Question

Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.

Answer 1

Answer:

$(-14+\frac{3}{2}b)-(1+\frac{8}{2}b\leftrightarrow-15-\frac{5}{2}$

$(5+2b)+(2b+\frac{3}{2})\leftrightarrow \frac{13}{2}+4b$

$(\frac{7}{2}b-3)-(8+6b)\leftrightarrow-\frac{5}{2}b-11$

$(-10+b)+(7b-5)\leftrightarrow-15+8b$

Step-by-step explanation:

We have to match the pairs of equivalent expression.

1.$(-14+\frac{3}{2}b)-(1+\frac{8}{2}b$

$-14+\frac{3}{2}b-1-\frac{8}{2}b$

$(-14-1)+\frac{3-8}{2}b$

$-15-\frac{5}{2}$

1-8

3.$(5+2b)+(2b+\frac{3}{2})$

$(5+\frac{3}{2})+(2b+2b)$

$\frac{10+3}{2}+4b$

$\frac{13}{2}+4b$

2-3

5.$(\frac{7}{2}b-3)-(8+6b)$

$\frac{7}{2}b-6b-3-8$

$\frac{7b-12b}{2}-11$

$(\frac{7}{2}b-3)-(8+6b)$

$\frac{7b-12b}{2}-3-8$

$-\frac{5}{2}b-11$

5-6

7.$(-10+b)+(7b-5)$

$(-10-5)+(b+7b)$

$-15+8b$

7-4

Answer 2

The equivalent expressions are (5 + 2b) + (2b + (3/2))  and 4b + (13/2), (-14 + (3/2)b) - (1 + (8/2)b) and -(5/2)b - 15, (-10 + b) + (7b - 5) and 8b - 15, ((7/2)b - 3) - (8 + 6b) and (-5/2)b - 11

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

1) (5 + 2b) + (2b + (3/2)) = (2b + 2b) + (5 + (3/2)) = 4b + (13/2)

2) (-14 + (3/2)b) - (1 + (8/2)b) = ((3/2)b - (3/2)b) + (-14 -1) = -(5/2)b - 15

3) (-10 + b) + (7b - 5) = (-10 - 5) + (b + 7b) = 8b - 15

4) ((7/2)b - 3) - (8 + 6b) = ((7/2)b - 6b) -3 - 8 = (-5/2)b - 11

The equivalent expressions are (5 + 2b) + (2b + (3/2))  and 4b + (13/2), (-14 + (3/2)b) - (1 + (8/2)b) and -(5/2)b - 15, (-10 + b) + (7b - 5) and 8b - 15, ((7/2)b - 3) - (8 + 6b) and (-5/2)b - 11

Find out more on equation at: https://brainly.com/question/2972832