Functions
Algebra: Is this a function: {(1, 2), (-2, 3), (2, 4)}
Yes, the domain does not repeat.
Algebra: What is the slope-intercept of a linear equation perpendicular to y = 2/3x+9
-3/2
Julia traveled to Argentina and Chile for a total of 16 days. In Argentina, she learned 125 new words per day. In Chile, she learned 140 new words per day. She learned a total of 2145 words. Write a system of equations using x for Argentina and y for Chile.
x + y = 16
125x + 140y = 2145
Gerry buys a car for $12,000. It depreciates at a rate of 8% per year. Write an equation to find the cost of the car after x years.
y = 12000(0.92)x
y = 12000(1-0.08)x
Solve the equation:
x2-5=44
x = 7
Algebra: simplify: 4(6ac - 3) + 5ac
Algebra: 29ac-12
Write the following equation in slope-intercept form: 6(x + 3y) = 12
y = -1/3+2/3
Solve the following system of equations:
6x − 12y = 24
−x − 6y = 4
(2, -1)
Simplify (45)2
410
Solve the equation.
2(x-5) = 12
x=11
Algebra: Solve for a: abc = 2h
Algebra: a = 2h/bc
Write an equation in point-slope form with a slope of 1/5 and passes through the point (2, -6).
y + 6 = 1/5 (x - 2)
Solve the following system of equations:
x + 7y = 0
2x − 8y = 22
(7, -1)
Simplify the following:
(x2+4x+7)2
Solve:
4(x+3)-11=5x
x = 1
Simplify: a(b - c) - 2a(c + b)
-1ab - 3ac
Write an equation parallel to the equation y = 2x+3 and goes through the point (-8, 1) in slope-intercept form.
y = 2x+17
Solve the following system of equations:
−8x − 10y = 24
6x + 5y = 2
(7, -8)
Find the product of (x - 2)(x2 + 3x -4)
x3 + x2 - 10x +8
Solve the equation.
-3x-1+5x=8x-4
x = 1/2 or 0.5
Algebra: What's the domain of a exponential function?
All Real Numbers
Write an equation perpendicular to y = -0.25x + 3 and goes through the point (5, -2) in slope-intercept form.
y = 4x-22
If two lines intersect, then the solution to the system is:
a. One solution
b. Infinitely Many Solutions
c. No solution
One solution
Factor the following polynomial.
25x2-64
(5x+8)(5x-8)
Solve the equation.
2(8x+4) = -2(x+3)
x = -7/9