Review Items
8.1 / The student willa)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.
8.1a / 2. Simplify the expression.
81.a / 3. Simplify the following expression.
8.1a / 4. Simplify the following expression.
8.1b / 5. Which number is the greatest? The least? Show your work.
38%, , 3.8, , 3
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?
- Integer
- Rational Number
- Whole Number
- Real Number
8.2 / 8. Which number belongs to the set of rational numbers?
8.2 / 9. What is the difference between the set of natural numbers and whole numbers?
8.2 /
10. Which of the following numbers are integers?
- 0.4 3 -6
8.3 / The student will
a)solve practical problems involving rational numbers, percents, ratios, andproportions; 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.
8.4 / The student will apply the order of operations to evaluate algebraicexpressions for given replacement values of the variables.
8.4 /
16. Evaluate the expression. Write your answer in the blank provide.
when a = 95, b = 2 and c = 25
8.4 / 17. Use to find the Fahrenheit temperature for the Celsius temperature of
8.5 / 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?
- 6
- 13
- 1
- 3
8.5b / 19. Between which two consecutive whole numbers does lie?
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 /
20. Use this diagram to complete the following..
A) / B) / C)
D) / E) / F)
8.6a / 21. Use the diagram from the previous problem to fill in the blanks with the correct angle measures.
If
If
If
If
If
8.6a / 22. Find the value of x.
8.6b / 23. Which of the following angles would appear to be closest to 77O ?
8.7 / 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 thevolume and surface area.
8.7a /
24. Circle all of the following that have a volume of greater than 250 cubic units.
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?
8.8 / The student will
a)apply transformations to planefigures; and
b)identify applications of transformations.
8.8a /
8.8a /
28. Use the graph to answer the two following questions.
8.8b / 29. The following picture is an example of which type of transformation?
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 / 31. Which of the figures below would have the following views?
Front Side Top
810 / The student will
a)verify the Pythagorean Theorem; and
b)apply the Pythagorean Theorem.
8.10a / 32.
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 II. 12, 13, 5 III. 8, 9, 10 IV. 10, 24, 26
A. I only B. I, II, and IV
C. I and III D. I, II and III
8.10a / 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)
8.10b /
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?
8.11 / The student will solve practical area and perimeter problems involving composite plane figures.
8.11 /
8.11 / 36. Find the area of the figure shown. The measurements given are in inches (use 3.14 for ).
8.12 / The student will determine the probability of independent and dependent events with and without replacement.
8.12 / 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?
Type of Event
Dependent Event
Independent Event
Simple Event
Probability
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.
8.13 / The student will
a)make comparisons, predictions, and inferences, using informationdisplayed 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?
AThe tallest mother has the tallest daughter.
B The shortest mother has the shortest daughter.
C Taller mothers tend to have taller daughters.
DShorter 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 / 13.8
2 / 12.2
3 / 10.9
4 / 10.1
5 / 9
8.13b / 41. Describe the relationship that exists between the independent and dependent
variables in the previous problem.
- Positive RelationshipC. Negative Relationship
- No RelationshipD. 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.
A. B.
C. D.
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 y = -4x + 2 C y = -2x + 6
B y = -5x 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.
8.15a / 45. What value of t makes a true statement?
8.15a / 46. What is the value of c in the following equation?
8.15b / 47. Graph the solution to the following inequality.
8.15b / 48. Use the graph to fill in the circle.
11
8.15b / 49.. Solve the inequality and choose all the solutions below.
-10 9 -9 0 -21 15
8.15c / 50. What property would you use to justify the first step in solving ?
- Associative property of Addition
- Additive inverse property
- Distributive Property
- Commutative Property of Addition
8.15c / 51. What property is used to justify the following step?
8.16 / The student will graph a linear equation in two variables.
8.16 / 52. Graph
8.16 / 53. Complete the table of values and graph the equation .
x / -1 / 0 / 1
y
8.16 / 54. Choose the table that represents the equation
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) / 3 / 6 / 8 / 10
Pay(y) / $24 / $48 / $64 / $80
8.17 / 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) / Amount of Money Earned(m)
2 / $50
3 / $75
5 / $125