Simplify
75(1/3)
25
Simplify
(6 ÷ 2)(1+2)
9
Find the Slope 4x = 15y - 3
4/15
Simplify
5^4
625
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%
On a flat plane, all angles in a triangle must add up to how many degrees?
180 degrees
Simplify.
(x+4)(x-1)
x^2+3x-4
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
Simplify
1/10 xx 2/52
1/260
Simplify
63/9 xx 42/7 - 59
-17
Find y-intercept 8y = 5x - 3
5/8
Simplify
[(26 x 10^2)^5]^0
1
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%
On a flat plane, all angles in a square must add up to how many degrees?
360 degrees
Will f(x) open up or down?
f(x)=-4x^2+10x-9
Down
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
Simplify
12/16 - 28/80
2/5
Simplify
[(2 + 63 / 3) + 7]^2
900
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
(30)(40) = 12 xx 10^n
n = ?
n = 2
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
What is the volume of the rectangular prism?
324\ cm^3
What is the quadratic formula?
x=[-b+-sqrt(b^2-4ac)]/(2a)
Solve for x.
|x-3| = 5
x = -2, 8
Annette Force's physics class has 12 boys and 18 girls. In simplest form, boys are what fraction of the class?
2/5
Find x.
3(2x-3)=33
x = 7
A train named Thomas travels at 18 km/hr. How many meters will he travel in 12 minutes?
3600 meters
Simplify
(x^6y^12)/(xy^2)
x^5y^10
What is the probability of getting purple and then an even number?
1/8
Name 2 pairs of supplementary angles.
angle2 != angle3
1-2, 1-5, 5-6, 2-6, 3-7, 3-4, 7-8, 4-8
Factor.
x^2-6x+9
(x-3)(x-3) or (x-3)^2
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
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
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
What is the solution (x, y) to the system of equations?
6x+3y=33
6x-y=5
(2, 7)
Simplify.
(2x^3)^4 +(2x^4)^3
24x^24
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
Find the area and perimeter of the triangle.
A = 81in
P = 40in
Factor completely.
2x^2+6x+4
2(x+1)(x+2)
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
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
Given the equation below, what is the value of x+36?
-1+10^2(3*8+1)+(15÷5-2)
-2500
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
Find x.
8^(x-3) = 16^(4-x)
x= 24/7
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%
What is the value of y in degrees?
60 degrees
Find the vertex.
x^2-2x-2
(1, -3)
What is the formula to find the area of a trapezoid?
Area = (1 / 2) × H × (B1 + B2)
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
Solve x+36.
(-(x + 30) + 36 / 9)÷2 = 5
0
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
Find x:
64^(1/2) = 32x
x =
1/4
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
Calculate the area of the trapezoid.
448 ft^2
What is the discriminant of f(x)?
f(x)=-4x^{2}+12x-9
b^2-4ac = 1
What is the range of this list of numbers? 93, –76, 102, –101, 83, –48
203