Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Do Now 1. Write down any math properties you know and give an example. (ex. Commutative) 2. Write down any similarities or differences between expressions and equations Objective The student will be able to: • Identify parts of an algebraic expression A term is a 1) number, 2) variable, or 3) a product / quotient of numbers and variables. Example 5 m 2x2 A term is a *** Terms are separated by either an addition sign (+) or subtraction sign (-). 4x + 5y (2 terms) 3r * 5p (1 term) The coefficient is the numerical part of the term. Examples 1) 4a 4 2) y2 1 2 5x 3) 7 5 7 A variable is alphabetic character representing a number . Examples 1) 4a a 2) y2 y 2 5x 3) 7 x A constant is a fixed value. Examples 1) 3x – 5y + 12 12 2) 12p – 4 + 13w + 9 4 and 9 Identify the number of terms, coefficients, variables, and constants 1. 4w + 3f – 9p + 2c2 – 10 2. 7h + 9k * 3d – 11m 3. 12 - 14d ÷ 7j – 2z 4. 5a3 + 129 End of day 1 Objective The student will be able to: • Review parts of an algebraic expression • Understand and use the distributive property The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac and (b + c) a = ba + ca a(b - c) = ab - ac and (b - c) a = ba - ca Example #1 5(x + 7) 5•x+5•7 5x + 35 Example #2 3(m - 4) 3•m-3•4 3m - 12 Example #3 2(y + 3) 2•y+2•3 2y + 6 Which statement demonstrates the distributive property incorrectly? 1. 2. 3. 4. 3(x + y + z) = 3x + 3y + 3z (a + b) c = ac + bc 5(2 + 3x) = 10 + 3x 6(3k - 4) = 18k - 24 Answer Now Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms. Are these like terms? 1) 13k, 22k Yes, the variables are the same. 2) 5ab, 4ba Yes, the order of the variables doesn’t matter. 3) x3y, xy3 No, the exponents are on different variables. Which of the following is the simplified form of 7x – 4x ? 1. 2. 3. 4. -4 3x -3x 4 Answer Now 2 2 8x 2x 5a a 2 8x and 2x 5a and a 2 are like terms are like terms The above expression simplifies to: 2 10x 6a Simplify 1) 5a + 7a 12a 2) 6.1y - 3.2y 2.9y 3) 4x2y + x2y 5x2y 4) 3m2n + 10mn2 + 7m2n - 4mn2 10m2n + 6mn2 5) 13a + 8a + 6b 21a + 6b 6) 4d + 6a2 - d + 12a2 18a2 + 3d 3y y 7) 4 4 y 3y 1y 4y 1y 4 4 4 Which of the following is the simplified form of 5x + 4 + 7x + 14 ? 1. 2. 3. 4. -12x + 14 12x + 14 2x - 18 12x – 18 Answer Now If a triangle has sides 3x - 2, 5 - x and 2x - 5, what is the perimeter of the triangle? 1. 2. 3. 4. 4x - 2 4x + 2 5x - 2 5x - 7 Answer Now Which figure below models the simplification of - 4x - 5 + 7x + 7 using these tiles? 1. 2. 3. 4. Answer Now Bonus! Which of the following is the simplified form of a + 3a + 4(9 + a) ? 1. 2. 3. 4. -36 3a - 36 8a - 36 8a + 36 Answer Now