Equations and Inequalities
Solve for x
8 - 3x = 20
x = -4
Find the midpoint of the two points
(8, -3) (-5, 22)
(1, 9)
3 less than a number times 2 equals 9. Find the number
6
(3x - 8)(2x + 5)
6x2 - x - 40
Find 12.5% of 16
2
Solve for x
15x - 6 > -1
x > 1/3
(-9, 5) (1, -3)
m = -4/5
You are going to bake cookies. You already baked 18 cookies. Now you bake 12 cookies an hour. How many hours will it take for you to have 78 cookies?
5 hours
(2x3y2z)5
32x15y10z5
Find the solution to the following system of equations
y=−3x−10
−2x−3y=−12
(-6, 8)
Solve for x
5x + 33 = 3(7x - 1) + 4
x = 2
y = 6x - 10
2y - 6x = 5
Neither
The sum of three consecutive integers is −234. Find the integers.
-79, -78, -77
Factor 12xy4 - 8x2y
4xy(3y3 - 2x)
You buy one pair of pants that costs $15 and two shirts that are $9 each. You have a coupon for 20% off your entire purchase. How much do you pay in total?
$39.60
Solve for x
20 - 2x > 4x - 2(x + 2)
x < 6
Find the equation of the line that is perpendicular to the line y = -1/2 x - 9 and passes through the point (3, -5)
y = 2x - 11
The length of a rectangle is three times the width. The perimeter is 240 inches. Find the length and the width.
L = 90, W = 30
Divide
2x3 - 3x2 + x - 8 / x - 2
2x2 + x + 3 - (2/x-2)
The perimeter of a triangular park is 72 feet. The lengths of two sides are 36 feet and 20 feet. How long is the third side?
16
Solve for a
g = ca - b
a = (g + b)/c
Find the equation of the line that passes through the points (7, 11) and (-1, 5)
y = 3/4 x + 5.75
A scientist needs 150mL of a 15% acid solution for an experiment. The lab has available a 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of the 25% solution should the scientist mix to make the 15% solution?
100mL of 10% and 50mL of 25%
Factor completely
6x3 + 28x2 + 16x
2x(x + 4)(3x + 2)
4x3 - 8x + 6 / (6x2)
(2x/3) - (4/3x) + (1/x2)