Random
What is the formula for the area of a circle?
A = πr2
What is an independent variable and which axis is it located on in the graph?
The variable that doesn't depend on another variable to change
Horizontal axis
I drive to Starbucks at a constant speed of 20 mph. The distance between my house and Starbucks is 45 miles. How long does it take for me to go from my house to Starbucks?
2.25 hours
y = 2x
2x + y = 4
x = 1
y = 2
What is a varying quantity?
Quantity that changes
Write the formula for speed in terms of distance and time.
s = d/t
Solve for n.
−6n − 20 = −2n + 4(1 − 3n)
n = 3
Suppose you were building a house and went shopping for some floorboards, however the area isn’t given to you. Instead you know that the length of the floorboard is (36-x) m, while the width is 6 m. Find the area with the given dimensions.
A = (216 - 6x) m
x − y = 11
2x + y = 19
(10, -1)
What does the vertical axis on the graph represent?
Dependent variable
Write y in terms of x.
2x3+3y-5 = x3-6x-5
y = (-x3/3) - 2x
Solve for x.
5 + 2x = 2x + 6
No solution
Find the value of x, such that the areas of both rectangles are the same:
Rectangle 1: L = x in.; w = 14 in.
Rectangle 2: L = (x-3) in.; w = 16 in.
x = 24
−7x + y = −19
−2x + 3y = −19
(2, -5)
How can you determine whether the rate of change is constant?
Find the rate of change between consecutive points. If the rates of change between consecutive points are the same, then the rate of change is constant.
[(a2b3)/c]*(a3+b6+c3)*5abc
a = 2; b = 1; c = 3
1440
−4x + 9y = 9
x − 3y = −6
(9, 5)
The area of a rectangle is 24 m2. The length is 2 meters shorter than the width. Find the length and the width.
w = 6 m
l = 4 m
8x + 14y = 4
−6x − 7y = −10
What are the ways you can solve a system of linear equations?
1. Substitution Method
2. Elimination Method
3. Graphing Method (point where lines intersect is the solution)
Find the y-intercept. Write the answer as a point.
y = 3x5+ 7x4+ 3x2+ 9x + 2
(0,2)
Write an equation in slope-intercept form for a line that goes through the points (5,3) and (8,12).
y = 3x - 12
I start 10 miles from the store. I am biking at 5 mph away from the store. How far away from the store am I after an hour and 15 minutes?
16.25 miles
2x + 8y = 6
−5x − 20y = −15
Infinite number of solutions
y-y1 = m(x-x1)
Name this form of writing a linear equation and dissect the parts of the equation.
point-slope form
m = slope = rate of change
(x1,y1) is the point