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
Rachel puts 8 red marbles and 2 green marbles in a bag. Without looking, she pulls one out of the bag. What is the possibility of pulling a green marble?
1/5 or 20%
100
On a flat plane, all angles in a triangle must add up to how many degrees?
180 degrees
100
Simplify.
(x+4)(x-1)
x^2+3x-4
100
In a class, there are 30 kids with yellow t-shirts and 12 kids with blue t-shirts. Determine the ratio of the number of people wearing yellow t-shirts to blue t-shirts in simplest form.
5:2
200
Simplify
1/10 xx 2/52
1/260
200
Simplify
63/9 xx 42/7 - 59
-17
200
Find y-intercept 8y = 5x - 3
5/8
200
Simplify
[(26 x 10^2)^5]^0
1
200
Alex has a bag of marbles, 4 white, 8 blue, and 6 red. She pulls out one red marble from the bag without replacing it. What is the probability that the second marble she pulls out of the bag is white?
4/17 or 0.23 or 23%
200
On a flat plane, all angles in a square must add up to how many degrees?
360 degrees
200
Will f(x) open up or down?
f(x)=-4x^2+10x-9
Down
200
Taylor has 20 pieces of candy. 5 are chocolates and the rest are gummies. Taryn steals 4 gummies. How many gummies does Taylor have left?
11
300
Simplify
12/16 - 28/80
2/5
300
Simplify
[(2 + 63 / 3) + 7]^2
900
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
(30)(40) = 12 xx 10^n
n = ?
n = 2
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 and NOT an officer, will be chosen?
1/27
300
What is the volume of the rectangular prism?
324\ cm^3
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
What is the probability of getting purple and then an even number?
1/8
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 Home Beepot, the bulk price for honey is $2.50 per pound, with a minimum purchase of 20 pounds. If Jae paid $80 for some honey, by how many pounds did Jae's purchase exceed the minimum?
12 pounds
500
On Archy Tecture'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 subtracted from the product of a number and three, and 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
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
500
Find the area and perimeter of the triangle.
A = 81in
P = 40in
500
Factor completely.
2x^2+6x+4
2(x+1)(x+2)
500
Below are different yearly salaries in thousands of dollars per year of teachers at Honey High School. Find the mean yearly salary.
41, 38, 36, 57, 43,
43 thousand dollars
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+36?
-1+10^2(3*8+1)+(15÷5-2)
-2500
600
Youssef 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
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%
600
What is the value of y in degrees?
60 degrees
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 contest, 624 people from a sample of 1,100 indicated they would vote for Marzuk. How many votes can Marzuk expect to receive from a population of 40,000?
22690 votes
700
Solve x+36.
(-(x + 30) + 36 / 9)÷2 = 5
0
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
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
Calculate the area of the trapezoid.
448 ft^2
700
What is the discriminant of f(x)?
f(x)=-4x^{2}+12x-9
b^2-4ac = 1
700
What is the range of this list of numbers? 93, –76, 102, –101, 83, –48
203