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Review 3

1. Patti is on the varsity softball team. So far this season she has 55 hits in 82 times at bat. Based on this information, which is most likely to be the total number of hits Patti will have for the season if she bats 15 more times? Write a proportion: 55/82=x/97 and cross multiply. X=65 Answer C.

A. 10 B. 22 C. 65 D. 70

2. A 14-foot ladder is leaning against a house so that its top touches the top of the wall. The bottom of the ladder is 8 feet away from the wall. Which of these can be used to find the height of the wall? Answer C

A. In a right triangle with a 14-foot leg and an 8-foot leg, find the length of the hypotenuse.

B. In a right triangle with a 14-foot leg and an 8-foot leg, find the altitude of the hypotenuse.

C. In a right triangle with a 14-foot hypotenuse and an 8-foot leg, find the length of the other leg.

D. In a right triangle with a 14-foot hypotenuse and an 8-foot leg, find the altitude of the hypotenuse.

3. If the horizontal or vertical distance between adjacent pegs in the geoboard shown below is 1 unit, which is closest to the area of the polygon modeled on the geoboard? Answer B

[pic] [pic]

4. Some employees of Ace Corporation left their office building and drove separately on the same road to a convention. The graph shows the distance traveled by each employee after 5 hours of nonstop driving at 4 different speeds. Slope closest to 0 or horizontal is the slowest. Answer B.

[pic]

Which employee drove at the slowest rate to the convention?

A. Mr. Able B. Ms. Ruiz C. Ms. Woo D. Mr. Hill

5. A small rocket is launched from an air force base. Its height at any given time can be modeled by the graph below. When is the first time the rocket will be 20 feet from the ground? 0.5 seconds

6. Which inequality describes the

value of [pic] in the graph of

[pic] if this equation

models the height of the section

of the roller coaster shown? The parabola is facing upward which means that a is positive therefore the answer C.

A. -1 < a < 0 B. a < -1 C. a > 0 D. a < 0

7. What are the zeros of the function f(x)=-4(x – 3)(x + 5)? Make each of the parentheses equal 0 separately to find zeroes. Therefore the zeroes are 3 & -5. Answer B.

A. -12 and 20 B. -5 and 3

C. -4 and -5 D. -3 and 5

|X |Y |

|1 | 5 |

|2 |10 |

|3 |15 |

8. What is the rate of change of the table?

Rate of change = slope. [pic]

9. Given f(x) = x2 + 2x – 4 Find f(-6) = ________________

Plug (-6) in for x in equation. f(-6)=(-6)2+2(-6)-4=20

10. For Joey’s job at Kroger’s he earns $7 per hour. His total pay is represented by the function w = 7h, where h is the number of hours worked and w is the total amount of wages. Which is the independent quantity in this function? h is the independent quantity because it doesn’t depend on another quantity.

A. w B. 7 C. h

11. The graph of the equation y = 0.4x2 – 2 is shown below.

[pic] [pic]

Add 3 to the -2. Answer A.

12. Which rectangle is similar to RSTU? Check to make sure the scale factor is the same for all sides. Answer D has a scale factor of 2.

A B C D

13. About how many feet of fencing are needed to enclose a rectangular garden with a 30-foot-long side and a 40-foot-long diagonal? Use pythagorean theorem to find the width (w2=402-302=700 w=(700=26.5 ft). Use Perimeter equation to find the fencing needed. P=2l+2w=2*30+2*26.5=113 ft. Answer A.

A. 113 ft. B. 133 ft.

C. 140 ft. D. 160 ft.

14. Joe is covering a box 12 feet high, 8 feet long, and 3 feet wide with fabric. How much will it cost if fabric is $3.99 a square yard? Find the area of each side of the box and add to get the surface area, 312 ft2. Convert from square feet to square yard by dividing surface area by conversion factor: 9 sq.ft./sq.yd. Surface area is 35 sq.yd. Find cost by multiplying Surface area by the cost per yard. Answer B.

A $91.77 B $138.32

C $397.23 D $1,191.68

15. Which equation is the parent function of the graph represented below?

Parent function is a quadratic which has an equation of y=x2.

Answer H

[pic] [pic]

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[pic]

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