 Felicia ate one less than four times the number of cookies Araceli ate. If Felicia ate 11 cookies, how many cookies did Araceli eat? 4a – 1 = 11 4a =

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Presentation transcript:

 Felicia ate one less than four times the number of cookies Araceli ate. If Felicia ate 11 cookies, how many cookies did Araceli eat? 4a – 1 = 11 4a = 12 a = 3 cookies Twice Araceli One less than twice Araceli 4a– 1

1. X = 5 2. X = X = X = X = X = 7 7. X = X = X = x = x = x = x = x = 16/5 or 3 1/5 15. x = x = x = x = x = x = x = 45/4 or 11 1/4

XEI 202: Solve equations in the form x + a = b, where a and b are whole numbers or decimals XEI 302: Solve one-step equations having integer or decimal answers XEI 403: Solve routine first-degree equations

3x = 9 33 In order to isolate “x”, we must get rid of the 3!!! x = 3 9/3 = 3, so x = 3! Check: 3 3 = 9 Yes!!!! Golden Rule: If we divide one side by 3, we must divide the other side by 3!

-4x = In order to isolate “x”, we must get rid of the -4!!! x = -5 20/-4 = -5, so x = -5! Check: = 20 Yes!!!! We divide both sides by -4!!!

Multiply by the reciprocal! = x x x = 54 1 x = 20 Follow Golden Rule!

Reciprocal Do the same!

1. 5x = x = x = ½ x = /5 x = 6 6. ¼ x = 3 1. x = 7 2. x = x = 4. x = x = x = 12

XEI 403: Solve routine first-degree equations XEI 404: Perform straightforward word-to-symbol translations XEI 501: Solve real-world problems using first-degree equations

Addition & Subtraction x + 7 = 5 – 7 – 7 x = x = x = 17 Multiplication & Division 6x = x = x = x = 20

2x + 9 = 15 – 9 2x = 6 2 x = 3 Step #1: Get rid of all addition and subtraction first! Step #2: Get rid of all multiplication and division! To get rid of the +9, you would – 9 on both sides! To get rid of the 2, divide both sides by 2! Check: 2(3) + 9 = = = 15

-5x – 7 = x = x = -4 Addition and Subtraction first! Check: -5(-4) – 7 = – 7 = = 13 Multiplication and division second!

x + 2 = 8 – 2 x = 6 1 x = 65 Check: 1/5(30) + 2 = = 8 8 = 8 Multiply by the reciprocal! x = 30

1. 5x – 9 = x + 6 = x + 5 = 204. x – 7 = x = 20 x = 4 -4x = 16 x = x = 15 x = x = 10 x = 60