Ratios and Proportions
PEMDAS
Linear Equations
Exponents
Probability
Geometry
Quadratics
Miscellaneous
100
Simplify
75(1/3)
25
100
Simplify
(6 ÷ 2)(1+2)
9
100
Find the Slope 4x = 15y - 3
4/15
100
Simplify
5^4
625
100
Garen puts 8 red marbles and 2 green marbles in a bag. Without looking, he pulls one out of the bag. What is the possibility of pulling a green marble?
1/5 or 20%
100
Find the area and perimeter of the triangle.
A = 81in
P = 40in
100
Simplify.
(x+4)(x-1)
x^2+3x-4
100
Write numerically and solve:
18 less than 2
2 - 18 = -16
200
Simplify
1/10 xx 2/52
1/260
200
Simplify
198/9 xx 256/42 - 4024
-3672
200
Find y-intercept 4x = 15y - 3
3/4
200
Simplify
[(26 x 10^2)^5]^0
1
200
Mike has a bag of marbles, 4 white, 8 blue, and 6 red. He pulls out one red marble from the bag without replacing it. What is the probability that the second marble he pulls out of the bag is white?
4/17 or 0.23 or 23%
200
Calculate the area of the trapezoid. 
448 ft2
200
Will f(x) open up or down?
f(x)=-4x^2+10x-9
Down
200
Sally has 20 pieces of candy. 5 are chocolates and the rest are gummies. Her brother steals 4 gummies. How many gummies does she have left?
11
300
Simplify
12/16 - 76/128
5/32
300
Simplify
[(2 + 72 / 3) + 7]^2
1089
300
A line in the xy-plane passes through (0, 3) and (1, 5). What is the equation of the line in slope-intercept form?
y=2x+3
300
(300)(400) = 12 xx 10^n
n = ?
n = 4
300
The 32-member French Club wants to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 5 officers of the club. What is the probability that Delaney, who is a member of the club but NOT an officer, will be chosen?
1/27
300
On a flat plane, all angles in a triangle must add up to how many degrees?
180 degrees
300
What is the quadratic formula?
x=[-b+-sqrt(b^2-4ac)]/(2a)
300
Solve for x.
|x-3| = 5
x = -2, 8
400
Annette Force's physics class has 12 boys and 18 girls. In simplest form, boys are what fraction of the class?
2/5
400
Find x.
3(2x-3)=33
x = 7
400
A train named Thomas travels at 18 km/hr. How many meters will he travel in 12 minutes?
3600 meters
400
Simplify
(x^6y^12)/(xy^2)
x^5y^10
400
To make a 750-piece jigsaw puzzle harder, a puzzle company includes 5 extra pieces in the box, along with the 750 pieces. The extra 5 pieces do not fit anywhere in the puzzle. If you selected one piece at random, what is the probability that it will be one of the extra pieces?
5/755
400
Name 2 pairs of supplementary angles.
angle2 != angle3
1-2, 1-5, 5-6, 2-6, 3-7, 3-4, 7-8, 4-8
400
Factor.
x^2-6x+9
(x-3)(x-3) or (x-3)^2
400
At Honey Beepot, the bulk price for honey is $2.50 per pound, with a minimum purchase of 20 pounds. If Bobby paid $80 for some honey, by how many pounds did Bobby's purchase exceed the minimum?
12 pounds
500
On Archy's drawing of the floor plan in his house, 1 inch represents 3 feet. If he sketches a rectangle with sides of lengths 3.5 inches and 5 inches, what is the actual floor area of the room?
157.5"ft"^2
500
Write as an equation and solve for the number:
Ten added to the product of a number and three is equal to twice the number.
3x+10=2x
x=-10
500
What is the solution (x, y) to the system of equations?
6x+3y=33
6x-y=5
(2, 7)
500
Simplify.
(2x^3)^4 +(2x^4)^3
24x^24
500
If x is chosen randomly from the set (4, 6, 7, 9, 11) and y is chosen randomly from the set (12, 13, 15, 17) then what is the probability that xy is odd?
9/20 or 0.45 or 45%
500
What is the value of y in degrees?
60 degrees
500
Factor completely.
2x^2+6x+4
2(x+1)(x+2)
500
Find the mean
23, 32, 16, 19, 205, 239, 738, 8392, 109334
13222
600
On Thursday, 240 adults and children attended a show. The ratio of adults to children was 5 to 1. How many children attended the show?
40 children
600
Given the equation below, what is the value of x+94?
(-(x + 30) + 36 / 9) / 4 = 17
x+94 = 0
600
Bill purchases a television with a price of $300 with an initial payment of $60 and weekly payments of x dollars. If the television is fully paid off after 8 weeks, how many x dollars did Bill spend per week?
$30 per week
600
Find x.
8^(x-3) = 16^(4-x)
x= 24/7
600
A circle is inscribed inside a square. If a point inside the square is selected at random, what is the probability that the point will also be inside the circle?
pi/4 or 0.785 or 78.5 %
600
Calculate the area of the shaded sector.
42.7"cm"^2
600
Find the vertex.
x^2-2x-2
(1, -3)
600
What is the formula to find the area of a trapezoid?
Area = (1 / 2) × H × (B1 + B2)
700
In a public opinion poll, 624 people from a sample of 1,100 indicated they would vote for a specific candidate. How many votes can the candidate expect to receive from a population of 40,000?
22690 votes
700
Solve:
14-10^2(3*8-2+1)+(15÷5-2)
-2285
700
A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck's revenue from selling a total of 209 salads and drinks was $836.50. How many salads were sold that day?
93 salads
700
Find x:
64^(1/2) = (32x)/1^-1
x =
1/4
700
A bag contains 12 red marbles, 5 yellow marbles, and 15 green marbles. How many more red marbles must be added to the 32 already in the bag so that the probability of randomly drawing a red marble is 3/5?
18 red marbles
700
"What is the area of"\ square ABCD\ "if the length of"\ BD\ "is"\ 2sqrt(2)"?"
4
700
What is the discriminant of f(x) and how many real solutions will f(x) have?
f(x)=-4x^{2}+12x-9
b^2-4ac = 1
"1 real solution"
700
If there are 4 apples and you take away 3, how many do you have?
You took 3 apples, so you have 3