pyramids; and
b) describe how changing one measured attribute of a figure affects the volume and surface
area.
8.7a
24. Circle all of the following that have a volume of greater than 250 cubic units.
5 cm
10 cm
4 mm
10 mm
3 mm
10 cm
4 in
10 in
10 ft
4 ft
8.7a
25. What is the surface area of a square based pyramid with a height of 7.2 feet, slant height
of 8.4 feet and base length of 8.8 feet?
8.7b
26. A candy company packages its product in boxes (a rectangular prism) that measures 4 in x 2 in x 5
in. The new supply clerk, by mistake, ordered boxes that measure 4 in x 4 in x 5 in. If the selling price of
the original box was $4.50, what should be the cost of new box of candy?
Review Items
8.8
The student will
a) apply transformations to plane figures; and
b) identify applications of transformations.
8.8a
27. Use this diagram for the following
questions.
A
Give the coordinates of G’ and H’ after
a reflection across the y-axis.
G’ (
,
)
H’ (
,
)
B
G
Give the coordinates of A’, B’ and C’
after a rotation of 90o clockwise.
8.8a
A’ (
,
)
B’ (
,
)
C’ (
,
)
C
H
Circle the all the statements you wish to select. You must select all the correct statements.
28. Use the graph to answer the two following questions.
A
The transformation of figure ABCD
onto figure A’B’C’D’ is a ______
C
Rotation 180O Clockwise
A’
Dilation with a scale factor of 2
D
B’
C’
Reflection across the y-axis
D’
Translation down 8 units and left
6 units
Transformations may affect the congruency, orientation or location of
an image. For the given transformation, what did not change?
Congruency
Orientation
Location
B
Review Items
8.8b
29. The following picture is an example of which type of transformation?
A. Reflection
B. Dilation
C. Translation
D. Rotation
8.9
The student will construct a three-dimensional model, given the top or bottom, side, and front views.
8.9
30. Sketch the top, front and side view of the following figure.
8.9
Circle the figures that correctly answer the question. You must circle all correct figures.
31. Which of the figures below would have the following views?
Front
Side
Top
Review Items
810
32.
The student will
a) verify the Pythagorean Theorem; and
b) apply the Pythagorean Theorem.
8.10a
32. Each of the following groups of numbers represents the lengths of the sides of a triangle. Which
lengths would produce a right triangle?
I. 3, 5, 4
8.10a
8.10b
II. 12, 13, 5
III. 8, 9, 10
A. I only
B. I, II, and IV
C. I and III
D. I, II and III
IV. 10, 24, 26
33. Find the length of the hypotenuse of a right triangle with legs that measure 8 cm and 13 cm.
(Round your answer to the nearest hundredth)
For this problem you will be using approximate measures.
34. Albino was enjoying flying a kite on a windy day in March. He wanted to determine how high his
kite was flying. He knew that he had let out almost 90 feet of string and he estimated that his dog had
run about 65 feet from him to get to a spot directly under the kite. Approximately how high above the
ground is his kite?
Solution: _________________________
Review Items
8.11
8.11
The student will solve practical area and perimeter problems involving composite plane figures.
For the following problem, round your answer to the nearest tenth of a meter. Use 3.14 for pi.
35. Consider the diagram of a track. If a runner
stays on the interior lane, running as close to the
field as possible, about how far will he run in 3
laps?
8.11
36. Find the area of the figure shown. The measurements given are in inches (use 3.14 for ).
20 20
18
Review Items
8.12
The student will determine the probability of independent and dependent events with and without
replacement.
8.12
Select an event and probability from each table. Write the type of event and probability in the blank
provided below each table.
37. A deck of cards contained 5 red cards, 9 purple cards, 4 green cards and 2 blue cards. What is the
probability that you draw a blue card, replace it, then draw a red card?
Probability
Type of Event
Dependent Event
Independent Event
Simple Event
35%
20%
2.5%
8.12
38. You were so hungry when you came home from school that you reached in bag of mixed types of
cookies and gobbled up the first cookie you grabbed. It was so good, you reached in for another. If the
bag contained 9 chocolate chip cookies, 10 sandwich cookies and 3 peanut butter cookies, what is the
probability that the first cookie you ate was a sandwich cookie and the second was a chocolate chip
cookie? Write your answer is simplest fraction form.
Review Items
8.13
The student will
a) make comparisons, predictions, and inferences, using information displayed in graphs; and
b) construct and analyze scatterplots.
8.13a
39. This scatterplot shows the relationships between the heights of 10 pairs of
mothers and daughters.
Based on the scatterplot, which of the following statements is true?
A
The tallest mother has the tallest daughter.
B
The shortest mother has the shortest daughter.
C
Taller mothers tend to have taller daughters.
D
Shorter mothers tend to have taller daughters.
8.13b
40. a) Construct a scatterplot for the following data
b) Sketch a line of best fit
c) Predict the time to run the mile after 7 weeks
of practice.
Weeks of
practice
Time to run
the mile (in
minutes)
1
2
3
4
5
13.8
12.2
10.9
10.1
9
Review Items
8.13b
41. Describe the relationship that exists between the independent and dependent
variables in the previous problem.
A.
Positive Relationship
C.
Negative Relationship
B.
No Relationship
D.
Constant Relationship
8.14
The student will make connections between any two representations (tables, graphs, words, and rules) of
a given relationship.
8.14
42. Which graph would represent the following situation.
Carlita has $5 saved and plans to save an additional $2 per week .
A.
B.
C.
D.
Review Items
8.14
43. Which of the following equations best represents the data in the table?
X
Y
-2
10
0
2
1
-2
3
-10
A
B
y = -4x + 2
y = -5x
C y = -2x + 6
D y = -7x - 4
8.15
The student will
a) solve multistep linear equations in one variable with the variable on one and two sides of
the equation;
b) solve two-step linear inequalities and graph the results on a number line; and
c) identify properties of operations used to solve an equation.
8.15a
44. Solve for x in the following equation.
1
𝑥−5=2
6
8.15a
45. What value of t makes −2(𝑡 − 4) = 12 a true statement?
8.15a
46. What is the value of c in the following equation?
15 + 4𝑐 = 𝑐
8.15b
47. Graph the solution to the following inequality.
4𝑥 − 8 ≥ 8
Review Items
8.15b
48. Use the graph to fill in the circle.
5𝑥 + 1
8.15b
11
Circle all the numbers you want to select. You must circle all correct numbers.
49.. Solve the inequality and choose all the solutions below.
−2𝑥 − 8 ≤ 10
-10
8.15c
-9
0
-21
15
50. What property would you use to justify the first step in solving 3(𝑑 − 8) = 21?
A.
B.
C.
D.
8.15c
9
Associative property of Addition
Additive inverse property
Distributive Property
Commutative Property of Addition
51. What property is used to justify the following step?
7𝑥 − 3.5 = 7.5
7𝑥 = 11
Review Items
8.16
8.16
8.16
The student will graph a linear equation in two variables.
52. Graph 𝑦 =
1
𝑥
2
−3
53. Complete the table of values and graph the equation 𝑦 = −3𝑥 − 1 .
x
y
-1
0
1
Review Items
8.16
54. Choose the table that represents the equation 𝑦 = −𝑥 + 1
A.
x
-2
0
2
y
-1
1
3
B.
x
-2
0
2
y
3
1
-1
C.
x
-2
0
2
y
3
-1
-1
D.
x
-2
0
2
y
-1
-1
3
8.17
The student will identify the domain, range, independent variable, or dependent variable in a given
situation.
8.17
55. Give the domain and range for the function in the table below.
Hours worked(x)
Pay(y)
8.17
3
$24
6
$48
8
$64
10
$80
56. The following table shows the number of lawns William mowed(n) and the amount of money he
earned(m). Identify the independent and dependent variables in this situation.
Number of Lawns
Mowed(n)
2
Amount of Money
Earned(m)
$50
3
$75
5
$125