1. Algebra 1B Name: _________________________
Unit 1 Review – Date: __________________________
Directions: Complete this mixed practice packet to help you prepare for the Unit 1 Exam.
Skills
1) Determine whether a relation is a function.
2) State the domain and range of a relation.
3) Evaluate functions.
4) Graph a function using a table of values.*
5) Given two points, calculate slope of a line.*
6) Classify slope as positive, negative, zero, or undefined.
7) Isolate a variable.*
8) Graph a line.*
9) Identify the x- and y- intercept of a line.*
10) Complete application problems involving all skills marked with an *.
There is a complete answer key to this practice packet posted on our website under Unit 1.
Section 1 – Skills 1, 2, and 4. For each table of values, complete the following:
1) Plot the points (DO NOT CONNECT THE POINTS!)
2) State whether the graph is a function.
3) State the domain and range of the graph. x y -2 4 -1 1 2
Is the graph a function? _______
Domain: ____________________
Range: _____________________ x y 3 -3 -1 1 x y -2 -1 1 2
Is the graph a function? _____________
Domain: _________________________
Range: __________________________
Is the graph a function? _____________
Domain: _________________________
Range: __________________________

2. Section 2 – Skills 1, 2, and 4. Complete each problem.

3. Hmmm….they didn’t give us a graph this time. What could we do?
Section 2 Continued – Skills 1, 2, and 4. Complete each problem.
Hmmm….they didn’t give us a graph this time. What could we do?

4. If this function is graphed, will it be a line? _____
Section 3 – Skill 3. Evaluate each function at the given values.
f(x) = 3x + 9
f(-3) = _______
f(0) = _______
f(1) = _______
If this function is graphed, will it be a line? _____
g(x) = 3x2 – x + 4
g(1) = _______
g(-1) = _______
g(2) = _______
If this function is graphed, will it be a line? _____
Section 4 – Skills 5 and 6. Calculate the slope of the line for each example. Classify the slope as positive, negative, zero, or undefined. You must state the formula for each example. Leave all slopes as reduced fractions.
(4, 3) and (1, 2)
(-3, 1) and (-3, 5)
Slope: _______ Classify: _____________
Slope: _______ Classify: _____________
(1, 9) and (-3, 9)
(5, 1) and (1, 9)
Slope: _______ Classify: _____________
Slope: _______ Classify: _____________

5. y = ____________________ 4𝑥− 1 3 𝑦=10
Section 5 – Skill 7 - Given each equation, solve for the indicated variable.
5𝑥+10𝑦=20
Solve for y.
y = ____________________
4𝑥− 1 3 𝑦=10
Solve for y.
y = ___________________
1 2 𝑥−𝑦=5
Solve for y.
y = __________________
Section 6 – Skills 6, 8, and 9 - Graph each line and answers all additional questions.
y + 2x = 4
y = ½x - 4
y = ______________________
Y-Intercept: ______________
X-Intercept: ______________
Y-Intercept: ______________
X-Intercept: ______________
Slope: _____
Slope: _____
3𝑥−𝑦=5
y = ______________________
Slope: ___________________
Y-Intercept: ______________
X-Intercept: ______________

6. Section 6 Continued – Skills 6, 8, and 9 - Graph each line and answers all additional questions.
1 2 𝑦+2𝑥=3
3x + 3y = 9
y = ______________________
Slope: ___________________
Y-Intercept: ______________
X-Intercept: ______________
y = ______________________
Slope: ___________________
Y-Intercept: ______________
X-Intercept: ______________
x = 3
y = 4
Slope: ___________________
Y-Intercept: ______________
X-Intercept: ______________
Domain: __________________
Range: ___________________
Slope: ___________________
Y-Intercept: ______________
X-Intercept: ______________
Domain: __________________
Range: ___________________

7. Section 7 – Skill 10 – Complete each application problem.
1) Aaron works as a salesman at a car dealership. He is paid a base salary of $1, each month, and he receives a commission of $ for each vehicle he sells. If last month Aaron earned $4,803.86,
How many cars did he sell last month?
If Aaron sold NO cars last month, what would his pay be for that month?
2) The cost of a long distance phone call is modeled by the function, f(x) = 0.25x + 3 where f(x) is the cost in dollars and x is the length of the call in minutes.
Determine how long a phone call was if its cost was $10.25.
How much more money are you charged for each additional minute that you stay on the phone?
Does the answer to the previous question refer to the slope or the y-intercept? _______________
3) Adam has a savings account. His balance was $500 when he decided to start making weekly deposits (he deposits the same amount each week). The table below shows the value of his account (y) after each weekly deposit (x).
What is the rate of change of Adam’s account in dollars
per week?
How much money will Adam have at the 8th week?
Deposit (x)
Account Value (y)
$500 1
$740 2
$980 3
$1220 4
$1460
4) A rental car company charges a base fee of $53.22 plus $0.37 per mile driven. If x represents the number of miles driven, which of the following equations could be used to find y, the total cost of the bill?
y = 0.37x B) y = 53.22x C) y = 0.37x D) y = ( )x
What is the slope of the line? _____________________________________________________
What is the y-intercept of the line? ________________________________________________
How much will it cost if you rent a car and drive 200 miles? _______________________________

8. Section 7 Continued – Skill 10 – Complete each application problem.
5) You are parachuting. At time t = 0 seconds, you open your parachute at height h = 2500 feet above the ground. At time t = 35 seconds, you are at height h = 2115 feet.
What is the rate of change in feet per second?
How many seconds will it take until you reach the ground?
6) A pizza restaurant charges for pizzas and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) delivered to a home is described by the function c = 8p + 3. Which statement is true?
A. The cost of 8 pizzas is $11. B. The cost of 3 pizzas is $14.
C. Each pizza costs $8 and delivery is $3. D. Each pizza costs $3 and delivery is $8
7) The population of a small town in California was 4,500 people in The population has been increasing at a rate of about 300 people per year since then. A linear function can be created to model the situation,
P(t) = 300t
Explain what the slope of the equation means in the context of this problem in a complete sentence.
____________________________________________________________________________
Explain what the y-intercept of the equation means in the context of this problem in a complete sentence.
Now that you have completed the practice packet for the first time, please check the answer key that is posted on the website under Unit 1. Any problems that you were unable to complete independently or that you have wrong, need to be redone. Use notebook paper (and perseverance!) to redo problems for all skills until you can do them on your own.