Keep it Simple! Simplifying Polynomials (and other fun things)
WHAT ARE THE CHANCES?????
100
x/3 = 3.75
x = 11.25
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
Last weekend, Ms. Dungey mixed grain (aka food) for several of the horses at the barn. One of the horses, Bay, eats 1 3/4 quarts of oats and 1 3/8 quarts of barley for breakfast AND for dinner. How much grain does Bay eat in one day?
Bay eats 6 1/4 quarts of grain per day :)
100
Simplify the following algebraic expression:
2x + 4y - (-7x) + (-3y) - xy + 7
9x + y - xy + 7
100
The cafe has 3 cheese, 4 pepperoni, and 5 veggie pizzas left over on Friday after lunch. What is the theoretical probability that Ms. Dungey is randomly served a slice of pepperoni pizza? Express your answer as a fraction, a decimal, and a percent.
1/3
.33 (repeated!)
33%
200
5/6y = 42
y = 35
200
For the state math exam, students must answer 28 multiple choice questions in 80 minutes. Find the unit rate, or the number of minutes that students should spend answering each question. Round your answer to the nearest tenth.
2.9 minutes per question
200
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 that can be used to determine how much the electrician charged per hour. Then solve.
5x + 70 = 320
x = 50
200
Last January, the temperature in Buffalo hit -14 degrees Fahrenheit. The high temp in Buffalo yesterday, however, was 63 degrees Fahrenheit. Write an equation to solve for the difference in these two temperatures.
63 - (-14) = 74
The difference in temperatures is 74 degrees.
200
Hamzata practices making free throws after school one day. He makes 38 shots out of the 50 that he attempted. What is the experimental probability that Hamzata misses the next shot he takes?
6/25
300
4(2s + 3) - 3s = 72
s = 12
300
A crew of highway workers paves 2/15 of a mile in 20 minutes. If they work at the same rate, what portion of a mile will they have paved in 2 hours?
4/5 of a mile
300
Mr. Landry needs a cover for his circular above ground pool. What is the area of the pool cover that he will need to buy if the distance across the pool is 12 feet? Write your answer in terms of Pi.
36(Pi) feet squared
300
Find the sum of (2x - 5y) and (x + y)
3x - 4y
300
Today for lunch, students at Promise Academy have to choose between the the following main courses: chicken and rice, chicken pot pie, and beef tacos. Students then choose between soup or salad as a side dish. Draw a tree diagram that represents the sample space, or the different combinations of main courses and side dishes that a student could choose.
Chicken & Rice <(soup/salad)
Chicken Pot Pie < (soup/salad)
Beef Tacos < (soup/salad)
*6 possible outcomes
400
2x - 7 = -4x + 32
x = 6.5
400
Sierra bought a sweater at the sale price of $25. The original cost of the sweater was $40. Find the percent of the discount. (Hint: you can also think of this as a percent change problem)
37.5%
400
Solve and graph the following inequality:
0.5x + 5 < 17
x < 24
*graph should look like an open circle over the number 24 with an arrow point to the LEFT.
400
Factor the following expression using GCF factoring:
14x + 12y + 4
2(7x + 6y + 2)
400
Ms. Shamara flips a coin 5 times in a row. What is the theoretical probability that it lands on Tails all 5 times?
The theoretical probability is 1/32
500
1/3(27x+3)-4(2x+7) = 53
x = 80
500
It took Avi 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
Complete a 5-point summary for the following set of numbers:
56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44
Now it's time for the "other fun things": Write three methods for determining if two quantities organized in a table or on a graph are proportional to one another.
1) Look for a constant of proportionality (k = y/x)
2) Determine if the ratios are equivalent
3) For a graph, the line must be straight and it must pass through the origin (0,0)
500
What is the probability that Ms. Dungey will be drinking coffee?