This document provides sample math problems and explanations for solving 6th grade algebra equations, proportions, and translating word problems into algebraic equations. It includes 3 examples of math word problems along with step-by-step explanations for how to set up and solve each problem. The document promotes additional learning resources in the form of math books that contain similar practice problems and explanations to prepare for state tests.

1. 6th Grade Math
Algebra
Jessica Corriere & Robert Richards

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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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 eBook – click
to view to view
Paperback – click to Paperback – click to
view view