Algebra 1
Pythagorean Theorem
a2 + b2 = c2
Inverse of f(x) = 6x + 4
y = (x - 4) / 6
Point B is (1,4) and B' is (3,-1). Determine the translation.
2 units right and 5 units down.
Simplify ln(e)
1
Slope Intercept Form
y = mx + b
Find g of f if f(x) = 2x - 4 and g(x) = -3x + 7
-6x + 19
What is a circle?
The set of all points in a plane that are the same distance away from some given point, which we call the center.
Solve 2log3(x) = log3(4) + log3(x − 1)
x = 2
Simplify 3x2 + 10x2 - 2(3x+2) + 1
13x2 - 6x + 5
Equation of a line that passes through (-5,2) with a slope of -2.
y = -2x - 8
The perimeter of a square with an area of 64
32
Find csc(x) if the cot(x) = 1/4, and pi/2 < x < pi.
sqrt(17) / 4
Solve the system of equations for x: x + y = 7 and x + 2y =11.
x = 3
Find the equation of a line that passes point (2,-10) and (-3,5)
y = -3x - 4
A circle is centered at T(-6,3) and has a radius of 11. Where does the point N(3,-3) lie?
Inside the circle
Starting today a table is being sold at Jaime's Furniture store for $345. This is 69% of its regular price. What was the price yesterday?
$500
A cell phone charges a monthly rate of $12.95 and $0.25 a minute per call. The bill for m minutes is $21.20. How many minutes were charged in this bill?
33 minutes
Your teacher gives you a test worth 100 points with 40 questions. There are 2 point and 4 point questions. How many of each type of question is on the test?
30 two-point and 10 four-point questions
Is 4x - 2y = -5 perpendicular to y = (-1/2)x - 1/10? If not what is their relation?
Yes, the slopes are negative reciprocals.
The perimeter of a rectangle is 22 ft, and the area is 24 ft2. Find the dimensions of the rectangle.