Express symbolically, using variables, the general properties in algebra that are illustrated.
A) $( 400 + 25 ) \times 3 = ( 400 \times 3 ) + ( 25 \times 3 )$
B) $( 57 \times 16 ) + ( 43 \times 16 ) = ( 57 + 43 ) \times 16$
C) $( 600 + 32 ) \div 4 = ( 600 \div 4 ) + ( 32 \div 4 )$
D) $\frac { 75 + 18 } { 3 } = \frac { 75 } { 3 } + \frac { 18 } { 3 }$

Question

Express symbolically, using variables, the general properties in algebra that are illustrated.
A) $( 400 + 25 ) \times 3 = ( 400 \times 3 ) + ( 25 \times 3 )$ 
B) $( 57 \times 16 ) + ( 43 \times 16 ) = ( 57 + 43 ) \times 16$ 
C) $( 600 + 32 ) \div 4 = ( 600 \div 4 ) + ( 32 \div 4 )$ 
D) $\frac { 75 + 18 } { 3 } = \frac { 75 } { 3 } + \frac { 18 } { 3 }$

Quizplus · Accepted Answer

The Answer is A)

( a + b ) imes c = ( a imes c ) + ( b imes c )

, or

( a + b ) c = ( a c ) + ( b c )

, or just ac + bc
B)

( a imes b ) + ( c imes b ) = ( a + c ) imes b

C)

( a + b ) \div c = ( a \div c ) + ( b \div c )

D)

\frac { a + b } { c } = \frac { a } { c } + \frac { b } { c }

^. Compare this answer with (a + b) ÷ c = (a ÷ c) + (b ÷ c).

Express Symbolically, Using Variables, the General Properties in Algebra That (400+25)×3=(400×3)+(25×3)( 400 + 25 ) \times 3 = ( 400 \times 3 ) + ( 25 \times 3 )(400+25)×3=(400×3)+(25×3)

Express Symbolically, Using Variables, the General Properties in Algebra That $( 400 + 25 ) \times 3 = ( 400 \times 3 ) + ( 25 \times 3 )$