Integers
Choose all rational numbers:
3.02859...
3
3.14159...
3.7 (7 repeating)
1.4141...
3, 3.7 (7 repeating)
a x 2 4 6 8 10 b x 3 5 7 9 11
y 5 10 15 20 25 y 12 20 28 36 44
c x 4 6 8 10 12 d x 21 35 49 63 77
y 10 16 24 36 46 y 3 5 7 9 11
A, B, D
Which of the following represents the lowest speed in miles per hour?
a. 6 miles in 1/8 hour
b. 11 miles in 1/4 hour
c. 16 miles in 3/8 hour
d. 20 miles in 1/2 hour
D
A family drives 4 1/2 miles in 1/10 of an hour. What is the rate of speed in miles per hour?
45 mph
Abigail is going for a hike. After 6 km, she has gained 800m in elevation. She stops for a break, then turns around and returns the way she came. How many km did Abigail hike in total? What was her total change in elevation when she finished the hike?
12km; 0
A scuba diver is 15.5 feet below the surface of the water. If the diver continues to swim downward at a rate of 2.5 feet per second, what integer represents her location relative to the surface after 7 seconds? How far does the diver have to go to return to the surface?
-33; Must swim 33 feet to surface
Six cell phones weight 46.2 ounces. Fourteen cell phones weight 107.8 ounces. Does this represent a proportional relationship? If so, state the constant of proportionality.
Yes; 7.7
Select all expressions equivalent to (-60/5)
a. 60/-5
b. -60/-5
c. -60 x 1/5
d. 60 x -1/5
e. -50 x -1/5
A, C, D
The results of a board game are given (Joseph 500, Sarah -1500, Malachi -2200, Tyson 400, Shaun -600, Summer -300)
What is the total of the players' scores?
-3700
Select all products that are negative:
(-4) x (-9) x2
(-4)(9)
(6)(6)(-2)
(-6)(-6)
(6)(-6)
(-4)(9), (6)(6)(-2), and (6)(-6)
What two things do rational numbers do?
Repeat or Terminate
The table shows the prices charged by a dry cleaner.
Shirts: 4 10 16 22
Price: $3.96 $9.90 $15.84 $21.78
Is the relationship between the price and number of shirts proportional? Explain.
Yes because each shirt costs $0.99 to dry clean.
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2 1/2 points. Each miss is worth -3/4 points. Out of 30 free throws, they make 16 baskets.
Tomic calculated incorrectly that they had scored 50 1/2 points. Explain this likely error.
What is the correct number of points that Tomic and Brooke scored?
Tomic did not subtract the misses. The correct number of points is 29.5.
Kenny bought a 50-pound bag of chicken feed for $29.98 and a 25-pound bag for $15.29. Can you use proportional reasoning to find the price of a 40-pound bag?
No because they are not proportional.
Select all expressions that simplify to a positive number:
13-25
-10.5 + 11
(-30) divided by -10
4.25 times (-1.25)
-10 + (-18)
-10.5+11, -30 divided by -10
The record high temperature on January 15 is 41 degrees. The record low temperature on that day is -16 degrees. What is the different in the record temperatures?
57 degrees
Each year the students in 7th grade go to an environmental camp. This year, the cost is $1,580 for 79 students. How much does it cost for each student to attend the camp? Write an equation to represent the cost,y, of attending the camp for x number of students.
$20; y=20x
The graph represents the cost of renting a generator from the hardware store.
What does the point (0,0) mean in this situation?
Choose one ordered pair on the graph and explain what it means in this situation.
The generator costs $0 to rent for 0 hours.
(2,50) The generator costs $50 to rent for 2 hours.
An overweight dog is put on a special diet. Use the information to determine the dog's average weight change per week.
Week 1: -1.5
Week 2: 2.2
Week 3: -0.8
Week 4: -1.6
Week 5: -0.6
-0.46
Marcelo had $49.13 in his bank account. He paid two fees of $32.50 each, and then made two deposits of $74.25 each. What is the balance in Marcelo's account now?
$132.63
Water evaporates from a pond at a rate of 0.05 inches per hour. What is the change in the water level of the pond after 24 hours? Express your answer as a rational number.
-1.2 inches
The dimensions of a box are reduced by half. What is the constant of proportionality between the volume of the new box and the volume of the original box?
Original Box:
Length: 8 inches Width: 20 inches Height: 40inches
1/8
Twelve books cost $59.88 and 21 books cost $104.79. Is there a constant of proportionality between these purchases? Explain.
Yes; Each book costs $4.99.
A store sells two brands of apple sauce.
Brand A: 24 1/2 ounces; 2/3 cup per serving
Brand B: 30 2/3 ounces; 3/4 cup per serving
Which brand provides more servings? Explain.
Brand B because 41 is greater than 36.5.
What is the reciprocal of -3 2/7?
-7/23