Math Algebra 11.1

1. Which expression is equal to 4(x + y) – 3x + 2?

A. x + 4y - 6

B. x + 4y + 2

C. x + y - 6

D. x + y + 2

2. Which expression is equal to x2 + 2x – 8?

A. (x + 4)(x – 2)

B. (x + 4)(x + 2)

C. (x – 4)(x – 2)

D. (x – 4)(x + 2)

3. What is 4x (2x – 3) simplified?

A. 8x2 – 12x

B. 8x2 + 12x

C. 12x2 + 8x

D. 12x2 – 8x

4. Which expression is equivalent to 2xy + 2x2?

A. 2x(y + x)

B. 2x(y – x)

C. 2x(y + x2)

D. 2x(y – x2)

5. How can the following compound statement be combined into a true statement using absolute value? X is an integer x > -2 and x < 8

A. |x – 0| < 5

B. |x – 2| < 5

C. |x – 1| < 5

D. |x – 3| < 5

6. |x – 5| = 6, solve for all values of x.

A. x = 11

B. x = -1

C. x = -1 or 11

D. x = -11 or 1

7. What is the solution for this equation?(2x-3)=5

A. x = -4 or 4

B. x = -4 or 3

C. x = 1 or 4

D. x = -1 or 4

8. What is the solution set of the inequality?5-(x+4)≤-3

A. -2≤x≤6

B. x≤-2 or x≥6

C. -12≤x≤4

D. x≤-12 or x≥4

9. A line crosses the x axis at x = 4 and has a slope of ½. What is the equation of the line?

A. y = ½ x – 2

B. y = 4x + ½

C. y = ½ x + 4

D. y = ½ x – 4

10. What is the equation of a line that passes through the points (6, 2) and (8, 6)?

A. y = 2x + 10

B. y = 2x – 10

C. y = 10x – 2

D. y = 10x + 2

13. Which of the following graphs is the best representation of the linear equation? y = 2x + 5

14. What is the expression simplified? (2x + 2) + 3(x – 4)

A. 5x – 10

B. 5x + 10

C. 10x – 5

D. 10x + 5

15. Which equation is equal to the following? 5 x −2 (7 x +1) =14 x

A. −9x − 2 =14 x

B. −9x + 2 =14 x

C. −9x + 2 =14 x

D. 12x −1 =14 x

16. A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. Which equation below can be used to find the length of each piece of rope?

A. n + 2n + 3n/3 = 120

B. n (2n) (3n) = 120

C. 2n + 3n + 4n = 120

D. n + 2n + 3n = 120

17. The cost to rent a construction crane is $750 per day plus $250 per hour of use. Which equation below can be used to find the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2,500 per day?

A. n (750 + 250) = 2,500

B. 750 + 250n = 2,500

C. (750 + 250) ÷ n = 2,500

D. 750 n + 250 = 2,500

18. The data in the table below shows the cost of renting a bicycle by the hour including the deposit. Part A If the hours, h, were graphed on the horizontal axis and the cost, c, was graphed on the vertical axis, what would be the equation of a line that fits the data? Part B What would be the cost in dollars for renting the bicycle for 20 hours? Show your work or explain your answer.

19. Which inequality is shown on the graph above?

A. y<1/2x-1

B. y≤1/2x-1

C. y>1/2x-1

D. y≥1/2x-1

21. Two numbers are written in scientific notation as follows: 4.5 × 10x and 1.5 × 10y. What is the product of the two numbers?

A. 4.5 × 1.5 × 10x+y

B. 4.5 × 1.5 × 100x+y

C. 4.5 × 1.5 × 10xy

D. 4.5 × 1.5 × 100xy

22. Which expression is equivalent to (22)15 ?

A. 2(17th)

B. 2(13th)

C. 2(30th)

D. 2(32nd)

23. Which expression is equivalent to x3 x2 ?

A. x(1)x(2)

B. x(2)x(4)

C. x(3)x(4)

D. x(1)x(4)

24. Which expression is equivalent to the ratio shown below for the volume of a sphere to its surface area? v/s= (4/3 πr3)/(4πr2)

A. 1/3 r

B. 1/3 r(5)

C. 1/3 πr(5)

D. 1/3πr

26. Joe has $25 to buy baseball cards with. The inequality 2c + 2.50 < 25 represents the number of cards, c, that Joe can buy with his money. What is the greatest number of cards Joe can buy?

A. 10

B. 11

C. 12

D. 13

27. What are the solutions for the quadratic equation, x2 + 6x = 16?

A. -2, -8

B. -2, 8

C. 2, -8

D. 2, 8

28. If x2 is added to x, the sum is 42. Which of the following could be the value of x?

A. -7

B. -6

C. 14

D. 42

30. The height of a triangle is 4 inches greater than twice its base. The area of the triangle is 168 square inches. What is the base of the triangle?

A. 7 in.

B. 8 in.

C. 12 in.

D. 14 in.

33. A scientist conducts an experiment that measures how fast certain bacteria grow. She finds that the number of bacteria present at any given time is modeled by the following recursive formula: a1 = 80 an = 3a n-1 where n is the number of hours after the beginning of the experiment. How many bacteria are present 4 hours after the beginning of the experiment?

A. 720

B. 2,160

C. 6,480

D. 320

34. Andy has an ant colony that begins with 6 ants the first week. Every week after that, the amount of ants in Andy’s colony doubles and increases by 3 more ants. Part A What is a1? What is the formula for an ? Part B How many ants would Andy’s colony have after 5 weeks?

35. Which graph best represents the solution to this system of inequalities?

36. Marcy has a total of 100 dimes and quarters. Part A If the total value of the coins is $14.05, how many dimes does she have? Show your work or explain your answer. Part B How many quarters does she have? Show your work or explain your answer.

37. Where is the intersection of the lines y = 2x + 3 and y = -4x + 3?

A. (0,3)

B. (3,0)

C. (-2,3)

D. (3,-2)

38. Line A follows the equation y = 3x + 6. Which of the following would be perpendicular to Line A?

A. y = 3x – 6

B. y = 1/3x + 6

C. y = 1/3x – 4

D. y = -1/3x – 4

39. What is the equation for a line parallel to y = 3x – 4 that runs through point (0, 6)?

A. y = 3x + 6

B. y = 3x – 6

C. y = -1/3x + 6

D. y = -1/3x – 6

40. The cost of paint it takes to coat a room is measured using the formula 4(.49 × l × w) where l = length and w = width in inches. If l = 10 and the cost of paint is $245, what is the value of w in inches?

A. 52

B. 50

C. 12.5

D. 13

41. The distance a car travels can be modeled with the formula d = r t where d = distance, r = rate, and t = time. Rounded to the nearest minutes, how long would it take a car traveling at 65 miles an hour to drive 120 miles?

A. 2 hours 10 minutes

B. 33 minutes

C. 1 hour 30 minutes

D. 1 hour 51 minutes

42. Sara’s bank charges an interest rate, r, of 12% per year for a loan. How much interest, I, would she pay if she borrowed $600 for 6 months of time, t? Use the formula I = Prt

A. $36

B. $72

C. $432

D. $360

43. Hani left school and traveled toward her friend's house at an average speed of 40 km/h. Matt left one hour later and traveled in the opposite direction with an average speed of 50 km/h. Find the number of hours Matt needs to travel before they are 400 km apart. Use the formula, d=rt , where d = distance, r = rate, and t = time.

A. 2 hours

B. 3 hours

C. 4 hours

D. 5 hours

44. The surface area formula for a cylinder is SA = 2π rh + 2πr2 . What is the surface area of a can with a diameter of 12 in. And height of 16 in. As illustrated below.

A. 1,809.56 in3

B. 828.96 in3

C. 68,375.6352 in3

D. 12,778.0416 in3

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Math Algebra 11.1

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