1. Practice Math 10C Final Exam Review.

2. Write as an entire radical Root index tells us how many times the coefficient Needs to be multiplied to itself to get back Into the radical position.

3. Expand and simplify: (8g – 3)(7-3g) Use the foil method.

4. A sphere has a surface area of 10.1 m 2. What is the radius of the sphere to the nearest tenth of a metre?

5. the volume of this composite object, which is a right cylinder and a hemisphere, to the nearest tenth of a cubic metre 2.3 m 6.2m Half the sphere The total volume is 25.48 + 103.03 = 128.52m

7. A straight section of an Olympic downhill ski course is 34 m long. It drops 16 m in height. Determine the slope of this part of the course. m = rise/ run m = -16/34 = -8/17

8. Solve this linear system 4x – 3y = 10 2x + 5y = 18 Use elimination: Equation 2: (-2) ( 2x + 5y = 18) = -4x – 10y = -36 4x – 3y = 10 -4x – 10y = -36 -13y = -26 y = 2

9. Telephone companies generally charge a flat monthly rate plus an amount that varies with the number of minutes of long distance calls. The graph of the linear function used by a phone company to calculate bills is shown in the diagram. The equation of the linear function used by the telephone company described above is a. C = 20n b. C = 25n c. C = 0.20 + 25 d. C = 0.25 + 20

10. The linear functions y = 5x - 3 and y = - 5x + 3 are graphed. The resulting lines are most accurately described as A. being parallel to each other B. having the same y-intercept C. having the same x-intercept (x,0) D. being perpendicular to each other

11. An architect draws this diagram of a wheelchair entrance ramp for a building. Determine the angle of inclination of the ramp to the nearest tenth of a degree.

12. Expand and simplify (-9m – 1) (5 + 8m) Use FOIL

13. Evaluate Negative exponent means fractions.

14. Joshua went on a bike ride. For part of the ride, Joshua stopped to play in a park with a friend. Which segment of the graph best describes this part of his bike ride?

15. This is a graph of the function. Determine the domain value when the range value is 2 X = ?,Y = 2 2 = -3(x) + 2 0 = 3x x = 0

16. A display contains 40 disposable flashlights, some worth $1.19 and the remainder $1.27. Determine the number of $1.27 flashlights if the total value of the flashlights is $49.76. Equation 1Equation 2 Cheaper Disposable (x)x1.19x Expensive Disposable (y)y1.27y Total4049.76 x + y = 401.19x + 1.27y = 49.76 Substitution rearrange equation 1. X = 40-y 1.19(40-y) + 1.27y = 49.76 47.60-1.19y + 1.27y = 49.76 47.60 +0.08y = 49.76 -47.60 0.08y = 2.16 Y =27 disposable flashlight ($1.27)

17. Which power with a negative exponent is equivalent to 1/8 ? a.-2 -3 b.3 -2 c.2 -3 d.(-2) 3

18. Hint: If you forgot how to factor these polynomial, then do the foil method on the choices given. (11a + 5)

19. Two trees are 55 yd. apart. From a point halfway between the trees, the angles of elevation of the tops of the trees are measured. What is the height of each tree to the nearest yard? Use trig. Tan 29* = opp/27.5 0.5543 = opp/ 27.5 Opp = 0.5543(27.5) Opp = 15 m

20. Ax + By + C = 0 A must be a whole number.

21. Look at the answers, notice that there is a 6 factored out. This means you have to divide all the terms by 6 before you factor. 6(16w 2 + 54w - 7)

22. Find slope for DN. Since the two lines are parallel, then the second line has the same slope. m dn = y2 – y1/ x2 – x1m = -4 – 3 / 12 – (-5) = -7/17 m = -8 – 6 / 24 – (-10) = -14/34 = -7 / 17

23. 354 mi x 1.6 km = 566.4 km 1 mi 1 mi. = 1.6 km

24. Convert to Y = mx+ b Math trick 4(y+1) = 4(3/4)(x+3) 4y + 4 = 3(x+3) 4y +4 = 3x + 9 - 4 -4 4y = 3x + 5 4 4 4 y = ¾ x + 5/4