Name:______
College Algebra
Unit 1 – Standard 1
Day / Learning Target / Assignment1 /
- Solve linear equations in one variable.
2 /
- Application of linear equations in one variable and solve for a single variable in a formula.
3 /
- Application of linear equations in one variable and solve for a single variable in a formula.
4 /
- Solve linear inequalities in one variable (both simple and compound).
5 / Review / Worksheet #5
6 / Review / Worksheet #6
7 / Unit 1 – Standard 1 Test
This is an outline. The assignments/quizzes/tests are subject to change
College AlgebraName______
Unit 1 – Standard 1
Linear Equations Notes Day 1
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. 2.
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. 4.
5. 6.
To solve equations with multiple rational numbers, multiply EVERY term by the ______.
EXAMPLES – Solve, then check.
7. 8. 9.
If we have variables on both sides of equation, we must first move the variables to one side of the equation!
- If our variables cancel when we do this and leave us with a true statement,
then we write ______.
- If our variables cancel when we do this and leave us with a false statement,
then we write ______.
EXAMPLES – Solve, then check.
10. 11.
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. 13.
ASSIGNMENT #1: Worksheet #1
College AlgebraName______
Unit 1 – Standard 1
Application of Linear Equations Notes Day 2
Learning Targets: Students will be able to solve applications of linear equations.
Solve for the indicated variable.
a) solve for tb) 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 50km/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 AlgebraName______
Unit 1 – Standard 1
Application of Linear Equations Notes Day 3
Learning Targets: Students will be able to solve applications of linear equations.
Solve for the indicated variable.
a) solve for rb) 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 AlgebraName______
Unit 1 – Standard 1
Solving Linear Inequalities Notes Day 4
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. 2. 3. 4.
5. 6.
7. 8.