Basic Algebra
Suppose that y varies directly as x, and y=14 when x=4. What is the value of y when x=9?
31.5
Find each product
(2x+5) (5x+2)
10x2 + 29x + 10
What are the integral roots of
x2 - 3x - 4 = 0
-1 , 4
Simplify
Square root of 36x2y7
6xy3square root of y
I have $400, I use 12.5% to buy clothes 10% to buy food, how much money do I have left?
$310
AUDIENCE QUESTION
Write an equation of a line in slope-intercept form with the given values
(-4,2) ; slope -3
y= -3x-10
Solve for each equation
6x2 = 12x
0 , 2
What is the minimum value of
f(x)= x2 + 6x + 5?
-4
Simplify
(6root 5 + 2) (4root2 + root3)
24root10 + 8root2 + 6root15 + 2root3
AUDIENCE QUESTION
4.7 squared is ?
between 22 and 24
Ben has $24 to spend on cookies and cupcakes. Write an inequality that represents what Ben can buy
2x + 3y less than or equal to 24
AUDIENCE QUESTION
Find the sum
(x3+2) (-3x3-5)
-2x3-3
Write a formula for the following
Domain: 0,1,2,3,4
Range: 0, 3, 12, 27, 48
y=3x2
AUDIENCE QUESTION
Can the following lengths 12, 16 and 21 be the sides of a right triangle?
no
What is the longest side of a triangle?
hypotenuse
Solve each of the equations
2x + 6y = 18
3x + 2y = 13
(3,2)
Factor the polynomial
4 - 28a +49a2
(2-7a)2
AUDIENCE QUESTION
Does y=x2 - 2x - 3 have a maximum or minimum value?
minimum
A ladder is leaning on a building. The base of the ladder is 10ft from the building, and the ladder reaches 15ft on the building. How long is the ladder?
You find yourself wearing a pair of dirty overalls. You take a quick look around and see that you are surrounded by angry pigs. Luckily, some fence boards are lying around, so you attempt to close up the pigs in a pen. However, you're not sure if you have enough boards to fit them all in! What type of rectangular pig pen would provide the greatest area in which to house the pigs?
square
Evaluate
(4.2 x 106) (5.7 x 108)
2.394 x 1015
Solve
(x-5)2 = 121
16 , -6
What is the range of f(x)= lx+3l
f(x)greater or equal to 0
At a local mall, an escalator is 110 feet long. The angle the escalator makes with the ground is 29 degrees. Find the height reached by the escalator.
How many legs are there altogether on 2 spiders and 3 crickets?
34