1. Algebra 2 2.2
Pinkston

2. SAT Question If
, what is the value of k?
A. 1
B. 2
C. 3
D. 4
E. 8

3. Review of words to translate English into algebra:
Addition: sum, total, increased by, more than, plus, longer than
Subtraction: difference, decreased by, less than, subtracted from, minus; fewer than, less (Those in italics and blue switch the order from English to algebra).
Multiplication: product, times, twice, of, double, triple
Division: quotient, over, divided by, ratio
Equality: is, the result is, equals, is the same as

4. Don’t confuse less than (subtraction) with is less than (<)
Translate:
1. The ratio of a number and 4.
2. Two-thirds of a number.
3. The difference between 5 and a number.
4. The sum of a number and 3.

5. 5. Ten fewer than a number.
6. The product of a number and 3.
7. A number decreased by 15.
8. Three times the sum of a number and 6.
9. The sum of the quantity three times a number and 6.
The average of x and y.
11. Thirty percent of a number.

6. Solving Word Problems Heading Equation Solve Solution
1. _________________________________
2. _________________________________
3. _________________________________
4. _________________________________
Heading
Equation
Solve
Solution

7. Example 1: A 28-ft rope is cut into two pieces
Example 1: A 28-ft rope is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
Heading:
Equation:
(Solve)
Solution:

8. Example 2: A 23-ft cable is cut into two pieces, one three times as long as the other. How long are the pieces?
Heading:
Equation:
(Solve)
Solution:

9. Example 3: Five plus twice a number is seven times the number
Example 3: Five plus twice a number is seven times the number. What is the number?
Heading:
Equation:
(Solve)
Solution:

10. Example 4: If seven times a certain number is subtracted from 6, the result is five times the number. What is the number?
Heading:
Equation:
(Solve)
Solution:

11. Example 5: Chris bought a baseball card in 1975
Example 5: Chris bought a baseball card in By 1985, the value of the card had tripled. Since 1985, the value has increased by another $30. The card is now worth 5 times its original value. How much was the card worth when Chris bought it?
Heading:
Equation:
(Solve)
Solution:

12. Example 6: A clothing store drops the price of a suit 25% to a sale price of $93. What was the original price of the suit?
Heading:
Equation:
(Solve)
Solution:

13. Example 7: An investment is made at 12% simple interest
Example 7: An investment is made at 12% simple interest. It grows to $812 at the end of one year. How much was invested originally? Formula for final amount of money (called “future value”): A = P + Prt
P is Principal; r is rate (%); t is time in years.
Heading:
Equation:
(Solve)
Solution:

14. Example 8: The sum of two consecutive even integers is 50
Example 8: The sum of two consecutive even integers is 50. What are the integers?
Heading:
Equation:
(Solve)
Solution:

15. Example 9: Find four consecutive integers such that the sum of the second and fourth is 132.
Heading:
Equation:
(Solve)
Solution:

16. Example 10: The second angle of a triangle is four times the first and the third is 5° more than twice the first. Find the measures of the angles.
The three angles of a triangle add up to 180°.
Heading:
Equation:
(Solve)
Solution:

17. Classwork
(if time permits):
17 – 19, 21/70

18. Get ready for a “Small Quiz” to be written on your grade sheet.

19. Quiz. Copy the problems and write the answer.
Solve:
Put your grade paper on the front of your row, quiz side down.

20. THE END