A is an algebraic expressions that are linear and some expression in which the variables is raised examples of expressions that are not linear. to the _____ power. The table below gives some examples of Example 1: Add. (2x + 3) + (x + 4) = 3x + 7 Example 2: Add. (2x 1) + (x 5). – – + = 3x - 6 Got it? 1 & 2 a. (3x 5) + (2x 3) b. (2x 4) + (3x 7) – – – – Example 3: pairs are two objects that together Find (2x 3) + (-x + 4). Use models. Zero – equal zero. Example 4: Example 5: Find 2(x + 3) + (3x + 1) Find 5(x 4) + (2x 7). – – 5(x - 4) + 2x - 7 = 5 x + 5 (-4) + 2x - 7 2(x + 3) + 3x + 1 = 2 x + 2 3 + 3x + 1 = 2x + 6 + 3x + 1 = 5x + -20 + 2x - 7 = 5x + 7 = 7x 27 – Got it? 3-5 Add. Use models if needed. a. (x 1) + (2x + 3) b. (x 4) + (-2x + 1) – – c. 6(x + 7) + (x + 3) d. (12x + 19) + 2(x 10) – Example 6 Write a linear expression in simplest form to represent the perimeter of the triangle. Find the perimeter if the value of x is 5 centimeters. the linear expression for the perimeter. (3x 3) + (2x + 9) + 5x – Combine like terms. (3x + 2x + 5x) + (-3 + 9) 10x + 6 Find the perimeter. 10(5) + 6 = 56 centimeters
A is an algebraic expression in which the variables is raised to the _____ power. The table below gives some examples of expressions that are linear and some examples of expressions that are not linear. Example 1: Add. (2x + 3) + (x + 4) = 3x + 7 Example 2: Add. (2x – 1) + (x – 5). + = 3x - 6 Got it? 1 & 2 a. (3x – 5) + (2x – 3) b. (2x – 4) + (3x – 7) Example 3: Find (2x – 3) + (-x + 4). Use models. Zero pairs are two objects that together equal zero. Example 4: Find 2(x + 3) + (3x + 1) 2(x + 3) + 3x + 1 = 2 x + 2 3 + 3x + 1 = 2x + 6 + 3x + 1 = 5x + 7 Example 5: Find 5(x – 4) + (2x – 7). 5(x - 4) + 2x - 7 = 5 x + 5 (-4) + 2x - 7 = 5x + -20 + 2x - 7 = 7x – 27 Got it? 3-5 Add. Use models if needed. a. (x – 1) + (2x + 3) b. (x – 4) + (-2x + 1) c. 6(x + 7) + (x + 3) d. (12x + 19) + 2(x – 10) Example 6 Write a linear expression in simplest form to represent the perimeter of the triangle. Find the perimeter if the value of x is 5 centimeters. the linear expression for the perimeter. (3x – 3) + (2x + 9) + 5x Combine like terms. (3x + 2x + 5x) + (-3 + 9) 10x + 6 Find the perimeter. 10(5) + 6 = 56 centimeters
chapter-5-expressions-student-notes.docx