Algebra 1 – Semester 1 Final Exam Review: Part 5
Name ___________________________________
Solve each of the following problems. Show All Work.
DO NOT LOSE. You will staple this review to all other reviews and submit on the day of the Unit 9 Assessment (Practice
Final Exam): Thursday, December 12, 2013.
Your Algebra 1 final exam is ______________________________________.
Chapter 5:
____ 1. Identify each graph as being a non-linear function, linear function, or not a function.
Graph A
Graph B
Graph C
y
y
3
5
2
4
1
3
y
3
2
1
2
–3
–2
–1
–1
1
3 x
2
–2
1
–2
–1
–3
a. Graph A: non-linear function
Graph B: not a function
Graph C: not a function
b. Graph A: not a function
Graph B: not a function
Graph C: linear function
____
–1
2
3
4 x
–3
c. Graph A: non-linear function
Graph B: linear function
Graph C: linear function
d. Graph A: non-linear function
Graph B: linear function
Graph C: not a function
2. Tell whether the set of ordered pairs
a. Yes; there is no constant change in x that
corresponds to a constant change in y.
b. Yes; there is a constant change in x that
corresponds to a constant change in y.
3. Use intercepts to graph the line described by the equation
satisfies a linear function. Explain.
c. No; there is a constant change in x that
corresponds to a constant change in y.
d. No; there is no constant change in x that
corresponds to a constant change in y.
.
Graph for # 3
4. Write the equation of the line with the slope
1
–2
x
1
–1
–1
1
3
and y-intercept –2, then graph.
Graph for # 4
5. Thomas is a car salesman. He is paid a salary of $1600 per month plus $300 for each car that he sells. His
salary can be modeled by the equation
where x is the number of cars sold. Graph this
equation and give its domain and range.
f( x)
a.
5000
Monthly Salary ($)
Monthly Salary ($)
f( x)
c.
5000
4000
3000
2000
1000
4000
3000
2000
1000
2
4
6
x
8
2
4
Number of Cars Sold
f( x)
b.
6
8
x
Number of Cars Sold
D: {0, 1, 2, 3, ...}
R: {$1600, $1900, $2200, $2500, ..}
D: {$300, $1900, $3500, $5100, ...}
R: {0, 1, 2, 3, ...}
f( x)
d.
5000
Monthly Salary ($)
5000
Monthly Salary ($)
____
4000
3000
2000
1000
4000
3000
2000
1000
2
4
6
x
8
2
4
Number of Cars Sold
D: {$1600, $1900, $2200, $2500,
...}
R: {0, 1, 2, 3,...}
6. Determine if graph shows a
linear relationship. Find the
slope and write the equation.
6
8
x
Number of Cars Sold
D: {0, 1, 2, 3, ...}
R: {$300, $1900, $3500, 5100, ...}
7. Tell whether the slope is
positive, negative, zero, or
undefined. Write the equation.
8. Find the slope of the line and
write the equation.
y
10
y
y
8
10
5
6
8
4
(–4, 3)4
6
3
4
2
1
–10 –8
–6
–4
–2
–2
(1,
2 –1)
4
6
8
10
–4
–1
–1
–6
–2
–8
–10
(7, –8)
–10 –8
x
–5
–4
–3
–2
1
2
3
4
5
x
–6
–4
–2
–2
–4
–6
–3
–8
–4
–10
–5
(6, 3)
2
2
2
4
6
8
10
x
9. Find the slope of the line and write the equation.
y
8
6
4
2
–8
–6
–4
–2
2
4
6
8
x
(5, –3)
–2
–4
–6
(2, –5)
–8
10.
Find the x- and y-intercepts and write the equation of the line.
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
11. Write the equation that describes the line in slope intercept form.
Point (3, -5) is on the line and the slope = 2.
12. Write the equation that describes the line in slope intercept form.
Points  3, 3 and  3,1 are on the line.