6th Grade MathAlgebra

Jessica Corriere & Robert Richards

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

 Problem 1) What value of x makes the equation below true?

 7 + x = 84

 A. 12B. 77C. 83D. 91

Solve simple one-step equations using basic whole-number facts

How to solveThere 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 x7 + x – 7 = 84 – 7

x = 77The correct answer is Choice B, 77

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?

 

A. 3

B. 9

C. 13

D. 25

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 solveThere 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 153 x 15 = b 5

45 = b5

9 = b Choice B is the correct answer

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”?

A. 9x -3 = 15

B. 3(9) – x = 15

C. 9 – 3x = 15

D. 3(x – 9) = 15

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

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test with full explanations on how to solve each of themAvailable in paperback and eBook

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