Linear Equations
The equation of a line in point-slope form.
What is 'y-y1=m(x-x1)'?
Calculate 2[1 3]
[-2 6]
What is [2 6] ?
[-4 12]
The quadratic formula
What is 'x=(-b+-sqrt(b2-4ac))/2a'?
The prime factors of 48.
What is 48=2x2x2x2x3?
The domain of a linear equation.
What is all real numbers (-∞,∞)?
The equation y=(-3/2)x+4 in standard form.
What is '3x+2y=8'?
Solve the following
x+5y=3
3x-2y=-8
What is 'x=-2','y=1'?
The solutions to (2x+3)(x-4)=0
What is 'x=-3/2','x=4'?
Simplify sqrt(75)
What is 5sqrt(3)?
The value of c that completes the square
x2+18x+c
What is c=81?
The equation of the line in slope-intercept form passing through (1,1) with slope m=3
What is 'y=3x-2'?
At a park, there are 38 people playing tennis. Some are playing doubles and some are playing singles. There are 13 matches in progress. A doubles match requires 4 players and a singles match requires 2 players. Write a system of two equations that represents the number of singles and doubles matches going on.
What is '4d+2s=38' 'd+s=13'?
The solution to the equation 2x2-50=0
What is 'x=5', 'x=-5'?
Simplify 4/sqrt(3)
What is 4sqrt(3)/3?
Let f(x)=3x+2, g(x)=(1/2)x-6
Find f(g(x))
What is f(g(x))=(3/2)x-16?
20 more than 6 times a number is equal to the number. Find the number.
What is n=-4?
The solution to the following
4a+5b-6c=2
-3a-2b+7c=-15
-a+4b+2c=-13
What is 'a=-3','b=-2','c=-4'?
The vertex of f(x)=-x2-4x
What is (-2,4)?
Simplify (2+4i)(6-3i)
What is 24+18i?
Identify the parent function of f(x)=(x-2)2+1 and its transformations
What is:
f(x)=x2
horizontal shift 2 units right, vertical shift 1 unit up?
Kim and Cyndi are starting a business tutoring students in math. They rent an office for $400 per month and charge $40 per hour per student. If they have 15 students each for one hour per week how much profit do they make together in a month?(assume 4 weeks per month)
What is $4400?
The solution to the following
2x-4y+z=3
8x-2y+4z=7
-4x+y-2z=-14
What is no solutions?
The solution to x3+4x2+9x+36=0
What is 'x=3i', 'x=-3i', 'x=-4'?
The cube root of 72x5y2
What is 2xcubert(9x2y2)?
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. a)Write the inequality that represents the amount Keith has in his savings.
b)Calculate how many weeks Keith can withdraw money from his account.
What is
a) 500-25w≥200
b) 12 weeks