Pre calculus test

MAC 1147 TEST 1

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PRINT YOUR NAME

1. Solve ( 3x + 11 )2 = 49 __________________

2. Solve x2 - 6x - 10 = 0 __________________

3. Solve 6x3 - 24X= 0 ___________________________

4. Solve x3/5 = 125 _________________-

5. Solve x4 – 2x2 – 24 = 0 __________________

6. Solve √4𝑥 = x – 3 __________________

7. Solve 2x3 – x2 – 3x = 0 __________________

8. Solve x3 +5x2 -4x – 20 =0 __________________

9. Solve for d 4d – 5 = ad + 2 __________________

10. Solve for t h = 1

2 at2 __________________

11. An open box is to be made from square sheets by cutting equal sizes from each side,

measuring 4in from each corner. The box must have a volume of 1600 cubic inch. Find

the dimensions of the box.

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12. As a summer project, you want to have your bed, measuring 4 ft by 8 ft, to be well

centered in your room. The perimeter of you room is 100 ft. what uniform length

should be set aside so the=at your bed is well centered.

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13. Apply difference of quotient 𝑓 (𝑥+ℎ)−𝑓(𝑥)

ℎ given

f(x)= 4x2 + 2x +3 ____________

14. Find the average rate of change from x= 2 to x=4

given f(x)= - 2x2 +7x +5 _____________

15. Find the center and radius of the circle given

x2 + y2 +10x +14y +10 = 0

Standard equation of the circle _____________

center _____________

radius _____________

16. Find the center, radius, and the equation of the circle given two

endpoints of the diameter.

( 3, 5), (-1, 8)

center _____________

radius _____________

equation _____________

17. Find domain of each function using interval notation

A. f(x) = 2𝑥+6

𝑥2+9𝑥+8 _____________

B. f(x) = 3𝑥

√ 𝑥+2 _____________

C. f(x) = √2𝑥 + 12 _____________

D. f(x) = √7 − 2𝑥 _____________

18. Find intervals of increase, decrease and constant

Interval(s ) of increase

Interval(s) of decrease

interval;(s) of constant

19. A square is inscribed inside a circle with equation x2 + y2 = 25. Find the area of the

square.

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20. Find the equation of the tangent line at a point on the circle x2 +y2 = 25 at the point

P(4,3)

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