Question

Write an equivalent expression for each question

Answer 1

Answer:

A. 16 - 4 x   = 4(4 - x)

B. 4 x + 8  = 4( x + 2)

C. -8 b - 24   = -8(b + 3)

D. 54 + 9 x  = 9 (x  + 6)

Step-by-step explanation:

Here, the given expressions are:

A. 16 - 4 x

Now, 16 and 4 have 4 as their COMMON FACTOR.

⇒Taking out 4 as the factor, we get:  16 - 4 x = 4 ( 4 - x)

Hence, the equivalent expression of 16 - 4 x = 4 ( 4 - x)

B. 4x + 8

Now, 4 and 8 have 4 as their COMMON FACTOR.

⇒Taking out 4 as the factor, we get:  4 x  + 8 = 4 ( x + 2)

Hence, the equivalent expression of 4 x  + 8 = 4 ( x + 2)

C. -8b - 24

Now, -8 and -24 have (-8) as their COMMON FACTOR.

⇒Taking out (-8) as the factor, we get:  -8b - 24  = (-8) ( b+ 3)

Hence, the equivalent expression of -8b - 24  = (-8) ( b+ 3)

D. 54 + 9x

Now, 54 and 9  have (9) as their COMMON FACTOR.

⇒Taking out (9) as the factor, we get:  54 + 9 x = 9( 6 + x)

Hence, the equivalent expression of 54 + 9 x = 9( 6 + x)