Algebra
Name _______________________
Review Sheet for Linear Equations Quiz #1
Block ______
1)
What does the graph of a linear equation look like?
2)
Is a linear equation always a function?
3) How do I recognize a function if I’m given a set of ordered pairs, a mapping, or
a table?
4) How do I recognize that a graph is a function ?
5) What is the domain?
6) What is the range?
7) What does function notation look like? What represents the input and what
represents the output?
8) How do I check if an ordered pair is a solution to a linear equation?
9) Where are the x and y intercepts of a graph and which one is called a “zero”?
Determine if the ordered pair is a solution to the equation. Show all work.
10) x  3 y  12 ;  6, 2 
11) x 
1
y  9 ; 10, 2
2
Identify the domain and range and explain why it is/is not a function:
12)
14)
input
3
1
-1
3
output
1
2
3
4
1
2
-5
4
3
8
15
13)
15)
 1, 1 ,  2, 2  , 3, 4  ,  4, 4 
16) Evaluate the function g  x   5x  4 when x  2,
17) Find the value of x so that the output of the function f  x   6 x  12 is 20.
Find the intercepts, write them as ordered pairs, and graph the lines .
18)
5 x  7 y  35
19) 7 x  2 y  14
x-int:
x-int:
y-int:
y-int:
20) What point is a Zero for #17? __________
#18?___________
Using a T-chart (table), graph ALL solutions to the equation. You should have at
least 3 ordered pairs in each table.
21 ) y  2 x  5
22) 3x  2 y  8
23)
y  3
24) y  2 x  3
25)
x6
26) y  2 x  3
Review Sheet Linear Equations Quiz #1 – KEY
1)
The graph of a linear equation is always a line ( a restricted domain may change this).
2)
Linear equations are not always functions. Vertical lines are the only lines that are NOT
functions.
3)
Each input is paired with only one output. There are no repeated x-values!
4)
The graph of a function must pass the vertical line test.
5)
The domain is the set of all inputs or x-values.
6)
The range is the set of all outputs or y-values.
7)
Function notation is, for example,
8)
Substitute the x and y values from each ordered pair into the equation. If the statement is
true, then the ordered pair IS a solution. If the statement is false, then the ordered pair is
NOT a solution.
9)
To find the x-intercept substitute 0 in for y and solve the equation. To find the y-intercept
substitute 0 in for x and solve the equation.
f  x   3x  1 . The input is x and the output is f  x  .
The x-intercept is also called a Zero of the graph.
10) solution.
12) Domain:
11) not a solution.
1,1,3
Range:
1, 2,3, 4
13) Domain:
Not a function because 3 is used twice as
an input.
14) Domain: {-5, 1, 2 }
Range: {3,4,8,15}
Not a function because 2 is a
repeated x value
16) 14
18) x intercept: (7,0)
y intercept (0,-5)
See next page for graph
1, 2,3, 4
Range:
This is a function because each input is
only used once.
15) Domain: All Real Numbers
Range: y ≥ 2
This is a function because it passes
the vertical line test.
17) 
4
3
19) x intercept: (2,0)
y intercept (0,-7)
See next page for graph
20) (7,0) is a Zero on #17 and (2,0) is a Zero on #18
1, 2, 4
18)
19)
Note! For #21-25 you may not have exactly the same dots but should have the same line!
22)
21)
15)
23)
25)
24)
26)