Unit Rate
The amount troy charges to mow a lawn is proportional to the time it takes him to maw the lawn. Troy charges $30 to mow a lawn that took him 1.5 hours to mow. Which equation models the amount in dollars, d, Troy charges when it takes him h hours to mow a lawn?
A. d = 20h
B. h = 20d
C. d = 45h
E. h = 45d
A
A meteorologist was monitoring the temperature outside in degrees Fahrenheit and wrote 78 + (-6) - 5. Which statement best describes the expression?
A. The temperature started a 78 and increased by 6 then decreased by 5.
B. The temperature started at 78 and increased by 6 then increased by 5.
C. The temperature started a 78 and decreased by 6 then decreased by 5.
D. The temperature started at 78 and decreased by 6 then increased by 5.
C
In a game, a player earns 100 points for each question answered correctly and earns -30 points for each question answered incorrectly. A player answered 14 questions correctly and 6 questions incorrectly. Write an equation to represent the total number of points the player earned.
100(14) + (-3)(6)
50%
How many siblings does Mrs. Freitas have?
NONE!
Ed is a farmer who charges $3.75 for 5 pounds of cabbage. How much does he charge for one pound of cabbage?
0.75
A scuba diver standing on a boat is at an altitude of 1.3 meters above sea level. The scuba diver jumps into the water and decreases his altitude by 5.6 meters in one minute. Which equation can be used to determine the scuba diver's altitude, in meters relative to sea level, one minute after jumping into the water?
A. 1.3 + 5.6 = 6.9
B. -1.3 + (-5.6) = 4.3
C. 1.3 + (-5.6) = -4.3
D. - 1.3 + (-5.6) = -6.9
C
Solve for x:
3x + 2.50 = 13.75
3.75
Students in a math class will be randomly assigned a polygon for a class project. The only polygons being assigned are quadrilaterals, pentagons, hexagons, octagons, nonagons and decagons. If there is an equal number of each type of polygon, what is the probability that the first will be a nonagon?
1/6
When is Mrs. Freitas' birthday?
January 30
A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 6/20 of its total height. How much time, in minutes, does it take for the drawbridge to reach its total height?
A) 1/5
B) 9/20
C) 20/9
D) 5
D
At the start of the month, the value of an investment was $48.45. By the end of the month, the value of the investment changed by a loss of $13.80. What was the value, in dollars, of the investment at the end of the month?
34.65
Giovanni spent a total of $13.75 bowling. He rented bowling shoes for $2.50 and bowled 3 games. Write an equation to represent this situation.
3x + 2.50 = 13.75
1/6
How many dogs does Mrs. Freitas have?
3
Which equation has a constant of proportionality equal to 4?
A. 4y=4x
B. 4y = 12x
C. 3y = 4x
D. 3y = 12x
D
Which expressions have products that are positive?
A. (- 5)(0.2)( - 9)
B. (2/3)(1/2)(- 1/4)
C. (- 10)(- 2)(- 4)
D. (2.4)(6.4)(- 21)(- 0.9)
E. (- 10)( 3 ½)(- 2 ½)
F. (3)(- 5)(- 1.5)
G. (5/6)(- 10)(- 5)(- 7/9)
A, D, E, F
Jessica rented 1 video game and 3 movies for a total of $11.50.
- The video game cost $4.75 to rent.
- The movies cost the same amount each to rent.
What amount, in dollars, did Jessica pay to rent each movie?
$2.25
You are rolling a fair six-sided number cube. What is the probability of rolling a four 3 times.
1/216
What are the names of Mrs. Freitas' dogs?
The cost of pumpkin seeds is proportional to their weight. A 24-ounce bag of pumpkin seeds cost $6.00. What is the unit rate for the pumpkin seeds?
0.25
In Fairbanks, Alaska, the temperature one day was -18 degrees F. On that same day, the temperature was 83 degrees higher in Honolulu, Hawaii. What was the temperature in Honolulu on that day?
65
Which expressions are a factor of
-12xy - 2xyz + 120xz
Select all that apply.
A. 2 B. 4 C. x D. 3z E. 2x F. z
A, C, E
You roll a fair six-sided number cube. What is the probability of landing on an even number?
1/2
What date did Mrs. Freitas get married?
February 3, 2024