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6 th Grade Math Algebra Jessica Corriere & Robert Richards

### This PowerPoint is a sample of the book, 6th Grade Math:

This PowerPoint is a sample of the book, 6 th Grade Math

### Problem 1) What value of x makes the equation below true?   7 + x = 84   A. 12 B. 77 C. 83 D. 91:

Problem 1) What value of x makes the equation below true? 7 + x = 84 A. 12 B. 77 C. 83 D. 91 Solve simple one-step equations using basic whole-number facts

### How to solve There are 2 basic rules to a problem like this. Isolate the unknown on one side of the equal sign. Whatever action you perform must be performed on both sides of the equal sign.   7 + x = 84 Subtract 7 from both sides to isolate x 7 + x – 7 = 84 – 7 x = 77 The correct answer is Choice B, 77 :

How to solve There are 2 basic rules to a problem like this. Isolate the unknown on one side of the equal sign. Whatever action you perform must be performed on both sides of the equal sign. 7 + x = 84 Subtract 7 from both sides to isolate x 7 + x – 7 = 84 – 7 x = 77 The correct answer is Choice B, 77

### Solve simple proportions within context:

Solve simple proportions within context Problem 2) Guafi selects 15 pieces of fruit. If 3 out of 5 of these fruit are bananas, b , how many bananas does Guafi select? 3 9 13 25

### How to solve:

How to solve Facts provided There are 15 total pieces of fruit There are 3 bananas for every 5 pieces of fruit Write a formula that expresses those two statements 15 pieces of fruit, the bananas plus the other fruit, when 3 out of every 5 fruit is a banana. G-Zibo Tip – In a word problem, the word “is” means equals in the formula 15 (3/5) = b

### How to solve:

How to solve There are 2 basic rules to a problem like this. Isolate the unknown on one side of the equal sign . In this case it already is. Whatever action you perform must be performed on both sides of the equal sign. 15 (3/5) = b Simplify the left side Multiply 3/5 times 15 3 x 15 = b 5 45 = b 5 9 = b Choice B is the correct answer

### Translate two-step verbal sentences into algebraic equations:

Translate two-step verbal sentences into algebraic equations Problem 3) What algebraic equation represents “three times the difference of a number, x, and nine equals fifteen”? 9 x -3 = 15 3(9) – x = 15 9 – 3 x = 15 3( x – 9) = 15

### How to solve :

How to solve The statement gives 3 times the difference of x and 9 3( x – 9) equals 15 the word “equals” determines where the equal sign goes, 15 on one side, everything else on the other 3( x -9) = 15 Choice D is the correct answer

### Click book covers to order The book contains the same type questions found on the state test with full explanations on how to solve each of them Available in paperback and eBook:

Click book covers to order The book contains the same type questions found on the state test with full explanations on how to solve each of them Available in paperback and eBook eBook – click to view Paperback – click to view eBook – click to view Paperback – click to view