Algebra Mock 2 Multiple Choice



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Algebra Mock 2
Multiple Choice

Identify the choice that best completes the statement or answers the question.
Write an algebraic expression for the phrase.
____ 1. 4 times the sum of q and p

a.

4q + p

b.

4 + q + p

c.

4qp

d.

4(q + p)

____ 2. Evaluate u + xy, for u = 18, x = 10, and y = 8.



a.

188

b.

36

c.

98

d.

224

____ 3. A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.



a.

$95.38

b.

$60.99

c.

$57.23

d.

$78.19

____ 4. You can use the formula to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.



a.

30°C

b.

16.7°C

c.

52.2°C

d.

2.4°C

____ 5. Name the set(s) of numbers to which 1.68 belongs.



a.

rational numbers

b.

natural numbers, whole numbers, integers, rational numbers

c.

rational numbers, irrational numbers

d.

none of the above

____ 6. Which of the scatter plots shows a positive correlation?



a.



c.



b.



d.



____ 7. Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year.



a. Find the mean, median, and mode of this data.

b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year.

a.

mean = 12,700; median = 13,156; no mode; the mean is the best choice because it is representative of the entire data set.

b.

mean = 13,156; median = 12,700; mode = 3,628; the median is the best choice because it is not skewed by the high outlier.

c.

mean = 13,156; median = 12,700; no mode; the mean is the best choice because it is representative of the entire data set.

d.

mean = 13,156; median = 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.



Write a function rule for each table.
____ 8.

Hour Worked

Pay

2

$15.00

4

$30.00

6

$45.00

8

$60.00




a.

p = 7.50h

c.

p = h + 15

b.

p = 15h

d.

h = 7.50p

____ 9. A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.



a.

12,540 ft

b.

–12,540 ft

c.

10,740 ft

d.

12,940 ft



Name the property the equation illustrates.
____ 10. 8 ´ = 1

a.

Identity Property of Division

b.

Inverse Property of Addition

c.

Inverse Property of Multiplication

d.

Multiplication Property of –1

____ 11. You roll a standard number cube. Find P(number greater than 1)



a.



b.



c.



d.



____ 12. Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?



a.



b.



c.



d.



____ 13. If you roll a number cube 60 times and use the results to calculate the experimental probability of rolling a 1, the experimental probability of rolling a 1 will ____ be less than the theoretical probability of rolling a 1.



a.

sometimes

b.

always

c.

never

____ 14. A basket contains 11 pieces of fruit: 4 apples, 5 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?



a.



b.



c.



d.



____ 15. A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solve an equation to find the price of each shrub.



a.

4p + $17.50 = $53.50; p = $9.00

c.

4p + 17.5p = $53.50; p = $2.49

b.

4(p + $17.50) = $53.50; p = $4.00

d.

4p + $17.50 = $53.50; p = $11.25




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