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2 nd Nine Weeks Exam Study Guide. Mary has two spinners. One is numbered 1-6 and the other is numbered 1-3. If she spins both spinners, what is the probability that both spinners will show the number 3?

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2 nd nine weeks exam study guide
2nd Nine Weeks Exam Study Guide

  • Mary has two spinners. One is numbered 1-6 and the other is numbered 1-3. If she spins both spinners, what is the probability that both spinners will show the number 3?

  • Kristin is going to the school dance. She has two dresses, six necklaces, and five pairs of earrings. How many different outfits does she have to choose from if she chooses only one dress, one necklace, and one pair of earrings?

  • Set A = { -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

    How many ways can you choose a negative or even number from Set A?


  • Your teacher randomly selects a number between 1 and 50. What is the probability of you guessing the same number that your teacher selected in 1 try? Express your answer as a percent.

  • John spins a spinner twice that is divided into 4 equal parts numbered 1 through 4.

    • Make a tree diagram and list the outcomes in a sample space.

    • What is the probability that the sum of the two spins would equal 3? _____

  • If P(G) = , determine P(G’) _________

  • You are spinning a 4-section spinner and rolling a die. How many events?


  • You flip a coin 75 times and document the results. Is this an example of theoretical or experimental probability?

  • RHMS Wildcats are playing SEMS in a playoff game. When the Wildcats make a touchdown they will score 4 points. When the Mustangs make a touchdown they will score 7 points. Is this a fair game?


Simplify. an example of theoretical or experimental probability?

1. = ______________________ 2. + 3 = ______________

3. + = ________________ 4. =___________________

5. ( ) =_________________

6. Will line segments of 5 cm, 10 cm, and 8 cm form a right triangle? ____ Prove your answer.

7. Will the following line segments form a right triangle? ________ Prove it.

ft, 9 ft, and 10 ft

8. What are the square roots of 225?

9. Which is greatest 7, , or 11? _______ Prove it.

10. Put in order from least to greatest: 12, 5, ,

11. Is rational or irrational?

12. Is rational or irrational?

13. A square lot has an area of 400 ft.2 How long is the side of the square?

14. What is the best whole-number estimate of ?


Determine if the point is a solution
Determine if the point is a solution an example of theoretical or experimental probability?

  • y = 2x + 5 (5, 15)

  • y = x + 4 (3, 9)

  • y < -3x + 2 (3, 7)

    Solve for y.

  • y = 3x + 2 if x = 7 2. y = -2x -4 if x = 3


Solve the following
Solve the following : an example of theoretical or experimental probability?

  • 7n + 6n – 5 = 4n +4 2.y + 2(y - 5) = 2y + 2

  • 8 + 8y = -16 4. 7p + 4 = 29 + 2p

    5. -3x > 30 6. 10 < x + 7


Write each expression with one exponent
Write each expression an example of theoretical or experimental probability?with one exponent:

1.7 x 7 x 7 x 7 x 7 x 7 x 7 = __________

  • 3∙3∙3∙3∙3∙3∙3∙3∙3 = ______________

    4.

3. Write with a positive exponent: x-3


Find the missing side length
Find the missing side length an example of theoretical or experimental probability?

  • 2.

5

3

8

6

  • Solve.

  • A square lot has an area of 400 ft.2 How long is the side of the square?

  • 2. Joey has a square bedroom with an area of 225 ft2. What is length of Joey one of Joey’s walls?


Function or not
Function or Not an example of theoretical or experimental probability?

  • 2.

  • {(-4, -3), (-3, -7), (1, -8), (3, -9), (4, -5)}

  • {(0, 6), (3, 1), (-2, 5), (-6, 4), (6, 1)}

  • 5. {(5, -1), (5, 1), (5, -4)}


  • Simplify. an example of theoretical or experimental probability?

  • Estimate.

  • Solve.

  • What are the square roots of 25?

  • Multiply. X

  • Simplify.


Determine if each of the following is a rational or irrational number
Determine if each of the following is a rational or irrational number.

  • 0 rational/ irrational

    2. rational/ irrational

    3. 3.1415926535… rational/ irrational

    4. 3.14159 rational/ irrational

    6. -1 rational/ irrational


Scientific notation
Scientific Notation irrational number.

1. Write 2,008, 050,000 in scientific notation.

2. Write 0.0000603 in scientific notation.

3. Write in standard notation, 6.7 x 104

4. Write in standard notation, 3.6 x 10-2


  • Solve. irrational number.

  • For g(x) = 2x2 + 3; find g(2)

  • For f(x) = 5x – 3; find f(-1)

  • 3. Name the domain and range for the relation.

  • {(-1, 2), (3, 5), (-1, 4), (3, -7)}

  • Find the range of the relation y = 5 – x for the domain {0, 1, 2, 3}

  • Find the pattern for the following number sequence. 1, 3, 5, 7, 9

  • For the sequence 1, 3, 5, 7, 9 determine the 20th term.


Write the correct algebraic expression for each phrase
Write the correct algebraic expression for each phrase. irrational number.

  • The quotient of 5 and y

  • The product of 7 and m

  • x less than 6

  • r less 10

  • Twice x

  • Simplify each expression.

  • 3(x + 6) + 2(x – 1)

  • -(2b + 8) + 3(b + 2)

  • Solve and graph.

  • |x + 3| = 10 2. 3|y – 2| = 12

  • 3. 7|b| < 14 4. |2x + 4| < 10


Complete the following statements. irrational number.

  • {15, 22, 23, 26} {23, 44, 65}

  • {15, 22, 23, 26} {15, 23, 44, 65}

  • What is the symbol for subset?

  • What is the symbol for element?

  • What is the symbol for empty set?

  • If two sets having nothing in common they are called _________________.


True or False. irrational number.

  • {even whole numbers} c{all whole numbers}

  • {Snickers, Milky Way} = {candy bars}

  • {days of the week} = {March, April, May}

  • {The letters is the word “stress”} = {s,t,r,e}

    5. {odd numbers} c{even numbers}


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