1) the side length of a cube is 3√3 cm. which answer is a rational value?

a)the total area of the front and bottom squares.

b)the diagonal of the top square.

c)the volume.

d)the perimeter of the bottom square.

2)which equations support the fact that rational numbers are closed under addition?

select each correct answer.

a)35√+5√=45√35+5=45

b)12+0.5=112+0.5=1

c)10−−√+(−10−−√)=010+(−10)=0

d)316−−√+316−−√=616−−√

3)which expressions simplify to a rational answer?
select each answer

a)52⋅−√2√52·2

b)9√⋅16−−√9·16

c)3√⋅2√3·2

d)11−−√⋅5√

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .