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Real Test 2 Sp 06

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answers: b d d d c a a c d d a b a b b d d b c b a c b (see writtens below)

1. 2(t + 2) > 6(t - 2)

a 8 > t

b 4 > t

c -4 > t

d -4 < t

e nota

2. -17 + 8y > - 81

a y > 8

b y < -8

c y < 8

d y > -8

e nota

3. 17 - 8y < 81

a y > 8

b y < -8

cy < 8

dy > -8

e. nota

4. Ryder's Plumbing charges $25.00 plus $ 30.00 per hour. A family wants plumbing work done. They can spend less than $100.00 within their budget. What range x of hours of work done will allow them to stay within that budget. The translation of this problem is :

a25.00 > 100.00 + 30.00x

b100.00 = 25.00 + 30.00x

c100.00 < 25.00 + 30.00x

d100.00 > 25.00 + 30.00x

e. nota

5. The solution to the previous problem is:

a -2.5 hours < x

b -2.5 hours > x

c 2.5 hours > x

d 2.5 hours < x

6. Area of a rectangle. The width w is fixed at 2 cm. For what lengths L will the area be less than 86 cm² ? Hint: Be careful !

a L < 43 cm

b L > 43 cm²

c L = 43 cm

dnota

7. Is (1,0) a solution of the equation 4y + 2x = 2 ?

ayes

bno

8. y = (1/5)x - 3. If y = 2, then

ax = -4 and the point for this solution is (-4,2)

bx = -4 and the point for this solution is (2,-4)

cx = 25 and the point for this solution is (25,2)

dx = -25 and the point for this solution is (-25,2)

e nota

9.

Which equation best describes the above line ?

ay =-4

bx = 4

cy = 4

dnota

10.

Which equation best describes the above line?

ay = -5

bx = 5

cx = -5

dnota

11. 5y + 10 = 5x. Which graph best describes this equation ?

cnota

12. At 10:00 AM, Hakim rented a mountain bike from the Big Wheels Cyclery. He returned the bike at 4:00 PM after riding 120 mi. What is Hakim's average speed in mi/hour ?

a25 mi/hr

b20 mi/hr

c24 mi/hr

dnota

13.

What is the slope of this graph ?

azero

bundefined

cnota

14.

What is the slope of this graph ?

b1/2

c-1/2

e. nota

15.

What is the slope of this line ?

a-2

b-1/2

c1/2

dnota

16. Find the slope of the line containing the following two points: (-4,2) and (2,-1)

a-1/6

b-2

d-1/2

e nota

17. Find the slope and y-intercept of this line: 4x - 3y = 24. Hint: Solve for y to get the equation in the form y = mx + b, so you identify m = slope and b for the y-intercept = (0,b)

a3/4; ( 0,-8)

b-4/3; ( 0, 8)

c3/4; (-8, 0)

d4/3; ( 0, -8)

e nota

18. Write a point-slope equation that has the given point and slope:
m = -2 and (-3,0)

ay = -2x

by = -2(x + 3)

cy + 3 = -2x

dnone of the above

19. The previous answer can also be written in slope-intercept form as

ay = -2x

by = -2x - 3

cy = -2x - 6

dnota

20. Does this ordered pair satisfy the system of equations ?? (1,1) for b + 2a = 3 and 3b - 2a = -1

a yes

bno

cnota

21. Solve be substitution:
y = x
3x + y = 8
The solution for x lies between

a 0 and 3

b3 and 6

c6 and 9

dnota

22. Solve by substitution:
x - y = 0
x + y = 6
The solution for y is

dnota

here

23. In a recent game, JT of the ATL Hawks scored 24 points in 9 shots. Some of these shots were of type two-point and some of them were of type three-point. The equations for this problem are :

a
x + y = 24
2x + 3y = 9

b
x + y = 9
2x + 3y = 24

cnota

Written Problems:

24. Solve using the elimination method:
x - y = 6
-x + 2y = 15
Hint: Add the two equations to eliminate x.
What is the solution for y ? Answer: y = 21

25. What is the solution for x for the previous problem ? Answer: x = 27

26. Written problem. Find the value of y and x in problem 23. Answer: y = 6 and x = 3

27. Graph y < 2x + 3 by shading the correct half of the plane. Please label the two points you use to graph the line that divides the plane into the two halves. Answer: The dashed line goes through (0,3) and (1,5). Shade below the dashed the line.

28. Extra Credit. Simplify: (a⁴b¹²)/(a³b⁶) = ab⁶

29. Extra Credit. Simplify:(15b¹²)/(3b⁶) = 5b⁶

30. Extra Credit. Simplify: a⁴a³²= a³⁶ .