Final Review Packet #1

Final is double period on Wednesday, June 18th.Worth 150 points for the 4th quarter!

40 multiple-choice questions (2.5 pts each) and7 short answer questions.

UNIT 1 - Fractions & Integers1, Four pieces of wood, each 14-? inches long, are required for building

a frame. If all four pieces are cut from one board, how long shouldthe board be, to the nearest whole foot?

UNIT2-Expressions, Equations, Inequalities „2. Subtract (4x- 8 + 5x2) from (x:-5x-8) XZ-Sx.-g-^< -tr B -

3. What must you add to 4 - 5x to have a sum of 0?

4. Solve and graph on a number line: 2x + 5-4x>-19+ S-r

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-2.X5-3-H•=T"_ "=T

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5. The perimeter of a rectangle is represented by 16x - 10. The length is represented by 7x + 3.What expression must represent the width?

UNIT 3 - Linear Functions6. Calculate the slope of the line passing through: (2,-1) and (8,13)

7. Is the following a function? Explain. {(2, 4), (3, 4), (4, 4), (5, 4)}

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8. Find the x-intercept and y-intercept of 3x - 4y = 24

---C. x = g9. What is the equation of the line passing through (9, 3) that has a slope of zero?

10. Write the equation of the line parallel to 3y = 4x + 9 that passes through (6, -5).- "

11. The cost of renting a car from the Frugal Car Rental Company includes a $20 non-refundabledeposit and a travel cost of 4C per mile. Find an equation to represent the total cost, C, if a car isrented and driven n miles. Then, find two ordered pairs that satisfy this condition.

JC- 20 + .0?n) (Oj Z°)

•12. Find the rate of change in the following linear relationships.

~ —^=7.

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W>

5x-6y =

K-f

.-L

UNIT 4 - Ratios, Proportions & Percents _______13. Find the unit price and determine which one is a better buv?(20ozfor$3.25Jor 30 oz for $5

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14. The enrollment in a school increased from 1,150 to 1,245. Find the percent change to thenearest tenth of a percent. ^S" ,_ .— ̂ — — ̂ — ̂

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15. You traveled 12— miles in — hours. What is your average rate of speed in miles per hour?

16. How much money will you earn if you deposit $6750 at a simple interest rate of 3.25% for 4

T - ff?:?. 517. The cost of a concert ticket increased by 18% from one year to the next. If the ticket cost$85.50 last year, how much will it cost this year?

18. Is there a constant rate of change in the graph below? If so, what is it? Does the graphrepresent a proportional relationship? Explain.

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UNIT 5 - Probability & Statistics19. The following list of numbers represents the number of runs scored in 8 games by the baseballteam: 5, 3, 11, 7, 3, 1, 4, 10. To the nearest tenth, find the mean absolute deviation of the data.

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= 5-«.5, $r.S, I.S^.S, H.5; I.S, M.

20. You want to survey 7'" graders about what they like to do with their free time after school.Give an example of a valid sampling method. Give an example of a sampling method with bias.

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21. Compare the measures of center and variation for the sets of data represented by the doublebox plot below. t"\e^\a>* - too

•22. A bag contains 5 red, 9 blue, and 6 white marbles. You choose 2 without replacement.a) P(both the same color) b) P(blue, then red or white)

12.7. (380

23. A fair 8-section spinner was spun 25 times and the results are shown below. What is theexperimental probability of the spinner landing on 1? How does that compare with the theoreticalprobability of the spinner landing on 1?

Number1

2

3

4

5

6

7

8

Frequency

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UNIT 6 - Exponents & Roots24. Express in simplest radical form: -^l

25. Simplify: -

X.

X"

26. Simplify: (3x4y"5)"

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27. Simplify: —

28. Evaluate: 5° ^

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33. Angle 1 can be represented by (12x -f 30) and angle 7 can berepresented by (3x). Find the measure of both angles.

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UNIT 8 - Systems of Equations38. One phone company charges $52 and $.05 per text message. Another phone company charges$37and$.09per text message. For what number of text messages will the costs of the companiesbe equal? 52.+ .OS'K. - £3 '

|S * • OS* = . e>

48. A triangle with an area of 18 square inches was dilated by a scale factor of -. What is the area

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•49. a) Dilate by -X. *SO. a) Reflect over the x axis.b) Rotate the image 90° counterclockwise. b) Take the image... T(4,7|

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Tlff-ffri-'il̂ trrt;

«ftrrilrtriic) How long is line segment AC?

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UNIT 10-Polynomials51. a) Factor: x2-8x-20 b) Factor: x2-19x +

*5Z: Simplify: (2x - 5)2 - (x + l)(7x - 3)

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