Proportional Relationships
The cost of 2 pounds of potatoes is $3.78. What is the constant of proportionality that represents the relationship between the cost, y, and the number of pounds of potatoes, x?
k = 1.89
Angel is saving money to buy a new bike that costs $230. She already has $80 saved. If she plans to save $25 each week from her babysitting job, then how many weeks will pass before Angel has at least $230 saved?
x is greater than or equal to 6
A group of 400 town residents is asked to attend a town hall meeting. Of the 400 residents asked to attend, 36 were able to attend. What percentage of the town residents were able to attend?
9%
In triangle DEF, the measure of angle D is 122 degrees. Angle E is acute, and angle F is 19 degrees. What is the measure of angle E?
39 degrees
A gardener is planting flowers in a triangular plot. The base of the plot is 12 feet long, and the height is 7 feet. What is the area of the garden?
42 feet squared
A group of 4 students buys movie tickets for $24. At this same rate, how much would 20 students pay?
$120
Solve and graph the inequality.
7x - 9 < 26
7x < 35
x< 5
Jason worked the following hours in the month of June. What was the percent increase from week 1 to week 3?
Week 1--> 18 hours
Week 2--> 26 hours
Week 3 --> 24 hours
Week 4 --> 33 hours
33.3 %
Two angles are supplementary to each other. If the first angle measures 38.8 degrees, then what is the measure of the second angle?
141. 2 degrees
Fred is buying flooring for a room that is 15 feet wide and 12 feet long. How many square feet of flooring does he need?
180 feet squared
Juliana walks at a constant speed. She walks 2.5 miles in 1 hour. How far will she walk in 7 hours?
17.5 miles
3(2x + 3) = 27
6x + 9 = 27
6x = 18
x= 3
At Centertown Middle School, 25% of the 124 students Mrs. Wade teaches buy their lunches in the cafeteria. How many students do not purchase their lunches in the cafeteria?
93 students
If there are two vertical angles and one angle equals 6x and the other equals (2x + 50), what does x equal?
6x = 2x +50
4x = 50
x= 12.5
A rectangular canvas has an area of 192 square inches. If the canvas is 12 inches wide, what is its height?
16 inches
A recipe calls for 5 parts pear juice for every 2 parts apple juice. How much apple juice is needed for 10 cups of pear juice?
4 cups
Solve and graph the inequality.
-4 (2x - 3) > 32
-8x - 16 > 32
-8x > 48
x < -6
Jose bought a $37 sleeping bag for a camping trip and used a coupon for 10% discount. Ron bought a sleeping bag at a different store for $31.55. Who paid more and by how much?
Jose paid $1.75 more.
If the triangle has one right angle and one angle that is 20 degrees, what is the last angle measure?
70 degrees
Ziggy charges $0.50 per square foot for snow removal. A driveway is 32 feet long and 14 feet wide. How much will it cost to shovel
$224
A car travels 150 miles in 3 hours. If the relationship is proportional, what is the constant of proportionality?
50
Solve for x
-3 (-3x + 1) = -39
9x - 3 = -39
9x = -36
x= -4
A recipe for Fry Guy's honey mustard dipping sauce requires 1/3 cup of honey for 3/4 cup of Dijon mustard. How much honey is needed per cup of Dijon mustard?
4/9 cup
If there are three angles that are supplementary angles, and one angle is 90 degrees, and the other angle is 65 degrees, then what is the third angle?
25 degrees
A bench is made of two non-overlapping rectangles. Rectangle A is 6 feet by 2 feet, and Rectangle B is 8 feet by 2 feet. What is the total area?
28 feet square