Core Algebra I



FOUNDATIONS Name:

REVIEW 3.6-3.9

Cierech/Dahl Date:

CALCULATOR

Write each fraction as a decimal using the correct notation for a repeating decimal.

1.) [pic]= 2.) [pic]=

Write each list of numbers in order from least to greatest.

3.) [pic]

, , , , ,

4.) [pic]

, , , , ,

Give TWO equivalent ratios for each of the following ratios

5.) [pic] = , 6.) [pic]= ,

Determine whether or not each of the following statements are proportions.

7.) [pic] 8.) [pic]

The North Hunterdon Girl’s Basketball team averaged making 18 field goals (2 or 3-point shots) per game out of 24 field goal shots per game. They also made 8 free throws out of 12 attempts per game.

9. What was the ratio, in lowest terms, of field

goals made to field goals attempted?

10. What was the ratio, in lowest terms, of free

throws made to free throws attempted?

11. How many field goals would you expect North

to make if they attempt 48 field goals?

12. How many free throws would you expect North

to make if they attempt 18 free throws?

Complete each proportion. SHOW ALL STEPS!

13.) [pic] 14.) [pic]

15.) [pic] 16.) [pic]

Write each decimal as a percent.

17.) [pic] 18.) [pic]

Write each percent as a decimal.

19.) [pic] 20.) [pic]

Write each fraction as a percent.

21.) [pic] 22.) [pic]=

Write each percent as a fraction in lowest terms.

23.) [pic] 24.) [pic]=

Solve the following percent problems. Remember…

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25.) What is 25% of 150? 26.) 10 is what percent of 85?

27.) 70 is 54% of what number? 28.) Find 40% of 90.

Billy and Susie each took turns flipping a coin and then rolling a six-sided number cube 10 times. They recorded their results in the following table. Use their results to answer the following questions on the experimental probability of their experiment.

|TRY NUMBER |COIN |DIE |COMBINED |

|1 |T |5 |T-5 |

|2 |T |4 |T-4 |

|3 |H |1 |H-1 |

|4 |H |1 |H-1 |

|5 |T |3 |T-3 |

|6 |T |6 |T-6 |

|7 |T |3 |T-3 |

|8 |H |2 |H-2 |

|9 |H |5 |H-5 |

|10 |T |6 |T-6 |

29. What was the PROBABILITY of getting a HEAD on the coin flip?

30. What was the PROBABILITY of getting a TAIL on the coin flip?

31. What was the PROBABILITY of rolling a 6 on the die?

32. What was the PROBABILITY of rolling an ODD on the die?

33. What was the PROBABILITY of rolling a PRIME on the die?

34. What was the PROBABILITY of getting a HEAD and then

rolling an EVEN on the die?

35. What was the PROBABILITY of getting a TAIL and then

rolling a 3 on the die?

36. Create a sample space for the following situation: Tony spins the spinner below and then flips a coin. What are all 8 possible outcomes?

Suppose a bag contains 16 marbles: 8 red (R), 6 Green (G), and 2 yellow (Y). Two marbles are randomly drawn. Use a grid to find the following probabilities:

Sample space:

| |First marble returned |First marble not returned |

| |(independent event) |(dependent event) |

| P(R, then R) |[pic] | |

| 38.) P(R, then G) | | |

| P(R, then Y) | | |

| P(G, then R) | | |

| P(G, then G) | |[pic] |

| P(G, then Y) | | |

| P(Y, then R) | | |

| P(Y, then G) | | |

| P(Y, then Y) | | |

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