Lesson 3-6 Pages 126-130 Writing Two-Step Equations Lesson Check 3-5.

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Presentation transcript:

Lesson 3-6 Pages Writing Two-Step Equations Lesson Check 3-5

What you will learn! 1. How to write verbal sentences as two-step equations. 2. How to solve verbal problems by writing and solving two-step equations.

AdditionSubtractionMultiplicationDivision plusminustimesdivided sumdifferenceproductquotient more than less than multipliedper increased by subtracteachrate in all decreased by ofratio lessfactorsseparate What you really need to know! What the words really mean!

Example 1: Twice a number, increased by 5, equals -25. Use n to represent the number. 2n + 5 = -25 Translate each sentence into an equation.

Example 2: Four times a number minus 8 equals 28. Use n to represent the number. 4n – 8 = 28 Translate each sentence into an equation.

Example 3: When five is added to the product of a number and 8, the result is 12. Use n to represent the number n = 12 Translate each sentence into an equation.

Example 4: Nine more than four times a number is 41. Find the number. Use n to represent the number n = 41 Translate each sentence into an equation. Then solve.

9 + 4n = n = n = 8

Example 5: The product of 6 and a number, less 7, equals 11. Use n to represent the number. 6n – 7 = 11 Translate each sentence into an equation. Then solve. 6n = 18n = 3

Example 6: When four is added to a number that has been divided by 3, the result is 1. Use n to represent the number. Translate each sentence into an equation. Then solve.

Example 7: Four less than 8 times a number is 12. Use n to represent the number. 8n – 4 = 12 Translate each sentence into an equation. Then solve. 8n = 16n = 2

Example 8: Ms. Blake earns $48,400 per year. That is $4,150 more than three times as much as her daughter earns. How much does her daughter earn? Use d to represent what the daughter earns.

48,400 = 4, d 44,250 = 3d 14,750 =d Daughter earns $14,750 d represents daughter

Example 9: In a canned food drive, Sam collected 12 more cans than Lisa. Together, they collected 128 cans. How many cans did Sam collect? Use c to represent cans Lisa collected.

c + 12 represents Sam c + (c + 12) = 128 (c + c) + 12 = 128 2c + 12 = 128 c represents Lisa

2c = 116 c = 58 Lisa collected 58 Sam collected 70 2c + 12 = 128

Page 128 Guided Practice #’s 3-7

Pages with someone at home and study examples! Read:

Homework: Pages #’s 8-23 all #’s all Practice Quiz Lesson Check 3-6

Page 730 Lesson 3-6

Lesson Check 3-6