Evaluate. 1. x + 8, if x = ÷ y, if y = 2 3.3z, if z = – 3m, if m = 3 Warm-Up! Do Now! ANS : 13 ANS : 12 ANS : 9 :00 Time’s Up! :10:20:30:40:501:001:101:201:301:401:502:002:102:202:302:402:503:003:103:203:303:403:504:004:104:204:304:404:505:00 Click Me! Warm-Ups Rock!
1-1 Variables and Expressions
Translate these expressions Translate brb TTyl lol rotfl omg idk omw bff jk
*Writing algebraic expressions* Add + Subtract – Multiply x Divide Sum Plus Added to More than Increased by Total Difference Minus Subtracted from Less Less than Decreased by Product of Times Multiplied by Twice Of Quotient Divided by *Key Words!* Write
*Vocabulary Check* 1.Variable — is a letter or symbol used to represent a value that can change. 2.Algebraic Expressions — contain variables, numbers, and one or more operations, but NO equal signs. 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: xy n Example: 5x 3x –7 x + 7 Write Example: 5x 0.1d 7
Vocabulary Continued 5. Factors- Are the quantities being multiplied together.
*Understanding powers!* 8585 BASE Exponent Write You say it like, “8 to the 5 th power!”
*evaluating exponents* *Key Words!* Write Exponents to the first power to the second power or 3 squared3 ∙ to the third power or 3 cubed3 ∙ 3 ∙ to the fourth power3 ∙ 3 ∙ 3 ∙ 3 2x62x6 2 times x to the sixth power2 ∙ x ∙ x ∙ x ∙ x ∙ x ∙ x
*Writing algebraic expressions* Translate into an algebraic expression. Write Eight increased by a number Step 1: Underline “Key Words” Step 2: Determine which operation you’ll use (+, -, x, ) Step 3: Replace with numbers and/or variables! Step 4: Check your work! Does it sound like it makes sense? +8 n Example #1
*Writing algebraic expressions* Translate into an algebraic expression. Seven times x squared ∙ 7 x2x2 Step 1: Underline “Key Words” Step 2: Determine operation you’ll use (+, -, x, ) Step 3: Replace with numbers and/or variables! Step 4: Check your work! Does it sound like it makes sense? Write Example #1
*Writing algebraic expressions* Translate into an algebraic expression. The sum of c squared and 21 times d c2c2 + 21d c2c2 + Step 1: Underline “Key Words” Step 2: Determine operation you’ll use (+, -, x, ) Step 3: Replace with numbers and/or variables! Step 4: Check your work! Does it sound like it makes sense? Write Example #2
*important Note* 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 n Reverse it! +8 n Write Example #3
7 less than a number *writing algebraic expressions* – Hmm… a tough one! Write Example #4 7 n n–7
*writing algebraic expressions* Three-fourths of the perimeter p ∙ Write Example #5 ¾ p
*translate to a algebraic expression!* Do It! 5 times a number
*translate to a algebraic expression!* Do It! x to the 18 th power
Translate into an algebraic expression. 1. The difference between 24 and x. 2. Three fourths of a number. 3. The quotient of 9 and a number. Lets Practice Do Now! ANS : 24 – x ANS : ¾ x ANS : 9x9x Math Rock!
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. JimJulie Jim is correct, Julie left out the parentheses around the n^2 +3
Homework Time *Classwork * *Time!* HW: page 7 #11-27 odd, ALL Write Homework! Get Ready!