Keep It Simple!: Simplifying Polynomials (and other fun stuff)
RANDOM STUFF
100
7/8x = 32
x= 28
100
A proportional relationship is represented by the equation 2x = 18y. If y=kx, where k is the constant of proportionality, what is the value of k?
k = 1/9
100
Ms. Dungey goes down to grab food just after lunch. The following pizzas remain: 3 cheese, 5 pepperoni, and 4 veggie. If the server randomly gives Ms. Dungey a pizza, what is the probability that she receives either a cheese or a pepperoni pizza? Express your answer as a fraction, decimal, and a percent.
2/3
.66 (repeated!)
66.6% or 67%
100
Write an expression that represents the sum between (2x - 5y) and (x + y).
3x - 4y
100
Factor the following expression using GCF factoring:
(16x + 4y - 12)
4(4x + y - 3)
200
3x + 5 = -2x - 60
x = -13
200
7th graders have 80 minutes to answer 28 multiple-choice questions on the math exam tomorrow. Find the unit rate, or the number of minutes students should spend per question. Round your answer to the nearest tenth.
2.9 minutes per question
200
Ms. Shamara flips a coin 5 times in a row. What is the theoretical probability the coin lands on Tails all 5 times?
1/32
200
Find the result of adding -2.9a + 6.8 and 4.4a - 7.3
-1.5a - 0.5
200
Solve and graph the following inequality:
1/7x + 7 < 21
x < 98
*The graph should have an open circle over the number 98 with an arrow pointing LEFT.
300
(x+2)/7 = 16
x = 110
300
I crew of highway workers pave 2/15 of a mile in 20 minutes. What portion of a mile can they pave in 2 hours?
4/5 of a mile
300
Students at Promise Academy can choose between chicken and rice, chicken pot pie, and beef tacos for lunch. Then, they must choose between soup and salad as a side dish. Construct a tree diagram that represents the sample space, or the different possible combinations of food that students can choose.
Chicken and Rice < (soup/salad)
Chicken Pot Pie < (soup/salad)
Beef Tacos < (soup/salad)
*There are 6 possible combinations of food
300
Simplify the following polynomial:
5(1/10x + y - 1/2x) + (-2y)
-2x + 3y
300
Ms. Shamara bought a sweater that was on sale for $25, marked down from $40. Calculate the percent of Ms. Shamara's discount. (Hint: you can think of this as a percent change problem)
37.5%
400
1/3(27x - 6) = 79
x = 9
400
Write three strategies for determining if quantities organized in a table or on a graph are proportional to one another.
1) Find a constant of proportionality (k=y/x)
2) Determine if the ratios are equivalent
3) Determine if the graph forms a straight line that passes through the origin (0,0)
400
Hamzata is practicing free throws and makes 38 of the 50 shots that he attempts. If Hamzata makes one more shot, find the probability that he does not make it.
6/25
400
Mr. Landry needs a cover for his circular above-ground pool. Find the area of the pool cover if the distance across the pool in 12 feet. Write your answer in terms of Pi.
36(Pi) feet squared
400
This past weekend, Ms. Dungey was mixing grain (aka food) for horses at the farm. One of the horses, Bay, eats 1 3/4 quarts of Oats and 1 3/8 quarts of Barley for breakfast and then again for dinner. Use this information to determine how much grain does Bay eat every day.
Bay eats 4 1/4 quarts of grain every day
500
3/4(4/3y + 12) - 1/2(4y + 20) = 3
y = -4
500
It took Avione 2 hours to read the first 100 pages of a book. Then she read the last 44 pages in 1 hour. How many pages did she read per minute for the whole book?
0.8 pages per minute
500
What is the probability that Ms. Dungey will be drinking coffee in the morning?
One Hunded
500
Mr. Forbes paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Write an equation to determine how much the electrician charged per hour, then solve.
5x + 70 = 320
Answer: The electrician charges $50 per hour.
500
Complete a 5-point summary for the following set of numbers:
56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44