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Equations and Inequalities
100

What is the probability of selecting a male from a group of 4 males and 8 females?

1/3

100

What is the area of a rectangle that is 29ft by 78ft?

2262 ft2

100

A scoutmaster is preparing his troop for their annual fishing expedition. He surveys each of his scouts to find out how many fishing poles they own. What is the mode of the number of poles owned?

0 poles (Most common answer)

100

Expand:

7(8k - 4+2h)

56k -28b +14h

100

Simplify: 

8x- 8x3 + 16 + 4x+ 8x2

-4x+ 16x2 + 16

200

 On an exam the first four questions are true/false questions. 

 What is the probability that all questions are true?  


1/16

200


84 in2

200

An airline asked its agents to assign convenience ratings on a scale of 1–7 to 114 flights leaving one of its hub cities. The histogram below shows the distribution of the ratings of the 114 flights. What is the median rating assigned by the agents?

5

Median = Middle number

200

Expand the following:

5(7j +10)

35j+50

200

What is the value of x in the following equation?

2x2=32

x = 4

300

There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. There are 60 students in the algebra class. If 15 students are taking both algebra and pre-calculus, what is the probability that a randomly selected student is taking pre-calculus but not algebra?

1/4

300

The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 20 feet. What is the area of the yard, in square feet?

320 ft2

300

The market price of a house is directly proportional to the total area of the house in square feet. If the price of a 1,500 square foot home is $300,000 what is the price of a 2,000 square foot home?

$400,000

300

Expand:

3y(y - 3) + 3y(y + 3)

6y2

300

If 2x + 5 = 8x, then 18x = ? 

18x = 15

400

Given the chart below, If a student is chosen at random what is the probability that student is taking Spanish, Chemistry, and Math?  (as a fraction)

3/52

400

Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?

30 feet

400

The ratio of two numbers is 10:17. If the larger number is 153, then what is the smaller number?

90

400

Expand:

7 + 3(x - 2) + 2(x + 1)

5x + 3

400

Solve for x: 

3 (x +1) = 5(- 2) + 7


x = 3