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A2 Q3 Recovery

Last updated over 3 years ago

20 questions

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Question 1

1.

Simplify the algebraic expression completely.

Question 2

2.

Simplify
completely.

Question 3

3.

Simplify completely.

Question 4

4.

Simplify the expression completely.

-x-1

1

-1

x+1

Question 5

5.

Solve
over all real numbers.

{ }

{0}

{1}

{-1,1}

Question 6

6.

What are the vertical asymptotes of

x = 2

x = 1

x = -1

x = -2

thereare no vertical asymptotes

Question 7

7.

Determine all possible functions with an asyptote of x = 4

Question 8

8.

Determine the number of horizontal and vertical asyptotes for

0

1

2

3

Question 9

9.

What are the approximate solutions to this system of equations?

(-1,0) and (1,-5)

(-1,5) and (5,1)

(-1,5) and (1,6)

(-1,-1) and (0,0)

Question 10

10.

Identify the y-coordinate of each point in the solution set of the system of equations.

-4

3

3.78

-3.78

-16

1.58

16

4

-1.58

-3

Question 11

11.

The graph of functions f(x) and g(x) are shown in the graph. How many solutions does the system have?

Question 12

12.

Simplify f(g(x)) in terms of x if

Question 13

13.

Given

Which graph represents f(g(x))?

Question 14

14.

Determin the inverse of

Question 15

15.

Which of the following scenarios represents a combination?

The number of ways 6 people can be seated at a round table if 2 people must be seated next to each other.

The letters r,s,t,v,w are used to form 5-letter passwords for a security system.

The arrangement of 8 books on a shelf.

A seven person committee selected from the junior class.

Question 16

16.

Twelve runners are in a cross country race. How many different ways
can they finish first, second, and third?

1320

132

2200

220

Question 17

17.

If a temperature is constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150 pounds per square inch occupies a volume of 25 cubic feet. What is the constant of proportionality for this variation?

3750

673

6

1/6

Question 18

18.

The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same diameter.

1250 ohms

200 ohms

50 ohms

5000 ohms

Question 19

19.

The weights of eggs produced on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4 ounces. To be graded extra large, an egg must weigh at least 2 ounces. What is the probability that an egg from this farm will be graded extra large?

0.934

0.157

0.066

0.025

Question 20

20.

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The company makes 10,000 tires a month. What is the probability that if a radial tire is purchased at random, it will last between 20,000 and 35,000 miles?

94%

81%

68%

47%