Question

My math teacher said: I provided you with an already simplified expression. Your task is to create two expressions (for each) that would simplify the given expression.

3x - 19
-11y + 6
25h - 42
62w + 80
-17b + 1

Answer 1

1. (4 x - 20) - (x + 1 ) = 3 x - 19

2. (-6 y + 3) + (-5 y + 3 ) = -11 y + 6

3. (15 h - 50) + (10 h + 8) = 25 h - 42

4. (60 w + 40) + (2 w + 40) = 62 w + 80

5. (20 b + 10) - (37 b + 9 ) =-17 b + 1

Explanation:

The one good way to simplify the given expression is to break the TERMS from all the given terms and take it out of the given expression.

(a) 3 x - 19

Here, two expressions that on simplification gives 3 x - 19 are A - B

Here A = 4 x - 20 , B = x + 1

A - B = (4 x - 20) - (x + 1 ) = 3 x - 19

(b) -11 y + 6

Here, two expressions that on simplification gives -11 y + 6 are A + B

Here A = -6 y + 3 , B = -5 y + 3

A + B = (-6 y + 3) + (-5 y + 3 ) = -11 y + 6

(c) 25 h - 42

Here, two expressions that on simplification gives 25 h - 42 are A + B

Here A = 15 h - 50 , B = 10 h + 8

A + B = (15 h - 50) + (10 h + 8) = 25 h - 42

(d) 62 w + 80

Here, two expressions that on simplification gives 62 w + 80 are A + B

Here A = 60 w + 40 , B = 2 w + 40

A + B = (60 w + 40) + (2 w + 40) = 62 w + 80

(e) -17 b + 1

Here, two expressions that on simplification gives 3 x - 19 are A - B

Here A = 20 b + 10 , B = 37 b - 9

A - B = (20 b + 10) - (37 b + 9 ) =-17 b + 1

Here, there MANY WAYS TO DO THIS , i am just giving one.