1. A manufacturing assembly line packages 26 cases of cottage cheese per minute. How many cases of cottage cheese does the assembly line package in 7 hours?
2. In the figure below, C is the intersection of AD and BE. What is the measure of ∠BAC?
3. If 11 + 4c = 31, then 3c = ?
4. What is the least common denominator of the 3 fractions 2/15, 5/6, and 7/8?
5. For RT shown below, point S is on RT, the length of RS is 10cm, and the length of ST is 22cm. What is the distance, in centimeters, between T and the midpoint of RS?
6. Three friends are picking apples. Bill picks 5 red and 3 green apples; Ming picks 8 red and 2 green apples; Randi picks 2 red and 4 green apples. They combine their apples into an empty basket. Ming will randomly select 1 apple from the basket. What is the probability she will select a green apple?
7. The students in Mr. Montag’s literature class are playing review games. For prizes, Mr. Montag has a bag that initially contained 23 fruit bars of different flavors: 6 cherry, 5 blueberry, 4 strawberry, and 8 raspberry. No fruit bars are added to the bag during the class. After each game, the winner randomly selects 1 fruit bar from the bag to keep. The winners of the first 4 games selected 1 cherry, 1 strawberry, and 2 raspberry fruit bars. Lin wins the 5th game. What is the probability that Lin will select a raspberry fruit bar?
8. If x + 2/5 = 3/25, then x = ?
9. In the standard (x,y) coordinate plane, what is the slope of the line 7x + 4y = 8?
10. The expression (6c−3d)(3c+d) is equivalent to:
11. How many minutes would it take a train to travel 100 miles at a constant speed of 120 miles per hour? (Note: There are 60 minutes in 1 hour.)
12. A quilt maker uses $25 worth of materials to produce a single quilt that sells for $100. What is the minimum number of this type of quilt the quilt maker can produce and sell to earn a profit of at least $900?
13. What is the volume, in cubic inches, of a cylinder that has a diameter of 16 inches and a height of 25 inches? (Note: The volume, V, of a cylinder with radius r and height h is given by V=πr²h.)
14. The lengths of corresponding sides of 2 similar right triangles are in the ratio 2:7. The hypotenuse of the smaller triangle is 8 inches long. How many inches long is the hypotenuse of the larger triangle?
15. The Student Council is preparing a budget for an upcoming fund-raising dance. They have decided to spend $225 for a light and sound show, $600 for refreshments, and $75 for decorations. These are the only expenses. Given that the Student Council estimates 400 students will attend the dance, what should be the price, per student, for admission to the dance if the Student Council wants to raise as close as possible to $500 after paying expenses?
16. In kite ABCD, shown below, the diagonals intersect at E at a right angle. The given lengths are in centimeters. Which of the following values is closest to the perimeter, in centimeters, of ABCD?
17. In the standard (x,y) coordinate plane below, point C has coordinates (7,5), and the midpoint of AC is point B, which has coordinates 1−3/2, 1/2. What are the coordinates of point A?
18. The price of 4 meals for Erin and her 3 friends was $60 before the addition of tax and tip. Erin and 2 friends each had meals of equal price. The price of the 3rd friend’s meal was twice the price of Erin’s meal. What was the price, in dollars, of Erin’s meal?
19. Camp counselors will combine 5_1_ pounds of peanuts with 1_1_ pounds of cashews to make trail mix for their campers. Each camper will get a small bag filled with 1/8 pound of the trail mix. What is the maximum number of bags of trail mix that the camp counselors can fill?
20. A student took 4 chemistry tests and earned an average score of exactly 80 points. A score of how many points on the 5th test will earn the student an average score of exactly 82 points for the 5 tests?
21. Which of the following equations defines the new function after translation?
22. rms, a = _1_6_ and a = _6_4_. Which of the following numeric expressions gives the value of a?
23. In the standard (x,y) coordinate plane, what is the y-coordinate of the intersection point of the 2 lines with equations below? y=−2x+23 y= 3x−07
24. Let S be the set of all numbers of the form b−a where a and b are real numbers such that a>b. Which of the following describes S?
25. The volume of a solid object is equal to the volume of water it displaces when completely submerged in water. A solid object will be placed in a rectangular tank that has a base of 40in by 30in and is filled with water to a uniform depth of 10in. When the object is completely submerged, the new depth of the water in the tank is 10_1_ in. What is the volume, in cubic inches, of the object?
26. In the standard (x,y) coordinate plane below, one of the following absolute value functions is graphed. Which one?
27. Twenty households in a community were surveyed to determine how many bicycles they owned. Based on the data in the table, what is the expected value of the number of bicycles from a household in this community, rounded to the nearest tenth of a bicycle?
28. In nABC shown below, the lengths of the sides and an altitude are given in meters. Which of the following expressions gives the area, in square meters, of nABC?
29. Anna will save $5 in Week1, $6 in Week2, and $7 in Week 3, saving $1 more each subsequent week until she saves $20 in Week 16. What is the total amount of money Anna will save in 1 full year?
30. A student in a chemistry lab had 25mL of a solution composed of only water and acid. What is the percent of acid in the new solution?
31. A ramp has a horizontal length of 12 feet and a vertical height of 1 foot. Which of the following expressions gives the measure of the acute angle the ramp makes with the horizontal?
32. For a fund-raising project, your class decided to sell school supplies. How much profit did your class make on this project?
33. Aimée commutes to work on an interstate highway and she had been averaging 60 miles per hour. What is her average speed, in miles per hour, for a round-trip with the construction delays?
34. Increasing both the length and width of a rectangle by 20% will increase the area of the rectangle by what percent?
35. Li is walking from one point on a large model of the standard (x,y) coordinate plane to another point. The expression ⎪6 − 1⎪ + ⎪2 − (−5)⎪ gives the minimum distance, in coordinate units, Li walks between which of the following pairs of points?
36. Which of the following systems when solved gives values of a and b such that (3a)(3b) =9 and _2__a =64 ?
37. For all angle measures A° greater than 0°, which of the following expressions is equal to cos,A°?
38. The ellipse _x__ 2 + _y__ 2 =1 is shown in the standard (x,y) coordinate plane below. Which of the following relationships is true?
39. The rational function graphed in the standard (x,y) coordinate plane below is undefined for 2 real values of x. One of the following functions is the graphed function. Which one?