Question

CAN SOMEONE CHECK 2 OF MY ANSWERS AND SOLVE 2 OTHERS?

1. What are Polya's 4 steps?
Write an equation for the following problems and then solve.

2. Ten times a number added to five is nine times the number.

3. Twice the difference of a number and three is the sum of that number and four.

4. Three times a number is two times the difference of that number and one.


My answers:
1. Step 1 is read all the way through, understand the problem. Step 2 is to make a plan to solve the problem. Step 3 is to carry on that plan. Step 4 is to check ur answer.

2. -5

Answer 1

1. correct
2. -5, correct
3. 10
4. -2

Explanation:

3.

You want the number such that twice the difference of the number and 3 is 4 more than the number.

2(x -3) = x +4

2x -6 = x +4 . . . . . eliminate parentheses

x = 10 . . . . . . . . . add 6-x

The number is 10.

4.

You want the number such that 3 times the number is twice the difference of the number and 1.

3x = 2(x -1)

3x = 2x -2 . . . . eliminate parentheses

x = -2 . . . . . subtract 2x

The number is -2.