3rd Nine Weeks Benchmark Review

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3rd Nine Weeks Benchmark Review
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Question 1

• Jimmy hits a baseball on 25 out of 75 tries
  during practice. What is the experimental
  probability that he will hit the ball on his next
  try? Write your answer as a fraction, decimal,
  AND a percent.

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Answer to Question 1

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Question 2

• For lunch, Claire can choose from hot dogs,
  hamburgers, or pizza. She can drink milk, orange
  juice, Gatorade, or coke. For a side order, she
  can have fruit, chips, or fries. How many
  possible choices does she have?

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Answer to Question 2

• To solve 3 x 4 x 3
• Answer is 36 possible choices

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Question 3

• A game includes a number cube and a spinner
  divided into five equal sections. Each player
  rolls the number cube, and spins the spinner.
  How many outcomes are possible?

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Answer to Question 3

• To solve 6 x 5
• Answer is 30 outcomes.

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Question 4

• A set of cards includes 14 yellow cards, 12
  green cards, and 24 blue cards. What is the
  probability of getting a yellow card, then
  another yellow card, without replacing the first
  card?

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Answer to Question 4

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Question 5

• Lisa has a 6 pairs of socks of different colors.
  How many ways can she choose two socks of
  different colors?

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Answer to Question 5

• 5 4 3 2 1 15
• 15 possible ways to choose socks of different
  colors.

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Question 6

• Solve

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Answer to Question 6

• To Solve

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Question 7

• Evaluate

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Answer to Question 7
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Question 8

• Find the solution

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Answer to Question 8
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Question 9

• Evaluate

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Answer to Question 9
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Question 10

• Evaluate

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Answer to Question 10
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Question 11

• Solve

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Answer to Question 11
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Question 12

• Simplify

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Answer to Question 12
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Question 13

• What is, x?

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Answer to Question 13
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Question 14

• What is y?

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Answer to Question 14
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Question 15

• Solve for x.

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Answer to Question 15
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Question 16

• Solve for y.

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Answer to Question 16
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Question 17

• Find h.

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Answer to Question 17
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Question 18

• Find x.

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Answer to Question 18
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Question 19
Find s.
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Answer to Question 19
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Question 20

• What is y?

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Answer to Question 20
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Question 21

• Louis missed 8 of the 40 questions on his test.
  What percent of the questions did he get wrong?

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Answer to Question 21
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Question 22

• Lisa missed 12 of the 40 questions on her quiz.
  What percent of the questions did she get
  correct?

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Answer to Question 22
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Question 23

• A diver is at 67 feet below sea level. The
  diver sees a shark 57 feet below her. Write an
  integer to best describe the depth of the shark.

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Answer to Question 23

• Start at 67 ft. The shark is 57 below that,
  so think, go down 57. When I go down, I
  subtract,
• 67 57, or 67 ( 57).
• This gives me 124 ft. or 124 ft. below sea
  level.

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Question 24

• The temperature in Seattle, WA was 19ºF. A cold
  front moved in and dropped the temperature by 24
  degrees. What was the temperature in Seattle
  after the cold front moved in?

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Answer to Question 24

• To solve 19 24 5
• Answer is 5ºF

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Question 25

• The temperature in Kansas City, KS was 2ºF.
  The temperature in Orlando, FL was 77ºF. What
  was the difference between these temperatures?

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Answer to Question 25

• When taking the difference between two
  temperatures, start with the higher temperature
  first, the subtract the low.
• So, 77 ( 2), becomes 77 2 79.
• Answer is 79º

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Question 26

• Suzy walked around a square garden that had a
  perimeter of 56 yards. What is the area of the
  garden?

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Answer to Question 26

• If the perimeter is 56 yards, then divide by 4
  to get one of the sides.
• s 14 yd.
• Use the area formula A s2
• Then, 14 x 14 196 sq. yd.
• The area is 196 yd2.

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Question 27

• Simon walked around a square garden that had an
  area of 225 sq. yards. He wants to put fencing
  around the garden. How many feet of fencing
  would he need to surround the entire garden? (1
  yard 3 feet)

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Answer to Question 27

• Remember, fencing means putting a perimeter
  around the garden. So, if area is 225, take the
  square root to find a s.
• s 15 yd.
• A side is 15 yd, but the perimeter is 4s, so
  then 15 x 4 60 yds.
• BUT, it asks for how many feet is needed, so
  1 yard 3 feet, then multiply 60 x 3, and get
  180 feet.
• Answer is 180 feet

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Question 28

• Define
• Isosceles Triangle

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Answer to Question 28

• Define
• Isosceles Triangle
• - a triangle with two congruent sides.

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Question 29

• Define
• Scalene Triangle

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Answer to Question 29

• Define
• Scalene Triangle
• - a triangle with no congruent sides.

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Question 30

• Define
• Equilateral Triangle

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Answer to Question 30

• Define
• Equilateral Triangle
• - a triangle with all sides congruent.

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Question 31

• Define
• Obtuse Angle

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Answer to Question 31

• Define
• Obtuse Angle
• - An angle that measures greater than 90º and
  less than 180º.

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Question 32

• Define
• Acute Angle

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Answer to Question 32

• Define
• Acute Angle
• - An angle that measures less than 90º.

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Question 33

• Define
• Right Angle

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Answer to Question 33

• Define
• Right Angle
• - An angle that measures 90º.

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Question 34

• Define
• Supplementary Angle

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Answer to Question 34

• Define
• Supplementary Angle
• - Two or more angles whose sum equals 180º.

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Question 35

• Define
• Complementary Angle

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Answer to Question 35

• Define
• Complementary Angle
• - Two angles whose sum equals 90º.

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Question 36

• Define
• Chord

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Answer to Question 36

• Define
• Chord
• - Segment with both endpoints on the circle.

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Question 37

• Define
• Diameter

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Answer to Question 37

• Define
• Diameter
• - Segment that has two endpoints on the circle,
  and passes through the center of the circle.

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Question 38

• Define
• Regular Polygon

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Answer to Question 38

• Define
• Regular Polygon
• - A polygon with all sides and all angles
  congruent.

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Question 39

• Define
• Segment

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Answer to Question 39

• Define
• Segment
• - Two points and all the points in a straight
  path between them.

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Question 40

• Define
• Line

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Answer to Question 40

• Define
• Line
• -All the points in a never ending straight path.

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Question 41

• Define
• Adjacent Angle

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Answer to Question 41

• Define
• Adjacent Angle
• -Angles that share a vertex and one side, but
  have no common interior points.

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Question 42

• Define
• Hexagon

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Answer to Question 42

• Define
• Hexagon
• -A six sided polygon.

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Question 43

• Define
• Decagon

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Answer to Question 43

• Define
• Decagon
• -A ten sided polygon.

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List of Covered Concepts

• Probability
• Counting principle
• Integer Rules
• Order of Operations
• Solving equations

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List of Covered Concepts, cont

• Geometry vocabulary
• Proportions in word problems
• Area and perimeter
• Absolute value