5 Minute Check Solve and show work. Complete in your notes. 1. a – 2.1= 5.6 2 4.52 = e + 3.1 3. m + 1 3 = 1 2 4. k – 1 5 = 5

5 Minute Check Solve and show work. Complete in your notes. 1. a – 2.1= 5.6 2 4.52 = e + 3.1 3. m + 1 3 = 1 2 4. k – 1 5 = 5

5 Minute Check Solve and show work. Complete in your notes. 1. a – 2.1= 5.6

5 Minute Check Solve and show work. Complete in your notes. 1. a – 2.1= 5.6 + 2.1 +2.1 a = 7.7

5 Minute Check Solve and show work. Complete in your notes. 2. 4.52 = e + 3.1

5 Minute Check Solve and show work. Complete in your notes. 2. 4.52 = e + 3.1 -3.10 -3.1 1.42 = e

5 Minute Check Solve and show work. Complete in your notes. 3. m + 1 3 = 1 2

5 Minute Check Solve and show work. Complete in your notes. 3. m + 1 3 = 1 2 - 1 3 - 1 3 m = 1 2 - 1 3 3 6 - 2 6 1 6

5 Minute Check Solve and show work. Complete in your notes. 4. k – 1 5 = 5

5 Minute Check Solve and show work. Complete in your notes. 4. k – 1 5 = 5 + 1 5 + 1 5 k = 5 + 1 5 5 1 5

OST Test Prep For a school bake sale, members of the cheerleading squad bake the number of muffins shown in the table. Part A: What are the names of the squad members who bake the same number of muffins? Part B: Another squad member, Miki, also bakes the same number of muffins as the members you selected in Part A. Miki represents the number as a power of 2. What must be the value of Miki’s exponent? Why? Name Number of Muffins Robert 4³ Alicia 4 x 3 Joe 3⁴ Melanie 8²

OST Test Prep For a school bake sale, members of the cheerleading squad bake the number of muffins shown in the table. Part A: What are the names of the squad members who bake the same number of muffins? Name Number of Muffins Robert 4³ Alicia 4 x 3 Joe 3⁴ Melanie 8²

OST Test Prep For a school bake sale, members of the cheerleading squad bake the number of muffins shown in the table. Part A: What are the names of the squad members who bake the same number of muffins? Robert and Melanie baked the same number of muffins. Name Number of Muffins Robert 4³ = 64 Alicia 4 x 3 = 12 Joe 3⁴ = 81 Melanie 8² = 64

OST Test Prep For a school bake sale, members of the cheerleading squad bake the number of muffins shown in the table. Part B: Another squad member, Miki, also bakes the same number of muffins as the members you selected in Part A. Miki represents the number as a power of 2. What must be the value of Miki’s exponent? Why? Name Number of Muffins Robert 4³ Alicia 4 x 3 Joe 3⁴ Melanie 8²

OST Test Prep For a school bake sale, members of the cheerleading squad bake the number of muffins shown in the table. Part B: Another squad member, Miki, also bakes the same number of muffins as the members you selected in Part A. Miki represents the number as a power of 2. What must be the value of Miki’s exponent? Why? 2? = 64 Name Number of Muffins Robert 4³ Alicia 4 x 3 Joe 3⁴ Melanie 8²

OST Test Prep For a school bake sale, members of the cheerleading squad bake the number of muffins shown in the table. Part B: Another squad member, Miki, also bakes the same number of muffins as the members you selected in Part A. Miki represents the number as a power of 2. What must be the value of Miki’s exponent? Why? 26 = 64 Name Number of Muffins Robert 4³ Alicia 4 x 3 Joe 3⁴ Melanie 8²

OST Test Prep For a school bake sale, members of the cheerleading squad bake the number of muffins shown in the table. Part A: What are the names of the squad members who bake the same number of muffins? Part B: Another squad member, Miki, also bakes the same number of muffins as the members you selected in Part A. Miki represents the number as a power of 2. What must be the value of Miki’s exponent? Why? Name Number of Muffins Robert 4³ Alicia 4 x 3 Joe 3⁴ Melanie 8²

The median household income in Xenia is $39,401 per year. USA Today – Jan 24, 2017 The median household income in Xenia is $39,401 per year. Household income is the combined income for the entire family.

$40,000 The family’s take home pay every month is $2607. $40,000 ÷ 12 = $3,300 per month $3,300 x .1 = $330; $3,300 - $330 = $2970/month $3,300 x .06 = $198; $2,970 - $198 = $2772/month $3,300 x .03 = $99; $2,772 - $99 = $2673/month $3,300 x .02 = $66; $2,673 - $66 = $2607/month The family’s take home pay every month is $2607.

$2607 per month What is the average home price in Xenia?

$2607 per month What is the average home price in Xenia? The average home in Xenia is $100,000 and has a monthly cost of $811. $2607 - $811 = $1796

$2607 per month $2607 - $811 = $1796 What is the property tax on a $100,000 home?

$2607 per month $2607 - $811 = $1796 What is the property tax on a $100,000 home? Property taxes are generally about 3% a year.

$2607 per month $2607 - $811 = $1796 What is the property tax on a $100,000 home? Property taxes are generally about 3% a year. $100,00 x .03 = $3,000 ÷ 12 = $250 $1796 - $250 = $1546

$2607 per month $2607 - $811 = $1796 $1796 - $250 = $1546 How much is home insurance?

$2607 per month $2607 - $811 = $1796 $1796 - $250 = $1546 How much is home insurance? Home insurance is about 1% a year of the value of the home. $100,00 x .01 = $1,000 ÷ 12 ≈ $85 $1546 - $85 = $1461

$2607 per month $2607 - $811 = $1796 $1796 - $250 = $1546 $1546 - $85 = $1461 How much does electricity cost?

$2607 per month $2607 - $811 = $1796 $1796 - $250 = $1546 $1546 - $85 = $1461 How much does electricity cost? The average Xenia electric bill is $144 per month. $1461 - $144 = $1317

$2607 per month $2607 - $811 = $1796 $1796 - $250 = $1546 $1546 - $85 = $1461 $1461 - $144 = $1317 How much does basic cable TV, internet and home phone service cost?

$2607 per month $2607 - $811 = $1796 $1796 - $250 = $1546 $1546 - $85 = $1461 $1461 - $144 = $1317 How much does basic cable TV, internet and home phone service cost? Generally, about $100 per month for basic service. $1317 - $100 = $1217

$2607 per month $2607 - $811 = $1796 $1796 - $250 = $1546 $1546 - $85 = $1461 $1461 - $144 = $1317 $1317 - $100 = $1217 We have $1217 dollars left after we pay taxes and household costs, regardless of the number of people that live in the house.

Lesson 7.4/7.5.a Solve and Write Mult/Div Equations Wednesday, Feb 1 Lesson 7.4/7.5.a Solve and Write Mult/Div Equations

Solve and Write Mult/Div Equations Objective: To successfully solve and write multiplication and division equations.

Solve and Write Mult/Div Equations An equation is a mathematical sentence showing two expression are equal. An equation always has an equal sign. e.g. 6 + x = 13

Solve and Write Mult/Div Equations An equation is only true if both sides are equal. A teeter totter will only be balanced if there is equal weight on both sides

Solve and Write Mult/Div Equations e.g. x - 2 = 4 The left side = The right side

Solve and Write Mult/Div Equations When you replace a variable with a value that results in a true statement, you solve the equation. The value for the variable is the solution to the equation.

Solve and Write Mult/Div Equations e.g. 7 + x = 9 The value for x that results in a true statement is 2. So, 2 is the solution. 7 + 2 = 9 9 = 9 This is a true statement

Solve and Write Mult/Div Equations The goal in solving any algebraic equation is to get the variable on one side of the equal sign and a constant on the other side of the equal sign. e.g. x = 55

Solve and Write Mult/Div Equations Multiplication and Division Property of Equality states if two expressions are equal to each other and the exact same number is multiplied or divided from both sides, the two sides will remain equal. What you do to one side of an equation you must do to the other side.

Solve and Write Mult/Div Equations Solve. 7y = 49 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable.

Solve and Write Mult/Div Equations Solve. 7y = 49 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. What is being done to the variable?

Solve and Write Mult/Div Equations Solve. 7y = 49 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. Multiplying by 7. How can this be undone?

Solve and Write Mult/Div Equations Solve. 7y = 49 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. By dividing both sides by 7.

Solve and Write Mult/Div Equations Solve. 7y = 49 7 7 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable.

Solve and Write Mult/Div Equations Solve. 7y = 49 7 7 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. Simplify.

Solve and Write Mult/Div Equations Solve. 7y = 49 7 7 y = 7 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable.

Solve and Write Mult/Div Equations Solve. 7y = 49 7 7 y = 7 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. We can check our solution by substituting it back in the original equation.

Solve and Write Mult/Div Equations Solve. 7∙ 7 = 49 49 = 49 y = 7 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. Since this is a true statement, the solution is correct.

Solve and Write Mult/Div Equations Solve. 3b = 36 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable.

Solve and Write Mult/Div Equations Solve. 3b = 36 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. What is being done to the variable?

Solve and Write Mult/Div Equations Solve. 3b = 36 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. Multiplying by 3. How can this be undone?

Solve and Write Mult/Div Equations Solve. 3b = 36 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. By dividing both sides by 3.

Solve and Write Mult/Div Equations Solve. 3b = 36 3 3 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable.

Solve and Write Mult/Div Equations Solve. 3b = 36 3 3 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. Simplify.

Solve and Write Mult/Div Equations Solve. 3b = 36 3 3 b = 12 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable.

Solve and Write Mult/Div Equations Solve. 3b = 36 3 3 b = 12 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. We can check our solution by substituting it back in the original equation.

Solve and Write Mult/Div Equations Solve. 3b = 36 3∙12 = 36 36 = 36 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable. Since this is a true statement, the solution is correct.

Solve and Write Mult/Div Equations Solving Algebraic Equations: What side is the variable on? What operation is on that side? What is the inverse operation? What number is on that side of the equation?

Solve and Write Mult/Div Equations Solve: 56 = 4g Do this on your own.

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on?

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right What operation is on that side?

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right What operation is on that side? Multiplication

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right What operation is on that side? Multiplication What is the inverse operation?

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right What operation is on that side? Multiplication What is the inverse operation? Division

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right What operation is on that side? Multiplication What is the inverse operation? Division What number is on that side of the equation?

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right What operation is on that side? Multiplication What is the inverse operation? Division What number is on that side of the equation? 4

Solve and Write Mult/Div Equations Solve: 56 = 4g What side is the variable on? Right What operation is on that side? Multiplication What is the inverse operation? Division What number is on that side of the equation? 4 Divide both sides by 4

Solve and Write Mult/Div Equations Solve: 56 = 4g 4 4 14 = g On today’s assignment, everything in blue is the work to be shown. 14 4)56 -4 16 -16

Solve and Write Mult/Div Equations Solve: 15 = 6y Do this on your own.

Solve and Write Mult/Div Equations Solve: 15 = 6y 6 6 2.5 = y 02.5 6)15.0 -12 30 -30

Solve and Write Mult/Div Equations Solve: 1.5x = 3

Solve and Write Mult/Div Equations Solve: 1.5x = 3 1.5 1.5 x = 2 OR……. 3 ÷ 1.5 30 ÷ 15 02 15)30 -30

Solve and Write Mult/Div Equations 10 · 1.5x = 3 · 10 15x = 30 15𝑥 15 = 30 15 x = 2

Solve and Write Mult/Div Equations Solve: 1.1f = 3.52

Solve and Write Mult/Div Equations Solve: 1.1f = 3.52 1.1 1.1 f = 3.2 3.52 ÷ 1.1 35.2 ÷ 11 03.2 11)35.2 -33 22 -22

Solve and Write Mult/Div Equations 100 · 1.1f = 3.52 · 100 110f = 352 110𝑓 110 = 352 110 x = 3.2 003.2 110)352 -330 220 -220

Solve and Write Mult/Div Equations Solve: 𝑥 5 = 6 How to Solve Algebraic Equation - Use the inverse operation to undo whatever is being done to the variable.

Solve and Write Mult/Div Equations Solve: 𝑥 5 = 6 To determine if two fractions are equivalent, cross multiply. 1

Solve and Write Mult/Div Equations Solve: 𝑥 5 = 6 x 1

Solve and Write Mult/Div Equations Solve: 𝑥 5 = 6 x = 30 1

Solve and Write Mult/Div Equations Solve: 7 = 1 5 f

Solve and Write Mult/Div Equations Remember- 1 5 f = 1 5 · 𝑓 1 = 𝑓 5

Solve and Write Mult/Div Equations Solve: 7 = 𝑓 5 35 = f 1

Solve and Write Mult/Div Equations

Solve and Write Mult/Div Equations 3𝑥 4 = 6 3x = 24 3x 3 = 24 3 x = 8 1

Solve and Write Mult/Div Equations Katie bought 5 cupcakes for $16.00. Write a algebraic equation that would find the cost of each cupcake. Do this on your own.

Solve and Write Mult/Div Equations Katie bought 5 cupcakes for $16.00. Write a algebraic equation that would find the cost of each cupcake. 5c = 16

Solve and Write Mult/Div Equations Katie bought 5 cupcakes for $16.00. Write a algebraic equation that would find the cost of each cupcake. 5c = 16

Solve and Write Mult/Div Equations Katie bought 5 cupcakes for $16.00. Write a algebraic equation that would find the cost of each cupcake. 5c = 16 Solve the equation.

Solve and Write Mult/Div Equations Katie bought 5 cupcakes for $16.00. Write a algebraic equation that would find the cost of each cupcake. 5c = 16 5 5 c = $3.20 03.2 5)16.0 -15 10 -10

Solve and Write Mult/Div Equations Steve’s tabby cat eats 5 times as often as his black cat. The tabby cat ate 10 times yesterday. Write and solve an algebraic equation to find how many times the black cat ate. Do this on your own.

Solve and Write Mult/Div Equations Steve’s tabby cat eats 5 times as often as his black cat. The tabby cat ate 10 times yesterday. Write and solve an algebraic equation to find how many times the black cat ate. 5b = 10 5b = 10 5 5 b = 2

Solve and Write Mult/Div Equations Use the table that shows football data. George Blanda played in the NFL for 26 years. Write and solve an equation to find how many points he averaged each year.

Solve and Write Mult/Div Equations In the football game the home team earned 3 times as many points as the visiting team. They won the game with 21 points. Write and solve an algebraic multiplication equation to find how many points the visiting team scored. 5x = 75 . 5x = 15 x = 3

Solve and Write Mult/Div Equations In the football game the home team earned 3 times as many points as the visiting team. They won the game with 21 points. Write and solve an algebraic multiplication equation to find how many points the visiting team scored. 5x = 75 . 5x = 15 x = 3 He did not multiply both sides by 1 5 .

Solve and Write Mult/Div Equations Identify which equation does not belong. Explain why.

Solve and Write Mult/Div Equations Identify which equation does not belong. Explain why. 4b = 7, the others have a solution of 4.

Solve and Write Mult/Div Equations Agenda Notes Skills Practice 7.4/7.5.a Due Thursday, Feb 2 Chapter 7 Test –Tuesday, Feb 7 Retakes Thursday after school Help session Monday after school