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2 nd Nine Weeks Exam Study Guide

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- 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.

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 ?

- 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

- 7n + 6n – 5 = 4n +4 2.y + 2(y - 5) = 2y + 2
- 8 + 8y = -164. 7p + 4 = 29 + 2p
5. -3x > 30 6. 10 < x + 7

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

- 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?

- 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.
- Estimate.
- Solve.
- What are the square roots of 25?
- Multiply. X
- Simplify.

- 0 rational/ irrational
2. rational/ irrational

3. 3.1415926535… rational/ irrational

4. 3.14159 rational/ irrational

6. -1 rational/ irrational

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.
- 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.

- 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| = 102. 3|y – 2| = 12
- 3. 7|b| < 144. |2x + 4| < 10

Complete the following statements.

- {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.

- {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}