Slope
In the standard form of y=mx+b, which variable represents slope?
m
Which test can you use to prove whether a graph is a function or not?
Vertical Line Test
Draw the graph of y = 2.
horizontal line at y = 2.
Solve the following system of equations for x:
x + y = 6
x - y = 2
x = 4
The expression (32)(33)(34) is equivalent to
39
What is the slope of the line whose equation is y= 2x - 10 ?
2
Which values cannot repeat for a graph to be a function?
x-values
An equation of the line that passes through the point (0, -1) and whose slope is 2 is:
a) y = 2x + 2
b) y = 2x - 1
c) y = -x + 2
d) y= -2x - 1
B
Solve the following system algebrically:
3x + y = 3
y = 2x - 7
( 2, -3 )
x = 2, y = -3
The expression 23(42) is equivalent to
27
What is the slope of a line represented by the equation 2y = x - 4 ?
1/2
What are the values of the domain and range?
domain = x- values
range = y-values
Write an equation of the line whose slope is -2 and whose y-intercept is 1.
y = -2x + 1
Find the solution to the following system of equations:
2x + y = 7
x - 2y = 6
(4, -1)
x = 4, y = -1
Which expression is equivalent to (3x2)3
a) 9x5
b) 9x6
c) 27x5
d) 27x6
D
What is the slope of the line that passes through the points (4,5) and (7,3)?
-2/3
Which relation represents a function ?
a) {(0,3), (2,4), (0,6)}
b) {(-7,5), (-7,1), (-10, 3), (-4,3)}
c) {(2,0), (6,2), (6,-2)}
d) {(-6,5), (-3,2), (1,2), (6,5)}
D
Write an equation of the line that passes through the point (0,3) and whose slope is -5.
y = -5x + 3
During its first week of business, a market sold a total of 108 apples and oranges. The second week, five times the number of apples and three times the number of oranges were sold. A total of 452 apples and oranges were sold during the second week. Set up a system of equations. You do not need to solve.
a= apples, o= oranges
108 = a+o
452 = 5a+3o
The expression (10w3)2 / 5w
20w5
What is the slope of the line whose equation is
3x - 4y = 16 ?
3/4
If f(x) = -2x2 + 6, find the value of f(-3).
f(-3) = -12
Write an equation of the line that passes through the point (5, -2) and has a slope of -3 ?
y = -3x + 13
Alexandra purchases two doughnuts and three cookies at a doughnut shop and is charged $3.30. Briana purchases five doughnuts and two cookies at the same shop for $4.95. All the doughnuts have the same price and all the cookies have the same price. Set up a system of equation to find the cost of one doughnut and the cost of one cookie.
1 cookie = $0.60
What is the standard form of an exponential equation?
y=a(b)x