logging in or signing up Algebra II hiratufail Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 148 Category: Entertainment License: All Rights Reserved Like it (0) Dislike it (0) Added: June 06, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Algebra II : Algebra II By Monica Yuskaitis Definitions : Definitions Equation – A mathematical sentence stating that 2 expressions are equal. 12 – 3 = 9 8 + 4 = 12 Definitions : Definitions Equation – A mathematical sentence with an equals sign. 16 – 5 = 11 14 + 3 = 17 Definitions : Definitions Equals Sign (=) Means that the amount is the same on both sides. 4 + 2 = 6 5 – 2 = 3 An Equation is like a balance scale. Everything must be equal on both sides. : An Equation is like a balance scale. Everything must be equal on both sides. 10 5 + 5 = When the amounts are equal on both sides it is a true equation. : When the amounts are equal on both sides it is a true equation. 12 6 + 6 = When the amounts are unequal on both sides it is a false equation. : When the amounts are unequal on both sides it is a false equation. 8 2 + 2 = When an amount is unknown on one side of the equation it is an open equation. : When an amount is unknown on one side of the equation it is an open equation. 7 n + 2 = When you find a number for n you change the open equation to a true equation. You solve the equation. : When you find a number for n you change the open equation to a true equation. You solve the equation. 7 n + 2 = 5 Are these equations true, false or open? : Are these equations true, false or open? 11 - 3 = 5 13 + 4 = 17 N + 4 = 7 12 – 3 = 8 3 + v = 13 15 – 6 = 9 false true open false open true Definitions : Definitions Inverse operation – the opposite operation used to undo the first. 4 + 3 = 7 7 – 4 = 3 6 x 6 = 36 36 / 6 = 6 How to solve an addition equation : How to solve an addition equation Use the inverse operation for addition which is subtraction m + 8 = 12 12 - 8 = 4 m = 4 4 + 8 = 12 How to solve a subtraction equation : How to solve a subtraction equation Use the inverse operation for subtraction which is addition m - 3 = 5 5 + 3 = 8 m = 8 8 - 3 = 5 Solve these equations using the inverse operations : Solve these equations using the inverse operations n + 4 = 7 n – 5 = 4 n + 4 = 17 n – 6 = 13 n + 7 = 15 n – 8 = 17 3 9 13 19 8 9 Commutative Property : Commutative Property 5 + 4 = 9 4 + 5 = 9 a + b = c b + a = c 6 + 3 = 9 3 + 6 = 9 x+ y = z y + x = z 3 + 4 + 1 = 8 1 + 3 + 4 = 8 Solve these equations using the commutative property : Solve these equations using the commutative property n + 7 = 7 + 4 m + 2 = 2 + 5 z + 3 = 3 + 9 g + 6 = 6 + 11 s + 4 = 4 + 20 c + 8 = 8 + 32 n = 4 m = 5 z = 9 g = 11 s = 20 c = 32 The Identity Property of Addition : The Identity Property of Addition 7 + 0 = 7 a + 0 = a 8 + 0 = 8 c + 0 = c 2 + 0 = 2 Use the Identity Property of addition to solve these problems : Use the Identity Property of addition to solve these problems n + 0 = 8 b + 0 = 7 m + 0 = 3 v + 0 = 5 w + 0 = 4 r + 0 = 2 n = 8 b = 7 m = 3 v = 5 w = 4 r = 2 Subtraction Rules of zero : Subtraction Rules of zero 7 – 7 = 0 n – n = 0 4 – 0 = 4 n – 0 = n Find the value of n using the rules of subtraction : Find the value of n using the rules of subtraction n - 8 = 0 n – 9 = 0 n – 0 = 7 n – 0 = 9 n – 7 = 0 n – 0 = 5 n = 8 n = 9 n = 7 n = 9 n = 7 n = 5 Write an equation for these problems using a variable : Write an equation for these problems using a variable Timothy got 72 right on his timed test in July. He got 99 right on this same test in November. Jasmin runs 15 minutes before school and 30 minutes after school. One zinger costs 25 cents. Issak bought 4. 72 + n = 99 or 99 – 72 = n 15 + 30 = n 4 x 25 = n You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Algebra II hiratufail Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 148 Category: Entertainment License: All Rights Reserved Like it (0) Dislike it (0) Added: June 06, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Algebra II : Algebra II By Monica Yuskaitis Definitions : Definitions Equation – A mathematical sentence stating that 2 expressions are equal. 12 – 3 = 9 8 + 4 = 12 Definitions : Definitions Equation – A mathematical sentence with an equals sign. 16 – 5 = 11 14 + 3 = 17 Definitions : Definitions Equals Sign (=) Means that the amount is the same on both sides. 4 + 2 = 6 5 – 2 = 3 An Equation is like a balance scale. Everything must be equal on both sides. : An Equation is like a balance scale. Everything must be equal on both sides. 10 5 + 5 = When the amounts are equal on both sides it is a true equation. : When the amounts are equal on both sides it is a true equation. 12 6 + 6 = When the amounts are unequal on both sides it is a false equation. : When the amounts are unequal on both sides it is a false equation. 8 2 + 2 = When an amount is unknown on one side of the equation it is an open equation. : When an amount is unknown on one side of the equation it is an open equation. 7 n + 2 = When you find a number for n you change the open equation to a true equation. You solve the equation. : When you find a number for n you change the open equation to a true equation. You solve the equation. 7 n + 2 = 5 Are these equations true, false or open? : Are these equations true, false or open? 11 - 3 = 5 13 + 4 = 17 N + 4 = 7 12 – 3 = 8 3 + v = 13 15 – 6 = 9 false true open false open true Definitions : Definitions Inverse operation – the opposite operation used to undo the first. 4 + 3 = 7 7 – 4 = 3 6 x 6 = 36 36 / 6 = 6 How to solve an addition equation : How to solve an addition equation Use the inverse operation for addition which is subtraction m + 8 = 12 12 - 8 = 4 m = 4 4 + 8 = 12 How to solve a subtraction equation : How to solve a subtraction equation Use the inverse operation for subtraction which is addition m - 3 = 5 5 + 3 = 8 m = 8 8 - 3 = 5 Solve these equations using the inverse operations : Solve these equations using the inverse operations n + 4 = 7 n – 5 = 4 n + 4 = 17 n – 6 = 13 n + 7 = 15 n – 8 = 17 3 9 13 19 8 9 Commutative Property : Commutative Property 5 + 4 = 9 4 + 5 = 9 a + b = c b + a = c 6 + 3 = 9 3 + 6 = 9 x+ y = z y + x = z 3 + 4 + 1 = 8 1 + 3 + 4 = 8 Solve these equations using the commutative property : Solve these equations using the commutative property n + 7 = 7 + 4 m + 2 = 2 + 5 z + 3 = 3 + 9 g + 6 = 6 + 11 s + 4 = 4 + 20 c + 8 = 8 + 32 n = 4 m = 5 z = 9 g = 11 s = 20 c = 32 The Identity Property of Addition : The Identity Property of Addition 7 + 0 = 7 a + 0 = a 8 + 0 = 8 c + 0 = c 2 + 0 = 2 Use the Identity Property of addition to solve these problems : Use the Identity Property of addition to solve these problems n + 0 = 8 b + 0 = 7 m + 0 = 3 v + 0 = 5 w + 0 = 4 r + 0 = 2 n = 8 b = 7 m = 3 v = 5 w = 4 r = 2 Subtraction Rules of zero : Subtraction Rules of zero 7 – 7 = 0 n – n = 0 4 – 0 = 4 n – 0 = n Find the value of n using the rules of subtraction : Find the value of n using the rules of subtraction n - 8 = 0 n – 9 = 0 n – 0 = 7 n – 0 = 9 n – 7 = 0 n – 0 = 5 n = 8 n = 9 n = 7 n = 9 n = 7 n = 5 Write an equation for these problems using a variable : Write an equation for these problems using a variable Timothy got 72 right on his timed test in July. He got 99 right on this same test in November. Jasmin runs 15 minutes before school and 30 minutes after school. One zinger costs 25 cents. Issak bought 4. 72 + n = 99 or 99 – 72 = n 15 + 30 = n 4 x 25 = n