Factoring
x2+4x-32
(x-4)(x+8)
Find the volume and surface area of a rectangular prism with length 1ft, width 1ft, and height 1ft.
Volume = 3ft3
Surface Area = 14ft2
In a bag full of marbles, 1/4 of them are green, 1/8 are blue, 1/12 are yellow, and the remaining 26 balls are white. How many balls are blue?
6 balls are blue
Write the slope-intercept form of the equation of the following line: 13x − 11y = −12
y=13/11 x +12/11
Solve the following inequality:3<-5n+2n
n<-1
z2-10z+21
(z-3)(z-7)
Find the volume and surface area of a cylinder with radius 4 inches and height 6 inches. Round to the nearest tenth for each.
Volume=301.4in3
Surface area=251.2in2
The length of the side of a square is doubled. What is the ratio of the areas of the original square to the area of the new square?
1:4, 1 to 4, or 1/4
Write the standard form of the equation of the line through the given point with the given slope: (1,2) and slope=7
7x-y=5 or y=7x-5
Solve the following inequality: -138>-6(6b-7)
b>5
y2+16y+60
(y+6)(y+10)
Find the area and circumference of a circle with radius 4 ft. Use pi=3.14
Circumference=24ft
Area=50.24 ft2
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N
N=197
Write the standard form of the equation of the line through the given point with the given slope: (3,5) and slope=5/3
5x-3y=0 or y=5/3x
Solve the following inequality: 5(6+3r)+7>127
r>6
x2+14x+49
(x+7)2
The surface area of a cone is 100𝛑 square meters. What is the slant height l of the cone?
l=15 meters
A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the field has a length that is twice its width, find the area of the field in square meters.
20,000 m2
Write the point-slope form of the equation of the line described: through (4,2), parallel to y=-3/4x - 5
y-2=-3/4(x-4)
Solve the following inequality: 167<6+7(2-7r)
r<-3
4w2-25
Find the surface area of a square pyramid with base side length of 5in and slant height of 8in.
Surface Area=105in2
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
$15.75
Find the general equation of a line whose slope is 3 and y-intercept is 4.
y=3x+4
-x<-x+7(x-2)
x>2