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Warm-Up! Click :00 1:00 2:00 1:50 1:40 1:30 1:20 3:00 2:50 2:40 2:30 2:20 4:00 3:50 3:40 3:30 3:20 5:00 4:50 4:40 4:30 4:20 1:10 2:10 3:10 4:10 :50 :40 :30 :20 :10Up! Time’s Me! 1. x + 8, if x = 5 ANS: 13 2.24 ÷ y, if y = 2 ANS: 12 Do Now! Evaluate. Warm-Ups Rock! 3.3z, if z = 3 ANS: 9 4.18 – 3m, if m = 3 ANS: 9 1-1 Variables and Expressions Translate these expressions idk omw bff jk Translate brb TTyl lol rotfl omg Add + Sum Plus Added to More than Increased by Total Subtract – Difference Minus Subtracted from Less Less than Decreased by Multiply x Divide Product of Quotient Times Divided by Multiplied by Twice Of *Key Words!* Write *Writing algebraic expressions* *Vocabulary Check* 1. Variable — is a letter or symbol used to represent a value that can change. Example: x y n 2. Algebraic Expressions — contain variables, numbers, and one or more operations, but NO equal signs. 3x –7 x+7 3. Evaluate — to evaluate an expression means to find its value. 4. Term – May be a number, a varible, or a product or quotient of numbers and variables. Example: 5x 0.1d 7 Write Example: 5x Vocabulary Continued • 5. Factors- Are the quantities being multiplied together. *Understanding powers!* Write Exponent 5 8 BASE You say it like, “8 to the 5th power!” Exponents 31 3 to the first power 32 3 to the second power or 3 squared 3 ∙ 3 33 3 to the third power or 3 cubed 3∙3∙3 34 3 to the fourth power 3∙3∙3∙3 2x6 2 times x to the sixth power 2∙x∙x∙x∙x∙x∙x 3 *Key Words!* Write *evaluating exponents* Translate into an algebraic expression. Eight increased by a number 8 Step 1: Step 2: Step 3: Step 4: + n Underline “Key Words” Determine which operation you’ll use (+, -, x, ) Replace with numbers and/or variables! Check your work! Does it sound like it makes sense? Example #1 Write *Writing algebraic expressions* *Writing algebraic expressions* Write Translate into an algebraic expression. Seven times x squared 7 Step 1: Step 2: Step 3: Step 4: ∙ x2 Underline “Key Words” Determine operation you’ll use (+, -, x, ) Replace with numbers and/or variables! Check your work! Does it sound like it makes sense? Example #1 Translate into an algebraic expression. The sum of c squared and 21 times d 21d + c2 c2 + 21d Step 1: Step 2: Step 3: Step 4: Underline “Key Words” Determine operation you’ll use (+, -, x, ) Replace with numbers and/or variables! Check your work! Does it sound like it makes sense? Example #2 Write *Writing algebraic expressions* For key words like more than, less than, and subtracted from, the numbers and variables should be reversed to make sense. Eight more than a number 8 8 Example #3 n + + n Reverse it! Write *important Note* 7 less than a number 7– n n – 7 Hmm… a tough one! Example #4 Write *writing algebraic expressions* Three-fourths of the perimeter p ¾ ∙ 3 p 4 Example #5 p Write *writing algebraic expressions* *translate to a algebraic expression!* Do It! 5 times a number *translate to a algebraic expression!* Do It! th x to the 18 power Lets Practice Translate into an algebraic expression. 2. Three fourths of a number. ANS: ¾ x 3. The quotient of 9 and a number. 9 ANS: x Math Rock! Do Now! 1. The difference between 24 and x. ANS: 24 – x Think –Pair -Share • Explain the difference between an algebraic expression and a verbal expression. Algebraic expressions include variables, numbers, and symbols. Verbal expressions contain words H.O.T. Problem • Define a variable to represent a real-life quantity, such as time in minutes or distance in feet. Then use the variable to write an algebraic expression to represent one of your daily activities. Describe in words what your expression represents, and explain your reasoning. You can do it! • Jim and Julie are writing algebraic expression for three times the sum of n squared and three. Is either of them correct. Explain your reasoning. Jim 3(n2 3) Julie 3n 2 3 Jim is correct, Julie left out the parentheses around the n^2 +3 *Classwork* *Time!* Get Ready! HW: page 7 #11-27 odd, 34-36 ALL Write Homework! Homework Time