Name: ___________________________

Fall 2015 Math I – MIDTERM REVIEW

1. Simplify the following expression: (8−4 ∙2 )2−62

a. 28 b. -36 c. 36 d. -28

2. Evaluate the following expression for x = -6: −4 x+8÷8a. 25 b. 4 c. -2 d. -23

3. Evaluate the following expression for x = -5: x2+4 xa. -45 b. 5 c. 45 c. -5

4. Nathaly’s mother hired a clown to come to her birthday party. An initial fee of $30 was charged for the clown to show up and then after that, the clown charged $14.75 per hour. How much did Nathaly’s mother pay for the 6 hour party?

a. $118.50 b. $88.50 c. $180 d. $194.75

5. Which of the following is another way to express 4 – 5? a. 5 – 4 b. -4 + (-5)c. 4 + (-5) d. -4 + 5

6. This arrangement of tables and seats follows a pattern. If the pattern continues, how many seats will there be for 12 tables?

a. 48 b. 49c. 50 d. 72

7. The graph represents the rule for the total cost (y) of buying a number of bags of popcorn (x) plus a movie ticket. How many bags of popcorn can be purchased with $26?

a. 114 b. 3c. 4 d. 22

8. Tylia has $55 in her bank account. Each week she earns $15 for cleaning the house. How many weeks will it take her to earn enough money to buy an ipod that costs $230?

a. 11 b. 12c. 15 d. 5

9. The difference between two negative integers is _______a. Always negative b. Always positivec. Sometimes negative d. Zero

Name: ___________________________

10. Miguel made several figures with square tiles. Look at the number of tiles in each step. How many tiles will there be in the 10th figure?

a. 21 b. 23 c. 25 d. 27

11. The first two rows of seats in a movie theater have 10 seats each. The next two rows have 12 seats each. iF the pattern continues, how many seats will the 9th row have?

a. 26 b. 18 c. 20 d. 14

12. Ms. Ridings and Mr. Bell are club sponsors at East Mecklenburg High School. Both clubs were going to the same location for meetings so they shared a bus. They rented the bus for 3 days at a cost of $65 per day and $0.15 per mile driven. The two clubs shared the cost of the bus equally. If the bus traveled 240 miles, how much did Mr. Bell pay?

a. $231.00 b. $115.50 c. $50.50 d. $101

13. The math club is selling t-shirts for $10.50 each. Ana reports that they have made exactly $690.00. Scott tells her that this has to be wrong. Which of the following best explains how Scott knows this?

a. To have a profit (amount of $ made) of $690.00, the math club would have to sell 65.7 t-shirts, which is not reasonable.

b. The math club only had 67 t-shirts to sell.c. The math club gave a discount of 50% to the physics club, which has 6 members.d. The math club gave a t-shirt to each of the math teachers.

14. Which of the following would complete the table using the pattern shown?

a. 8, 10 b. 10, 15 c. 8, 15 d. 12, 15

15. Ajla currently has $300 in her savings account. If she can deposit (add) $40 a week, how many weeks will it take her to save $1,020?

a. 4 b. 26 c. 25 d. 18

Name: ___________________________

16. Four companies charge different rates for monthly phone bills, B, in dollars, depending on how many hours, h, of long distance calls the customer uses.

The formulas used by these four companies are given in the table below.

Based on this information, which company would charge the least amount to a customer who uses 25 hours of long-distance service a month?

a. Advance b. Bell-Tone c. Cell-U-Later d. Data Drive

17. Fill in the blank with the number of sticks needed to make pattern 36. Pattern 36 would require ______ sticks.

18. Hector is filling a water tank with water. The table represents the number of hours that the water is being pumped and the total number of gallons in the tank. Fill in the blanks with how each axis would be labeled.

The x-axis would be labeled _______________.

The y-axis would be labeled _______________.

19. If the product of two integers is positive, what might be true about the integers?a. They are both negative b. One is positive and one is negativec. One number must be less than the other number d. One number must be zero

Name: ___________________________

20. A group of students are asked to evaluate the expression 44−62+ 244 . They come up with the answers below.

Which student is correct?Student

Answer

Leslie 38Nima 14Rafay 86Karen 2

a. Leslie b. Nima c. Rafay d. Karen

21. Simplify each of the following:

(−9 )2 = _______ −(9 )2 = _______

22. In this pattern, pattern # ______ would need 34 hexagons. FILL IN THE BLANK.

23. The following rule expresses the profit ($ made), p, for a school dance as a function of the number of tickets, t, sold: p=5 (2t−20).What is an equivalent form of the rule?

a. p=10 t−20 b. p=10 t−100 c. p=7 t−15 d. p=−10t

24. What should be done first to evaluate this expression? 5+2 ∙3÷ (8+9 )3

a. 83∧93 b. 8 + 9 c. 2 ∙3 d. 5+2

25. Na’ll’s parents agree to start a bank account for Na’ll with $80. They also agree to pay him $15 a week to clean the house as long as he keeps track of his savings. Na’ll keeps track of his savings in the table below.

Number of weeks Process Total amount saved

1 80 + 15(1) 952 80 + 15(2) 1103 80 + 15(3) 1254 80 + 15(4) 140

What rule expresses the relationship between the number of weeks (x) and the total amount saved (y)?a. 80+15 x= y b. y=80x+15c. 80+ y=15 x d. y=15 x−80

Name: ___________________________

26. Alex wants to go to the carnival. It costs $6 for admission and ride tickets are $3 each. Alex used the relation y=3 x+6 to determine how much money he will spend based on her number of rides. The table shows this relationship.

Rides (x) Total money (y = 3x + 6)2 127 2714 4827 87

Using the table, how much money will it cost for admission plus 27 tickets?a. $7 b. $87 c. $12 d. $48

27. Mr. Hernandez has 600 pencils to distribute to his students. Altogether, he has 125 students. Which of these equations can he use to find p, the number of pencils each student will receive?

a. p=600×125 b. p=125600 c. p=600125 d. p=600−125

28. Joselyn invented a pancake machine that produces 2 pancakes every minute. Which expression best represents the amount of pancakes that will be produced in n minutes?

a. 2n b. n+2 c. 2n d. 2n+2

29. Simplify the following algebraic expression: 4 (5x−2 )+6a. 20 x+14 b. 20 x−2 c. 20 x+4 d. 18 x

30. Which property of addition does the following equation represent? a+b+c=c+b+aa. associative property b. commutative property c. identity property d. distributive property

31. Which property of multiplication does the following equation represent(ab ) c=a(bc)a. associative property b. commutative property c. identity property d. distributive property

32. Marcus says, “I’m thinking of a number. Take 7 times the number and add 2. Then divide that result by 5. Add 4, and you get 12. What’s my number?” What equation can be used to find the number (x)?

a. ¿ b. 7 x+25+4=12 c.

7 x+2+45

=12 d. 7 ( x+2 )5

+4=12

33. A gym charges a certain monthly rate for membership, plus an initial fee to join. The data in the table shows the cost of joining the club by month.

Gym membership duesMonths (m) Cost in dollars (d)3 355 958 140

Name: ___________________________

What is the equation of a line that fits the data?

a. d= 115m+20 b. d=15m+20 c. d=15m d. d=15m−20

34. Four verbal expressions are shown. A student wrote an algebraic expression for each verbal expression. For each pair, show whether his work is correct. (You can write an X for incorrect or a check for correct).

Verbal expression Algebraic expression Correct or incorrect?The sum of 6 and z 8−f7 less than a number, n, times itself

n2−7

60 tickets shared equally among 5 friends

605

5 fewer than the product of 3 and k

5−3k

35. Jordan planted a tree that grows money. When she planted the tree, it had one branch. A new branch grows ever week and each has four dollar bills on it.

Which expression represents the total amount of money on the tree for any number of weeks, w?a. w+4 b. 4w c. 4w+4 d. 4w+1

36. Which of the equations model the input (x) and output (y) table shown? Select ALL that apply.

a. y=2x+5 d. y=5 ( x+1 )−3b. y=2 ( x+1 )+3 e. y=2 ( x+2 )+1c. y=5 x+2

Name: ___________________________

37. Which of the following representations models the pattern shown, if x represents the figure number and y represents the number of blocks in each figure? Select all that apply.

a. d. The number of blocks is the figure number plus 4

b. y=4 x+1 e. The number of blocks is the figure number times 4 plus the center . block

c. y=x+4

38. Which algebraic rule fits the pattern in this table?

Figure Perimeter0 01 32 63 9

a. y=x+3 b. y=x2 c. y=3 x+3 d. y=3 x

39. A tank holds some water. More water is pumped into the tank at a constant rate. The data in the table shows the amount of water in the tank each hour while it is being filled.

What is the equation of a line that fits the data?

a. c=50h b. c=50h−20c. c=50h+20 d. c= 150h−20

40. A company is building two amusement parks – one in Texas, the other in Alaska. The area of the Texan park is about 50 square miles smaller than twice the area of the Alaskan park. If x represents the area of the Alaskan park, which expression represents the area of the Texan park?

a. 50−2x b. x−502 c.

x2−50 d. 2 x−50

Name: ___________________________

41. The Lack family saved $1500 to take on their summer vacation. They estimate that they will spend $95 per day on food and gas. Which expression shows the amount of money the Lack family would still have after y days of travel on their vacation?a. 1500−95 y b. 1500+95 y c. 95+1500 y d. 95−1500 y

42. The following data was collected to determine if there was a relationship between the distance in miles of a flight (x) and the airfare or cost (y).

Which would be an appropriate viewing window to see this information?a. xmin: 350 xmax: 1550 c. xmin: 189 xmax: 1502

ymin: 100 ymax: 300 ymin: 108 ymax: 260

b. xmin: 550 xmax: 750 d. xmin: 100 xmax: 300ymin: 150 ymax: 200 ymin: 350 ymax: 1550

43. Which of the following relations is NOT a function?

Name: ___________________________

Name: ___________________________

44. At a sporting goods store, 4 cans of tennis balls cost $9.00. The relationship between number of cans (x) and

cost (y) can be modeled with the following equation: y= 94x. Which of the following statements is not true?

a. The constant of proportionality is 94

b. The unit rate is $2.25 per can.c. Thirteen cans cost $29.25.d. A case (24 cans) costs $56.00.

45. On the dashboard of Dhan’s car, there is a clock and an odometer. The odometer tells how many total miles the car has been driven. Dhan glances at her car’s dashboard (A), and then looks back a few minutes later (B). This is what she sees.

Between these two times, A and B, how many minutes passed? ___________

During this time, how far did Dhan drive in miles? ____________

This means that Dhan was driving at an average rate of ___________ mile per minute.

46. In the image shown, sticks are arranged in a series of patterns.Which of the following changes with each new pattern?

a. The total number of sticks c. The number of sticks being added with each new patternb. The number of sticks in each triangle d. the perimeter of each triangle

47. These figures are similar. The scale factor used to enlarge the first triangle to create the second triangle is 3.

Which proportion includes ratios that are equal to the scale factor?

Name: ___________________________

a.1213

=3639 b.

1312

=3936 c.

1239

=1336 d.

3612

=3913

48. Which linear function does this graph represent?

a. f ( x )=34x+6 b. f ( x )=−3

4x+6 c. f ( x )=3

4x−8

49. The following table of values represents a linear pattern. What is y when x is 14?

a. 28 b. 38 c. 40 d. 42

50. Which statement is true about the data in the table?a. The data represents a proportional relationship and the constant of

proportionality is $9b. The data do not represent a proportional relationship, but the rate

of change of the data is $9 per hour.c. There is not a constant rate of change for these data.d. The data represents a proportional relationship and the constant of

proportionality is $3