Review Work Answers

8/14/2019 Review Work Answers

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Name

1. Evaluate. (5 pts ea)

A.5 2

3

2 4

= 3

B. 2 35 3 5

+

+ = 1 / 4

2. Simplify.A. 12x(8x + 10) = 96x2 + 120x

B. 7x(9x3 7x2 + 8x + 7) = -63x4 + 49x3 56x2 49x

C. 4x2 (5x2 8x) + 9x = -x2 + 17x

D. 5(x + 3) 3x(2x 8) = -6x2 + 29x + 15

3. Solve.

A. 61

25

3

4x x = + x = 1.25

B. 6(5x 8) 20 = 11(2x 3) + 3x x = 7

C. 2(10 6x) = x 8x x = 4

D. 6x + 3(5x 4) = 12(2x 5) x = 16

4. Solve.

A. 4(1 3x) 14 > 4(2x + 3) 9x x < -2

B. 4(2x 6) < x + 6 x > 2

5. Solve and graph3.5 2x + 2.5 < 6.5.

-3 x < 2

4. Solve.A. 4(1 3x) 14 > 4(2x + 3) 9x x < -2

B. 4(2x 6) < x + 6 x > 2

5. Solve.

A. 4(1 3x) 14 > 4(2x + 3) 9x x < -2

5. Solve and graph3.5 2x + 2.5 < 6.5.

6. Evaluate 3

22

2

12

46

+

= 160/17

7. Solve 2[ x + 3(x 1)] = 18 x = 38. Solve 5

1

2(b 6) = 4 b = 8

9. Simplify 2(3x2 + 5x 3) (x2 6x + 7). 5x2 + 16x 13

10. Simplify x(x 5) + 5(x 5). x2 25

11. Solve and graph on a number line m 15 < 3(m 2).m > -4.5

12. Graph y x+ =11

3by making a table of values.

x y

-6 -3

-3 -2

0 -1

3 0

6 1

9 2

-9 -4


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13. Graph 2y + x = 2 using its intercepts. 14. Graph 2y 2 = x using its y-intercept and slope.

15. Write the equation of the line that contains (4, 4) and (4, 2). y = .25x - 3

16. Graph y = 2 and give its slope. Slope = 0 17. Graph x = 5 and give its slope. Slope = undefined

Source: US Geologic Survey Water Resources Investigations Report 894004Water Quality and Supply on Cortina Rancheria, Colusa County, California

Table 1:Characteristics of selected streams along the west side of the Sacramento Valley

Gaging StationEstimated mean annual

rainfall (inches)

Drainage

Area (mi2

)

Mean annual flow

(ft3

/sec)

average annual runoff per

unit area (in.)Middle Fork Cottonwood

Creek near Ono40 244 254 14.1

Red Bank Creek near RedBluff

24 93.5 44.3 6.4

Elder Creek at Gerber 30 136 96.2 9.6

Thomes Creek atPaskenta

45 194 304 21.2

Grindstone Creek nearElk Creek

47 156 193 16.8

Stone Corral Creek nearSites

21 38.2 6.1 2.2


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Bear Creek near Rumsey 27 100 44.3 6.0

18. Plot the scatter plot of Annual Rainfall (x) against AnnualRunoff (y).

19. Draw a line of best fit and find the equation of that line.

20. Graph the scatter plot on your graphing calculator and give theline of best fit calculated by your calculator. Is this close towhat you found in problem #19?

21. Write the equation of the line that contains (1, 2) and (3, 2).

y = 2x 4

Identify each function as linear, exponential, quadratic, or reciprocal.

22. 2x2 + y = 0 quadratic 23. 2x = y linear

24. x = 0 constant linear 25. 2x + y = 0 exponential

26. x + y = 0 linear

27. Write the equation for the line that contains (0, 6) and is perpendicular to 3x + 4y = 120. y = 4/3x + 6

28. Write the equation for the line that contains (2, 3) and is parallel to 3x + 4y = 120. y = -.75x + 4.5

29. Solve the system of equations by graphing. Sketch yourgraph.

y + 2x = 2 (2, -2)

2y + x = 2

30. For each function below:A. Give the general form of the function.B. For theLinear Function, state whatm andbrepresent.

Exponential Function, state whata andb represent

Quadratic Function, state whata andc represent

C. Sketch an example of the graph of the function. (You do not need to give me an x/y table.)For theExponential Function, draw the 2 different types of graphs and the name given to identify

each.Quadratic Function, draw the 2 different types of graphs and how to determine when you will have each type.


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QUADRATIC FUNCTION

y = ax2 + bx + c

a > 0 opens up

a < 0 opens down

c = y-intercept

EXPONENTIAL FUNCTION

y = a(b)x

a = initial value

b = multiplier

LINEAR FUNCTION

y = mx + b

m = slope

b = y-intercept

31. Write the equation of the line through and .3

1,22,

3

1

and y = x 7/3

32. Find the value of k that will satisfy the given condition. k = -7

kx 5y = 8 are parallel.

7x + 5y = 10

33. The units digit of a two-digit number is the tens digit. If the digits are reversed, the sum of the new numberand the original number is 132. Find the original number. (HINT: solve a system) 84

34. Solve by graphing2y + 3x = 6 Infinite solutions4y + 6x = 12

36. Solve by graphing 37. Solve by substitution2x + y = 4 (2, 0) 2r + s = 1 (3, -5)x y = 2 r s = 8

38. Solve by elimination 39. Solve by any method.

4a + 3b = 2 (-5, 6) 4x + 6 = 4y (5.25, -6.75)5a + 7b = 17 5x + 3y 6 = 0

40. Solve and label the solution set. 41. Solve and label the solution set.

y < 2 y < -2 x + 2y 7 y -.5x + 3.5y x > 1 y < x + 1 3x 4y < 12 y > .75x - 3

42. The sum of the digits of a two-digit number is 8. If 16 is added to the original number, the result is 3 timesthe original number with its digits reversed. Find the original number. 62

43. Ramona is staying at a vacation resort called Stony Cabins. She rents a canoe and takes 1.5 hours to paddle hercanoe upstream 6 miles. Ramona turns her canoe around and returns downstream to her cabin in exactly 1 hour.


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What is the rate of the creeks current and the rate of Ramonas paddling in still water? 5 mph canoe; 1 mphcurrent

44. The coin box of the hospitals vending machine contains 6 times as many quarters as dimes. If the total amountof money at the end of the day was $28.80, how many of each coin was in the box? d=18, q=108

45. In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old as Maya will be 10

years from now. How old are they now? d=20, m=25

46. A 4% salt solution is mixed with a 16% salt solution. How many milliliters of each solution are needed toobtain 600 milliliters of a 10% solution? x=y=300

47. Simplify (2 + 4x + 2x2) + (4x2 6). 6x2 + 4x - 4

48. Simplify 9 5v2 + 5v4 (10v2 + 7v 11). 5v4 15v2 7v + 20

49. What is the degree of 4 + 2x3 + x? 3

50. Solve 5 8 12x = . x = 4 or -4/5

51. Solve and graph 7 3 >x . x < 4 or x > 10

52. Solve and graph x


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