1. CAHSEE PREP.
Week 4
Algebra and Functions
Valley OFL Prep Sessions

2. Order of Operations: Parentheses or other grouping symbols
Exponents and roots
Multiplication and division from Left to Right
Addition and Subtraction from Left to Right

3. Practice
When a = 3 and b = -4, what is the value of the expression?

4. Practice
Write an expression for the following problem. The OFL Mathletes are planning to order customized pencils and erasers. The pencils will cost $1 each and the erasers $1.50 each. There is a setup charge of $10. What will be the cost to order 100 pencils and erasers?

5. Practice
For a certain rectangle the length is twice the width. What is the perimeter of the rectangle?

6. Practice
Solve:
When the sum of twice a number and 3 is multiplied by 4, the result is the same as 8 less than the product of 3 and the number. What is the number?

7. Practice
Sally is making punch. She is using 6 cups less of orange juice as cranberry juice. If she makes 18 cups of juice, how much of each juice does she need?

8. Systems of Equations Solve this system:
Carlos bought 2 pencils and 6 pens for $ Lisa bought 3 pencils and 3 pens for $ Let x = cost of one pencil and y = cost of one pen. What is the cost of one pencil? What is the cost of one pen?

9. Practice
The sum of two numbers is 88. The second number is four times the first added to 5. Write the two equations. Solve.

10. Polynomials:
Adding and Subtracting: add or subtract terms that are exactly the same.
Multiplying and Dividing: multiply or divide coefficients; add or subtract the powers of like terms.

11. Graphing
Slope =
x-intercept = value where the equation crosses the x-axis. Let y = 0
y-intercept = value where the equation crosses the y-axis. Let x = 0

12. Slope Negative Slope: Positive Slope:
Parallel Slope: Slope is the same as the original line
Perpendicular Slope: slope is the negative reciprocal of the original line

13. Is (-3, 4) a solution to the equation
2x + 3y = 6?
Is (10, -2) a solution to the equation
½ x + 4y = -10

14. Graph:
2x + 6y = 4
Find the slope of the line parallel to the above line.

15. Slope What is the slope of the line drawn through (3, 0) and (-1, -4)?
Find the Slope of the line perpendicular to the above slope.