Algebra 2 2.2 Pinkston

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

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

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. 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.

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

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:

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:

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:

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:

Example 5: Chris bought a baseball card in 1975 Example 5: Chris bought a baseball card in 1975. 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:

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:

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:

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:

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

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:

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

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

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

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