5 Minute Check Complete in your notes. 1. 9 + 12 - 15 2. (9 + 2) · 6 - 5 3. 26 + 6² ÷ 4 4. 22 ÷ 2 · 3²

5 Minute Check Complete in your notes. 1. 9 + 12 - 15 2. (9 + 2) · 6 - 5 3. 26 + 6² ÷ 4 4. 22 ÷ 2 · 3²

5 Minute Check Complete in your notes. 1. 9 + 12 - 15

5 Minute Check Complete in your notes. 1. 9 + 12 – 15 21 – 15 6

5 Minute Check Complete in your notes. 2. (9 + 2) · 6 - 5

5 Minute Check Complete in your notes. 2. (9 + 2) · 6 – 5 11 · 6 - 5 66 - 5 61

5 Minute Check Complete in your notes. 3. 26 + 6² ÷ 4

5 Minute Check Complete in your notes. 3. 26 + 6² ÷ 4 26 + 36 ÷ 4 26 + 9 35

5 Minute Check Complete in your notes. 4. 22 ÷ 2 · 3²

5 Minute Check Complete in your notes. 4. 22 ÷ 2 · 3² 22 ÷ 2 · 9 11 · 9 99

OST Test Prep Kim needs to place 32 mystery books and 56 biography books on library shelves. She has to place the maximum number of books on each shelf so that all shelves have the same number of books. Each shelf will only contain one type of book. 1. Determine the number of books to be placed on each shelf. 2. How many shelves will Kim use for each type of book?

OST Test Prep Kim needs to place 32 mystery books and 56 biography books on library shelves. She has to place the maximum number of books on each shelf so that all shelves have the same number of books. Each shelf will only contain one type of book. 1. Determine the number of books to be placed on each shelf.

OST Test Prep Kim needs to place 32 mystery books and 56 biography books on library shelves. She has to place the maximum number of books on each shelf so that all shelves have the same number of books. Each shelf will only contain one type of book. 1. Determine the number of books to be placed on each shelf. 32: 1, 2, 4, 8, 16, 32 56: 1, 2, 4, 7, 8, 14, 28, 56 8 books on each shelf

OST Test Prep Kim needs to place 32 mystery books and 56 biography books on library shelves. She has to place the maximum number of books on each shelf so that all shelves have the same number of books. Each shelf will only contain one type of book. 2. How many shelves will Kim use for each type of book?

OST Test Prep Kim needs to place 32 mystery books and 56 biography books on library shelves. She has to place the maximum number of books on each shelf so that all shelves have the same number of books. Each shelf will only contain one type of book. 2. How many shelves will Kim use for each type of book? 8 books on each shelf 32 ÷ 8 = 4 shelves for mystery books 56 ÷ 8 = 7 shelves for biographies

How High is the Lamppost?

How High is the Lamppost? Questions to be answered: What do we know? What is a prediction that is too low? What is a prediction that is too high? Can we make an accurate prediction or is there additional information that is needed to make a prediction?

How High is the Lamppost? Questions to be answered: What do we know? What is a prediction that is too low? What is a prediction that is too high? Can we make an accurate prediction or is there additional information that is needed to make a prediction?

How High is the Lamppost?

Flashcards

Flashcards

Lesson 6.3 Algebra: Variables and Expressions Thursday, Jan 5 Lesson 6.3 Algebra: Variables and Expressions

Algebra: Variables and Expressions Objective: To find the value of expressions using the order of operations.

Algebra: Variables and Expressions Algebra is a language of symbols including variables.

Algebra: Variables and Expressions Algebra is a language of symbols including variables. A variable is a symbol, usually a letter, used to represent a number.

Algebra: Variables and Expressions What is an algebraic expressions?

Algebra: Variables and Expressions Algebraic expressions contain at least one variable and at least one operation.

Algebra: Variables and Expressions There many ways to show multiplication with a variable.

Algebra: Variables and Expressions

Algebra: Variables and Expressions The variables in an expression can be replaced with a number. Once the variables have been replaced, you can evaluate, or find the value of the expression. e.g. What is x + 5, if x = 7?

Algebra: Variables and Expressions Reminder The variables in an expression can be replaced with a number. Once the variables have been replaced, you can evaluate, or find the value of the expression.

Algebra: Variables and Expressions Evaluate 16 + b, if b = 25 How to Solve an Algebraic Expression. Step 1 – Rewrite the expression without the variables.

Algebra: Variables and Expressions Evaluate 16 + b, if b = 25 16 + 25 How to Solve an Algebraic Expression. Step 1 – Rewrite the expression without the variables.

Algebra: Variables and Expressions Evaluate 16 + b, if b = 25 16 + 25 How to Solve an Algebraic Expression. Step 2 – Use the order of operations to evaluate the expression.

Algebra: Variables and Expressions Evaluate 16 + b, if b = 25 16 + 25 41 How to Solve an Algebraic Expression. Step 2 – Use the order of operations to evaluate the expression.

Algebra: Variables and Expressions Evaluate x - y, if x = 64 and y = 27 Step 1 ?

Algebra: Variables and Expressions Evaluate x - y, if x = 64 and y = 27 64 – 27 Step 2 ? Step 1 is just to substitute the numbers for variables. Perform no operations.

Algebra: Variables and Expressions Evaluate x - y, if x = 64 and y = 27 64 – 27 37

Algebra: Variables and Expressions Evaluate x · y + 4, if x = 6 and y = 7 Do this on your own.

Algebra: Variables and Expressions Evaluate x · y + 4, if x = 6 and y = 7 6 · 7 + 4 Step 1 42 + 4 Step 2 46 Step 2

Algebra: Variables and Expressions Evaluate 6x , if x = 1 2 Do this on your own. Remember, if there is no operation written it is assumed to be multiplication.

Algebra: Variables and Expressions Evaluate 6x , if x = 1 2 6 · 1 2 6 2 3 Reminder – the “dot” must be used to represent multiplication when multiplying two numbers.

Algebra: Variables and Expressions Evaluate 6t + 4, if t = 3 Do this on your own.

Algebra: Variables and Expressions Evaluate 6t + 4, if t = 3 6 · 3 + 4 Step 1 18 + 4 Step 2 22 Step 2

Algebra: Variables and Expressions Evaluate 6t + 4, if t = 3 6 · 3 + 4 Rewritten expression 18 + 4 1st Step of work 22 2nd Step of work On today’s assignment, you will rewrite the expression with numbers. Then go through the steps as yesterday.

Algebra: Variables and Expressions Evaluate 6t + 4, if t = 3 6 · 3 + 4 Rewritten expression 18 + 4 1st Step of work 22 2nd Step of work The number of steps for today’s assignment will be the number of operations plus one.

Algebra: Variables and Expressions Evaluate 6c², if c = 3 Do this on your own.

Algebra: Variables and Expressions Evaluate 6c², if c = 3 6 · 3² 6 · 9 54

Algebra: Variables and Expressions Evaluate 4x², if x= 1 8 Do this on your own.

Algebra: Variables and Expressions Evaluate 4x², if x= 1 8 4 · ( 1 8 )² 4 1 · 1 64 4 64 1 16 This has an extra step due to simplifying the fraction.

Algebra: Variables and Expressions Evaluate 6g - 5, if g = 2 Do this on your own.

Algebra: Variables and Expressions Evaluate 6g - 5, if g = 2 62 - 2 60

Algebra: Variables and Expressions Evaluate 6g - 5, if g = 2 6 ∙2 - 2 12 – 2 10

Algebra: Variables and Expressions Evaluate 4z + 8 – 6, if x = 3, y = 12 and z = 8. Do this on your own.

Algebra: Variables and Expressions Evaluate 4z + 8 – 6, if x = 3, y = 12 and z = 8. 4 · 8 + 8 – 6 32 + 8 – 6 40 – 6 34

Algebra: Variables and Expressions Evaluate 7z ÷ 4 + 5x, if x = 3, y = 12 and z = 8. Do this on your own.

Algebra: Variables and Expressions Evaluate 7z ÷ 4 + 5x, if x = 3, y = 12 and z = 8. 7 · 8 ÷ 4 + 5 · 3 56 ÷ 4 + 5 · 3 14 + 5 · 3 14 + 15 29

Algebra: Variables and Expressions The volume of a cube can be represented by s³, where s is the length of a side. If the length of a side of a cube is 1 2 feet, what is the volume? Do this on your own.

Algebra: Variables and Expressions The volume of a cube can be represented by s³, where s is the length of a side. If the length of a side of a cube is 1 2 feet, what is the volume? ( 1 2 ft)³ 1 2 ft · 1 2 ft · 1 2 ft = 1 8 ft³

Algebra: Variables and Expressions The amount of money that remains from a 20 dollar bill after Malina buys 4 party favors for p dollars each is 20 – 4p. Find the amount remaining if each favor is $3 each. Do this on your own. Remember : p is the amount each party favor costs.

Algebra: Variables and Expressions The amount of money that remains from a 20 dollar bill after Malina buys 4 party favors for p dollars each is 20 – 4p. Find the amount remaining if each favor is $3 each. $20 – 4p, if p = $3 $20 – 4 · $3 $20 - $12 $8

Algebra: Variables and Expressions Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each time. If they press the keys at the same time, will their displays ever show the same number? If so, what number?

Algebra: Variables and Expressions Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each time. If they press the keys at the same time, will their displays ever show the same number? If so, what number? Yes, 30

Algebra: Variables and Expressions Agenda Notes Skills Practice 6.3 Show all work and circle all answers. Due Friday, Jan 6 Mid-Chapter 6 Quiz Tuesday, Jan 10