DCA Prep #2 for algebra kids Name ________________________ 1. Write a variable expression to represent the phrase:

A. 8 − 2n

B. 2n − 8

C. 8n − 2

D. 2(n − 8)

2. Choose the variable expression for finding a length of time in minutes if you know the number s of seconds.

A. s + 60

B. s60

C. 60s

D. 60s

3. You belong to an online DVD rental service. Your yearly budget is $200. Each rental costs $4. Choose the variable expression for finding the amount of your budget left after r rentals.

A. 4r + 200

B. 4r − 200

C. 200 − 4r

D. (200 − r)4

4. There are 160 players in a soccer league. This is 23 more than last year. Which equation could you solve to find the number of players, p, that were in the league last year?

A. p = 160 + 23

B. 23= 160 + p

C. 160 = p + 23

D. 160 = p − 23

“8 fewer than twice a number”!

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5. Write an equation to represent the sentence:

A. −16x

+ 2 = 35

B. −16 + x2

= 35

C. −16 + 2x= 35

D. −16 + x2= 35

6. Write an inequality to represent the sentence:

A. 4n + 2 ≤18

B. 4n + 2 <18

C. 4(n + 2) >18

D. 4 + n + 2 ≤18

7. Stan is buying a digital camera that costs $375. The store lets him make a down payment of $175. He can pay the remaining cost in four equal monthly payments with no interest charged. Which equation can Stan use to find the amount of each monthly payment?

A. 375 + 4 p = 175

B. 375 = p4+175

C. 375 = 4 p +175 D. 375 = 4 p +175 8. Anita works part-time as a waitress. She earns $6.95 per hour. For the week, she makes

$42.90 in tips. Which inequality could she solve to find out how many hours she needs to work to earn at least $168 for the week?

A. 6.95h + 42.90 ≤168

B. 6.95h

− 42.90 ≤168

C. 6.95h + 42.90 ≥168

D. 6.95h

− 42.90 ≥168

“Negative)sixteen)plus)the)quotient)of)a)number)and)2)is)35.”)

“The)sum)of)4)times)a)number)and)2)is)no)more)than)18.”)

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9. The table shows the number of preordered tickets for a three-day showing of a play.

The theater has a seating capacity of 5400 people. What is the possible number of tickets that can be sold at the door for the Friday night showing of the play? A. No less than 9225 B. At most 9225 C. At least 1525 D. No more than 1525

10. The table shows the cost for renting apartments in a local apartment complex.

Apartment Unit Rental Cost

One-Bedroom Apt. $500 per month

Two-Bedroom Apt. $800 per month

Which expression could be used to find the amount of rental income for one month if the complex rents out x one-bedroom apartments and y two-bedroom apartments? A. (500 + 800)xy

B. 500x + 800y

C. 500y + 800x

D. x500

+y800

11. Use the thermometer pictured. Starting at 1:00 P.M., the temperature

changes -4ºF per hour. How long will it take for the temperature to reach -1ºF?

A. 1 hour

B. 3 hours

C. 9 hours

D. 10 hours

Night Preordered Tickets Friday 3825 Saturday 4109 Sunday 4573

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Temperature At 1:00 P.M.

35ºF

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12. In honor of Arbor Day, your family planted a new 15foot tall tree in your backyard. The tree will grow 1.5 feet each year. After how many years is the tree 24 feet tall?

A. 1.78 years

B. 6 years

C. 7 years

D. 13.5 years

13. What is the value of the expression x4 + 7x − 5when x = 3? A. 28

B. 80

C. 97

D. 1696

14. What is the value of the expression 53 − (n + 4)2 when n = 7?

A. -7

B. 4

C. 24

D. 134

15. What is the value of the expression 2x2 −1032 − 4

when x = 5 ?

A. 5

B. 6

C. 8

D. 18

16. What is the solution to the equation? A. h = −9

B. h = −1

C. h = 3

D. h = 9

23h − 1

3h +11= 8 !

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17. What is the value of x in the equation? A. x = −9.8

B. x = −7

C. x = 7

D. x = 9.8

18. What is the solution to the equation?

A. n = −7.6

B. n = −3.2

C. n = 3.2

D. n = 7.6

19. What is the value of x in the equation?

A. x = − 18

B. x = −114

C. x = −2 78

D. x = −4 58

20. What is the value of n in the equation? A. n = 13 B. n = 2 C. n = −3 D. n = −8 22. What is the solution to the equation?

A. m = 40 12

B. m = 3112

C. m = −10 12

D. m = −1312

2x − 4 9 − 3x( ) = 62 !

−5.7 + 2.6n = −14.02 !

45x + 3= − 7

10!

3(−2n + 5) = 11− 4x!

9 + 14m = −11

8−12m !

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23. Which graph represents the solutions to the inequality? A.

B. C.

D. 24. What is the value of n in the inequality?

A. n ≥ 59

B. n ≥1119

C. n ≤ 59

D. n ≤1119

25. What are all possible values of x in the inequality?

A. x >1.3

B. x >13

C. x <1.3

D. x <13

2x +11≤ 3!

!

!

!

!

14n − 5 ≤ − 1

5n

!

−3.5x −13< 32.5!

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26. Which inequality gives the solution to the inequality?

A. x <175

B. x < 21

C. x > −21

D. x > −87

27. Use the data set: 8.98, 3.67, 11.13, 8.98, 11.24. Which statement about the measures of central tendency for the data is true? A. The mean is greater than the median.

B. The mean is equal to the median.

C. The median is equal to the mode.

D. The mode is less than the mean.

28. The back-to-back stem-and-leaf plot shows the comparison of city versus highway gas mileage for nine new cars. Which statement about the data is true? A. The best city mileage for a new car was 41 mpg B. The mean city mileage is equal to the mean highway mileage.

C. The median city mileage is greater than the median highway mileage.

D. The mode for city mileage is less than the mode for highway mileage. 29. The amount of time spent on the internet by each office staff member in minutes per day are: 75, 38, 43, 120, 65, 48, 52. Which measure of central tendency would most appropriately describe this data set?

A. mean

B. median

C. mode

D. range

−11+ x7> −14

!

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30. A retail store had total sales of $436, $650, $530, $500, $650, $489, and $423 last week. Which measure of central tendency would make the store’s sales last week appear the most profitable?

A. mean

B. median

C. mode

D. range

31. Two manufacturing plants create sheets of steel for medical instruments. The back-to-back stem-and-leaf plot shows data collected from the two plants.

Which measure of central tendency would be appropriate for Plant A, but not for Plant B?

A. mean

B. median

C. mode

D. range

32. The box-and-whisker plot shows the attendance for sporting events at State High School. !

Which statement is true about the data? A. The mean number of people attending is 570.

B. There were 5 sporting events at State High School.

C. About half of the sporting events had between 430 and 710 people attending.

D. About half of the sporting events had more than 710 people in attendance.

33. The circle graph shows the results of a survey that asked 90 people at a supermarket what type of milk they most often drink.

The data is misrepresented by the graph. What inaccurate conclusion might a person make based on the graph?

A. The largest percentage of people surveyed said they

most often drink reduced fat milk. B. The smallest percentage of people surveyed said

they most often drink skim milk. C. More people said they drink whole milk than skim

milk. D. Less than 25% of the people surveyed said they most often drink whole milk.

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34. A hockey goalie has a save percentage of 93%. What is the probability that he will not make a save on the next shot at the goal?

A. 17

B. 710

C. 7100

D. 70100

35. There are 104 apples in a bushel. The probability of randomly choosing a Granny Smith apple from the bushel is 25%. How many of the apples are not Granny Smith apples?

A. 26 B. 29 C. 75 D. 78 36. Jon is taking a multiple-choice test. Each question has 3 choices: A, B, and C. If Jon guesses

on the last two questions of the test, what is the probability that he gets them both correct?

A. 13

B. 14

C. 16

D. 19

37. Thirty percent of the beads in a bag are blue. One bead is randomly chosen and replaced. Then a second bead is chosen. What is the probability that neither bead is blue?

A. 9% B. 14% C. 49% D. 70%

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38. Chen spins each of the spinners once.

What is the probability that he spins white on the first spinner and a 3 on the second spinner?

A. 17

B. 27

C. 112

D. 712

39. Each day ten colleagues put their names in a bag, and someone draws a name at random. The

person whose name is drawn answers the phones during lunch while the others go out for lunch. What is the probability that one colleague answers the phones two days in a row?

A. 0.02 B. 0.01 C. 0.1 D. 0.2

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