Simplify the expression
2(a -3) + 4b - 2(a -b -3) + 5
6 b + 5
Solve 5/12 + 8/36. (Answer is fraction form)
23/36
Find the measure of angle x
x = 50
George goes to the store. He buys 4 dozen oranges, then walks home. On the way, he drops 1 and a half dozen of oranges. How many oranges does he have left? (actual number, not dozens)
30 oranges
What is the ratio of boys to the whole class if there are 150 boys and 223 girls?
150 : 373
Evaluate f(2) - f(1)
f(x) = 6x + 1
f(2) - f(1) = (6 × 2 + 1) - (6 × 1 + 1) = 6
Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes (m) it would take her to eat 35 hot dogs if she can keep up the same pace.
How many minutes would Mika need to eat 35 hot dogs?
Mika would need 10 minutes to eat 35 hot dogs
Find the size of angle MAC
55o
What is the value of
0.25 x + 0.15 y if 5 x + 3 y = 2?
Answer: 0.25 x + 0.15 y = 0.1
0.05(5 x + 3 y) = 0.05(2)
What is the square root of -250?
You can not find the square root of a negative number. So it is undefined
Find the distance between the points
(-4 , -5) and (-1 , -1)
d = 5
d = √[ (-1 - (-4)) 2 + (-1 - (-5)) 2 ] = 5
DAILY DOUBLE!!!!!
If (7/9)x - (4/9)x = 1/4 + 5/12. What is the value of x?
2
Find the area of a right isosceles triangle with hypotenuse equal to 24.
A= 144
A = (1/2) x * x = (1/2)x2
x2 + x2 = 242
Simplify
2 x2 = 576
x2 = 288
We now calculate the area A as follows
A = (1/2)x2 = (1/2) 288 = 144
A function is defined by the formula
y = (2x - 1) / (x + 3). What is the value of x for y = - 1 / 4?
x= 1/9
h = -16t2 + vt + k
The equation above gives the height h, in feet, of a ball t seconds after it is thrown straight up with an initial speed of v feet per second from a height of k feet. Write v in terms of h, t, and k.
v = ((h-k)/t) +16t
Find the equation of the line that passes through the points (-1 , -1) and (-1 , 2).
x = -1
m = (y2 - y1) / (x2 - x1) = (2 - (-1)) / (-1 - (-1)) = 3 / 0
The slope is undefined which means the line is perpendicular to the x axis and its equation has the form x = constant. Since both points have equal x coordinates -1, the equation is given by:
Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people (p) she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.
How many people can Rita feed with 55 pancakes?
Rita can feed 20 people
The size of the angle AOB is equal to 132o and the size of angle COD is equal to 141o. Find the size of angle DOB.
93o
Alex died last night at 10:00pm. The murderer made it back to his house by 23:00. If he lived 20 miles away, how fast did he travel? (Answer in MPH)
20 MPH
If (3/5)*w = 4/3, what is the value of w?
20/9
Simplify: (3x2y-2)3 / (9xy3)3
(1/27)(x3 / y15)
Last night I ate 4 burgers, and drank 8 sodas. If a soda costs $6.21, and a burger costs $8.76, how much money did I spend?
$84.72
Find the measure of angle QPB.
148o
Given the system of equations
0.2 (x + y)2 = 4 and 0.5 (x - y)2 = 3, find the value of the product xy.
xy = 7/2
What digit is the most frequent between the numbers 1 and 1,000?
1