Algebra
If f(x)=3x −7x+5, then what is f(−1)
9
Diagram
Find the area of the shaded region.
208 cm2
If 3(c+d) = 5, what is the value of c+d?
5/3
200
Linda walked for 2 hours then ran for 1 hour. If she runs three times as fast as she walks and the total trip was 20 kilometers, then how fast does she run?
12 km/hr
Let x be the walking speed. 3x will be the running speed. 2*(x) will be the distance walked and 1*(3x) will be the distance run. The total distance is 20 km. Hence
2x + 3x = 20
x = 4 km/hr , 3x = 12 km/hr and it is the speed of Linda when running.
What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?
1 and 9
What value of x makes "3 to the x power = 81", a true statement?
4
Line L passes through the points (1,3) and (-3,4). Find the x intercept.
13
If the original price of a house is $185,000 and it falls to $160,000, what is the percent decrease?
13.51%
400
At a restaurant, n cups of tea are made by adding tea bags to hot water. If t = n+2, how many additional tea bags are needed to make each additional cup of tea?
1
If a boy blows 18 bubbles,
Then pops 6 eats 7 and then
He pops 5 and blows 1.
How many are left?
1
What is the sum of a2 - 1 and a + 1?
a2 + a
The length of a rectangular field is 7/5 its width. If the perimeter of the field is 240 meters, what are the length and width of the field?
W = 50 m and L = 70 m
Perimeter: 2L + 2W = 240,
2(7/5)W + 2W = 240
Solve the above equation to find:
W = 50 m and L = 70 m
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate is needed to make 48 signature chocolate muffins? (1 pound=16 ounces)
7.5 pounds
600
In a cafeteria, 3 coffees and 4 donuts cost $10.05. In the same cafeteria, 5 coffees and 7 donuts cost $17.15. How much do you have to pay for 4 coffees and 6 donuts?
$14.20
How can you take 2 from 5 and leave 4?
F I V E
Remove the 2 letters F and E from five and you have IV.
What are the solutions to the quadratic equation 4x2−8x−12=0?
x = −1 and x = 3
Diagram
What is the value of xo?97o
If a2+b2 = z and ab = y, what is equivalent to
4z + 8y?
(2a+2b)2 or 4a2 + 4b2 + 8ab
800
√(k+2) - x = 0
In the equation above, k is a constant. If x=9, what is the value of k?
79
There is a clothing store in Bartlesville. The owner has devised his own method of pricing items. A vest costs $20, socks cost $25, a tie costs $15 and a blouse costs $30. Using the method, how much would a pair of underwear cost?
$45. The pricing method consists of charging $5 for each letter required to spell the item.
The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
5
N + 1/N = 78/15
Multiply all terms by N, obtain a quadratic equation and solve to obtain N = 5.
Diagram
Find the size of angle MAC
55o
If 2(p+1) + 8(p-1) = 5p
What value of p is the solution of the equation above?
6/5 or 1.2
1000
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
3 novels
4n+ m= 20
n+ m= 11
How many ways can a group of 12 choose a committee of 9?
220 ways
a!/b!⋅(a−b)!
12!/9!⋅(12!⋅9!) = 220