Name:_______________________
College Algebra
Unit 1 – Standard 1
Day
1
2
3
4
Learning Target




Solve linear equations in one
variable.
Application of linear equations in
one variable and solve for a single
variable in a formula.
Application of linear equations in
one variable and solve for a single
variable in a formula.
Solve linear inequalities in one
variable (both simple and
compound).
Assignment
Worksheet #1
Worksheet #2
Worksheet #3
Worksheet #4
Review
5
Worksheet #5
Review
6
Worksheet #6
Unit 1 – Standard 1 Test
7
This is an outline. The assignments/quizzes/tests are subject to change
College Algebra
Unit 1 – Standard 1
Linear Equations Notes Day 1
Name_____________________
SOLVING MULTI-STEP, RATIONAL,
VARIABLES ON BOTH SIDES EQUATIONS
Learning Targets: Students will be able to solve multi-step equations.
EXAMPLES – Solve, then check.
1.
3
k  19  91
5
2.
5  x  12
In these problems, we will “clean up” each side first by combining like terms or using the distributive
property before solving.
EXAMPLES – Solve, then check.
3.
13  5  3b 13
4.
9t  6  6t  6
5.
5  2 x  3  15
6.
2

  x  1  13
3

To solve equations with multiple rational numbers, multiply EVERY term by the ____________________.
EXAMPLES – Solve, then check.
7.
3x 
1 5

7 7
8.
p 2p 1


6 3 6
9.
6
2
1


2 p  5 p 1 2 p  5
If we have variables on both sides of equation, we must first move the variables to one side of the
equation!
o
If our variables cancel when we do this and leave us with a true statement,
then we write _______________________.
o
If our variables cancel when we do this and leave us with a false statement,
then we write _______________________.
EXAMPLES – Solve, then check.
10.
6k  3  2k  13
11.
2x  5  2x  3
Notice the parenthesis in these problems… Remember to use the distributive property first! Then, “clean
up” each side individually. Finally, move the variables to one side and solve. Watch your signs!
12.
8  2  t  1  3t  1
ASSIGNMENT #1: Worksheet #1
13.
5  2  k  4  5  k  3  10
College Algebra
Unit 1 – Standard 1
Application of Linear Equations Notes Day 2
Name_____________________
Learning Targets: Students will be able to solve applications of linear equations.
Solve for the indicated variable.
a) d  rt
solve for t
b) A 
1
h  B  b
2
solve for h
d = rt PROBLEMS:
1. In the morning, Margo drove to a business appointment at 50 mph. Her average speed on her return trip
in the afternoon was 40 mph. The return trip took ¼ hour longer because of heavy traffic. How far did she
travel to her appointment?
2. Suppose that Dan and Ann live 450 km apart and at the same time they begin driving toward each other
with Dan traveling an average rate of 50 km/h and with Ann’s average rate of 55 km/h per hour. How long
will it be before they meet?
WORK PROBLEMS:
3. One computer can do a job twice as fast as another. Working together, both computers can do the job in
2 hours. How long would it take each computer, working alone, do the job?
4. If it takes 8 hours for Jill to mow the grass with her push mower, and it takes Martin 5 hours to mow the
grass with his riding mower, how long will it take them to mow the grass if both Jill and Martin work
together?
ASSIGNMENT #2: Worksheet #2
College Algebra
Unit 1 – Standard 1
Application of Linear Equations Notes Day 3
Name_____________________
Learning Targets: Students will be able to solve applications of linear equations.
Solve for the indicated variable.
a) I  prt
solve for r
1
b) A  bh
2
solve for b
MIXTURE PROBLEMS
1.
How much pure acid must be added to 10 liters of a 10% solution to obtain a solution that is
50% acid?
2.
Suppose that we want to mix peanuts worth $2.10 per pound with cashews worth $2.40 per pound to
obtain 12 pounds of a mixture worth $2.30 per pound. How many pounds of each type should we
use?
INTEREST PROBLEMS
3.
In planning her retirement, Shirley Cicero deposits some money at 4.5% interest with twice
as much deposited at 5%. Find the amount deposited at each rate if the total annual interest
income is $2900.
4.
Part of $14,000 is to be invested at 9% and the remainder at 12%. How much should be invested at
each rate in order to yield an annual interest income of $1500?
ASSIGNMENT #3: Worksheet #3
College Algebra
Unit 1 – Standard 1
Solving Linear Inequalities Notes Day 4
Name_____________________
Learning Targets: Students will be able to solve linear inequalities in one variable.
What is interval notation?
What happens if you multiply or divide an inequality by a negative number?
Express answer using interval notation & graph solutions
1. x  1
2. x  5
3. 1  x  5
5.
4  3y  7  2 y
6. 2  5  3x  20
7.
3  3  2x  9
8.
ASSIGNMENT #4: Worksheet #4
4. x  2 or x  6
2a  3  21  6  3a  21