CHAPTER 5 EXPRESSIONS – Lesson 5-1: Algebraic Expressions The branch of mathematics that involve expressions with variables is called _____________. In algebra, the __________________________________ ___________ is often omitted. The numerical factor of a multiplication expression that contains a variable is called a coefficient. So, 6 is the of 6d. Example 1: Evaluate 2(n + Example 2: Evaluate 8w 2v if w = 5 and v = 3. Example 3: 3) if n = -4. Evaluate – 8w 2v = 8(5) 2(3) 4y3 + 2 if y = 3. 2(n + 3) = 2(-4 + 3) – – = 40 6 4y3 + 2 = 4(3)3 + 2 – = 2(-1) = 34 = 4(27) + 2 = -2 = 110 Got it? 1, 2, & 3 Evaluate each expression if c = 8 and d = -5. a. c 3 b. 15 c c. 3(c + d) – – d. 2c 4d e. d2 c2 f. 2d2 + 5d – – Example 4: Athletic trainers use the formula , where a is a person’s age, to find the minimum training heart rate. Find Latrina’s minimum training heart if she is 15 years old. = = = = 123 Latrina’s minimum training heart rate is 123 beats per minute. Got it? 4 To find the area of a triangle, use the formula , where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches? To translate a verbal phrase to an algebraic expression, the first step is to define a variable. When you define a variable, you choose a variable to represent the unknown. Example 5: Marisa wants to buy a DVD player that costs $150. She already saved $25 and plans to save an additional $10 each week. Write an expression that represents the total amount of money Marissa has saved after any number of weeks. 25 + 10w represents the total saved after any number of weeks.
CHAPTER 5 – EXPRESSIONS Lesson 5-1: Algebraic Expressions The branch of mathematics that involve expressions with variables is called _____________. In algebra, the __________________________________ ___________ is often omitted. The numerical factor of a multiplication expression that contains a variable is called a coefficient. So, 6 is the of 6d. Example 1: Evaluate 2(n + 3) if n = -4. 2(n + 3) = 2(-4 + 3) = 2(-1) = -2 Example 2: Evaluate 8w – 2v if w = 5 and v = 3. 8w – 2v = 8(5) – 2(3) = 40 – 6 = 34 Example 3: Evaluate 4y3 + 2 if y = 3. 4y3 + 2 = 4(3)3 + 2 = 4(27) + 2 = 110 Got it? 1, 2, & 3 Evaluate each expression if c = 8 and d = -5. a. c – 3 b. 15 – c c. 3(c + d) d. 2c – 4d e. d2 – c2 f. 2d2 + 5d Example 4: Athletic trainers use the formula , where a is a person’s age, to find the minimum training heart rate. Find Latrina’s minimum training heart if she is 15 years old. = = = = 123 Latrina’s minimum training heart rate is 123 beats per minute. Got it? 4 To find the area of a triangle, use the formula , where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches? To translate a verbal phrase to an algebraic expression, the first step is to define a variable. When you define a variable, you choose a variable to represent the unknown. Example 5: Marisa wants to buy a DVD player that costs $150. She already saved $25 and plans to save an additional $10 each week. Write an expression that represents the total amount of money Marissa has saved after any number of weeks. 25 + 10w represents the total saved after any number of weeks.
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