Algebra
10(x+3)-(-9x-4)=x-5+3
What is x=-2?
The perimeter of a triangle is 39 ft. The first side is 3ft more than twice the second side. The third side is 4ft less than the second side. Find the measure of the longest side.
What is 23 feet?
The Richards family bought some new camping gear that totaled to $318.50. Then they received a 30% discount. What was the amount that they paid?
What is $222.95?
Define mean (how to calculate mean), median, and mode.
Mean: the average of a set a numbers. This is found by summing the numbers and dividing by the amount of numbers in the set.
Median: the middle number in a set
Mode: the number that appears the most in the set
To solve equations we must isolate the variable.
What is 40b2 - 45b + 5?
The area of a cubic box is 9 square feet. Find the volume of the box.
What is 27 cubic feet?
At the beginning of March, Alice gave Luke 40% of her baseball cards. At the end of month, she gives Luke 40% of the remaining cards. Out of her original collection, what percent does Alice still have in her possession?
What is 36%?
Define a variable
Variable: a letter that represents an unknown number in an equation
What is the rule when multiplying or dividing by a negative in an inequality?
We have to flip the inequality sign.
7 < -(-k-3) + 2
What is k > 2?
Do the side lengths of a=6, b=8, and c=9 make a right triangle?
No
Jen borrowed $1500 from her parents for car repairs. She plans to take 10% of her $450 weekly income to pay them back. At this rate, how many weeks will it take her to pay off the long?
What is 34 weeks?
a2 + b2 = c2 , c represents the longest side which is called the hypotenuse
What is the equation we use to find the total number of angles in a shape?
total angle measure = (n-2)*180
On Tuesday, Junior bought five hats. On Wednesday half of all the hats that she had were destroyed. On Thursday only 17 hats were left. How many hats did she have on Monday?
What is 29 hats?
A fish tank has a height of 14 feet, a width of 12 feet, and length of 25 feet. What is the volume of water needed to fill 3/4 of the tank?
What is 31.5 cubic feet of water?
A box contains 2 red marble, 3 white marble, 4 green marbles and 1 blue marble. Two marbles are drawn at random without replacement. Find the probability of selecting a white marble in a first draw and white or blue in a second draw.
What is 1/10?
What is a binomial?
A binomial is an algebraic term that has two terms within it.
What is the difference between permutation and combination?
With permutations, order matters. With combinations, order does not matter and we are looking for any combination within the set.
Your uncle tells you that you can have all the coins in his pocket if you can guess the correct amount that he has. He only has gold dollar coins and quarters, with a total value of $17.00. How many quarters and how many dollar coins does he have in his pocket?
What are 12 quarters and 14 dollar coins?
Ms. Quine bought a rectangular field 300 meters wide and 500 meters long. The cost was $3,000. What was her cost per square meter?
What is $0.02?
Buffy has taken 4 tests so far in her history class. Her scores on the tests were 72, 78, 81, and 85. The score on her final exam will be counted twice in her mean. What is the lowest score she can get on her final exam and have a mean score of no less than 80?
What is 82?
How do we multiply binomials? What is the acronym we use, and what does it stand for?
We multiply binomials by factoring, which we do through FOIL. FOIL stands for first, outer, inner, and last.
What does SOHCAHTOA stand for? Please define each.
Sine=opposite/hypotenuse, Cosine=adjacent/hypotenuse, and Tangent=opposite/adjacent.