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Module 6 Quiz Review
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Terms in this set (31)
A linear equation is a ___________ line when graphed.
straight
The slope of a horizontal line is...
0
The slope of a vertical line is...
undefined
On a graph, x = 2 would have what domain and range?
domain: 2
range: all real numbers
On a graph, y = 2 would have what domain and range?
domain: all real numbers
range: 2
The ordered pair is (2, 2). Which equation does this match with?
(a) y = 3x + 2
(b) y = 1x + 3
(c) y = -1x + 4
(d) y = 10x - 2
(c) y = -1x + 4
if plugging in (2, 2) for x and y, -1(2) would be -2, and -2 + 4 would be 2.
What is the formula for standard form?
Ax + By = C
What is the slope-int form?
y = mx + b
What is slope formula?
y2 - y1/x2 - x1
What is the slope of the line containing the points (3, 1) and (-1, 3)?
-1/2
If x = 8, what would f(x) be in f(x) = -x + 2?
f(x) = -6
Make a linear function whose graph has a slope of 3 and a y-int of -8?
f(x) = 3x - 8
What does f(x) mean?
y
Does a steeper line or a flatter line have a greater slope?
steeper
What is 5a = b-1/2 when solving for b?
b = 10a + 1
Which is not a function?
a) (1, 2), (3, 4), (5, 6), (7, 8)
b) (1, 2), (1, 3), (1, 4), (1, 5)
c) (1, 1), (2, 1), (3, 1), (4, 1)
b)
one x-value paired with multiple y-values
Which equation is the standard form of a line that contains the point of (2, 1)?
(a) 3x + 2y = 9
(b) 2x + y = 5
(b) 2x + y = 5
What are some rules on linear functions?
- A,B,C are real numbers
- A and B cannot both be 0
- x and y have an exponent of 1
- x and y are not multiplied together
- x and y do not appear in denominators, rationales, or exponents
Is this a linear function: 12x + 3y = 6
yes
Is this a linear function: -x^2 + 6y = 24
no
-x is squared
Is this a linear function: 6x - 1/2y = 3
yes
Find the x- and y-intercepts: 3x + 7y = 42
x = 14
y = 6
Find the slope of the line: 2x + 2y = 7
m = -1
Find the slope of this line: 9 = 3y
m = 0
Find the slope of this line: 4x - 3y = 0
m = 4/3
What can a linear function be represented by?
equations w/ f(x), tables, graphs, mapping diagrams, verbal descriptions
Grace works from 10 to 20 hours per week while attending college. She earns $9 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t) = 10t, where 5 ≤ t ≤ 15. Write an equation for Grace.
g(x) = 9t
Grace works from 10 to 20 hours per week while attending college. She earns $9 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t) = 10t, where 5 ≤ t ≤ 15. Find the domain and range of the functions.
GRACE:
- D: 10 ≤ t ≤ 20
- R: 90 ≤ g(t) ≤ 180
FRANCES:
- D: 5 ≤ t ≤ 15
- R: 50 ≤ f(t) ≤ 150
A landscaper uses a water hose to fill a tank. The water flows at a rate of 5 gallons per minute. The tank holds 400 gallons of water. There are 50 gallons of water in the tank when the landscaper starts filling it. Determine the equation that expresses the amount of water in the tank A(t) in gallons after t minutes. Find the domain and range.
EQ: A(t) = 5t + 50
D: 0 ≤ t ≤ 70
R: 50 ≤ A(t) ≤ 400
Find the slope, domain, y-int, and range of the table below:
x..............f(x)
-1...............7
0................4
1.................1
2...............-2
m = -3
D: -1 ≤ x ≤ 2
R: -2 ≤ f(x) ≤ 7
YINT: y = 4
If the points are (3, 5), (0, 1), and (-2, -5), what would the range, domain, y-int, and slope be?
m = 2/1
D: -2 ≤ x ≤ 3
R: -5 ≤ f(x) ≤ 5
YINT: y = 1
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