Word Problems
A DVD player with a list price of 100$ is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does john pay for it?
$56
100(0.3) = 30
100 - 30 = 70
70(0.2) = 14
70 - 14 = 56
f(g(2)) = f(6) = 3(6) – 5 = 18 – 5 = 13
Different colored marbles are placed in a bag. There are 5 red marbles, 2 black marbles, and 4 green marbles in the bag. What is the probability that a green marble will be chosen?
4/11
P = G/T = 4/(5+2+4) = 4/11
What is the Pythagorean Theorem?
a^2 + b^2 = c^2
How many states make up the US?
50
Five lemonades and two cookies cost $1.50. Two lemonades and five cookies cost $2.70. How much does one cookie and one lemonade cost?
$0.60
5L + 2C = 1.50
2L + 5C = 2.70
7L + 7C = 4.20
L + C = 0.60
Solve for x: (x−8)^2=36
x = 14 or 2
x - 8 = ±6
x - 8 = 6 or x - 8= -6
x = 14 or x = 2
What is the definition of an even number?
A number divisible by 2
Name one company headquartered in Michigan
Ford, General Motors, Chrysler, Domino’s, Carhartt
One side of square PQRS has a length of 21 inches. A certain rectangle whose area is equal to the area of PQRS has a width of 9 inches. What is the length (in inches) of the certain rectangle?
Length = 49 in
AreaPQRS = side^2 = 21^2 = 441 in^2
AreaRectangle = length x width
441 in^2 = length x 9 in
÷ 9 in. ÷ 9 in
.63475634...
What is the 22nd digit after the decimal?
3
The repeating pattern after the decimal is 63475, so the 22nd number would be 3
What is a factor?
Numbers you can multiply together to get a product (3 and 4 are factors of 12)
What animal symbolizes the US?
An eagle
Of the 800 lunch orders on Tuesday at Papa's Pizzeria, 40% of the orders requested extra cheese. Of those who did NOT order extra cheese, 20% of those orders requested mushrooms. How many of the orders that did NOT request extra cheese did NOT request mushrooms?
384
The question specifies that 40% of the 800 orders had extra cheese. The word "of" always indicates multiplication in math. 40% of 800 = 0.40 x 800 = 320. If 320 orders requested extra cheese, that means that 480 of them did not.
Next, 20% of the 480 "no extra cheese" orders requested mushrooms. 20% of 480 = 0.20 x 480 = 96. If 96 of those orders requested mushrooms, that means that 384 of them did not.
Given that f(x) = 3x – 5 and g(x) = x^3 – x, what is f(g(2))?
13
g(x) = x^3 – x
g(2) = (2)^3 – 2 = 8 – 2 = 6
That's the output of g(2), so that's what we plug into f(x).
What are consecutive numbers?
Any group of numbers that are in the order they appear on the number line (-2,-1,0,1,2)
How many pets does Jamie have?
7
The cost of 2 bags, 2 caps and 1 pair of gloves is $50. If the cost of 1 bag, 3 caps and 1 pairs of gloves is $40, what is the cost of 3 bags, 1 caps and 1 pair of gloves?
$60
2x+2y+z=50 ... (i)
x+3y+1z=40 ... (ii)
Multiplying by (i) by 2: 4x+4y+2z=100 ... (iii)
Subtracting (ii) from (iii): 3x+y+z=60
Let the function f(f) be defined by f(x) = x^2 + 18. If a is a positive number such that f(2a) = 3f(a), what is the value of a?
6
What is a ratio?
A relationship between 2 quantities, normally expressed as the quotient of one divided by another (4:2)
What city is Jamie from?
Ann Arbor