Question

Translate to an algebraic

Find out the expression and simplify:

a ) eleven less than negative eight

b ) the difference of −8 and −3 ,increased by5

Short answer

The simplified form of a) eleven less than negative 8 is $-19$

b) The difference of$-8and-3increasedby5is0$

Step-by-step solution

Part (a) Step 1 .Given information

Given expression is a) 11 less than negative 8

We need to find out expression first and then simplify.

Part (a) Step 2 . Translate an English Phrase to an algebraic Expression

• b less than a means$a-b$.
• The difference of a and b means $a-b$
• a is increased by b means$a+b$

Part (a) Step 3 .Description of expression and simplification 

Eleven less than negative eight, the expression and simplified form is $$\begin{gathered} =-8-11 \\ =-19 \end{gathered}$$

Part (b) Step 1 Given information

Given expression is

b) the difference of -8 and-3 increased by 5

We need to find out expression first and then simplify.

Part (b)  step 2 .Description of expression and simplification 

The difference of -8 and -3 increased by 5, the expression and simplified form is$$\begin{gathered} =-8--3+5\sin ceblessthanameansa-b,differenceofaandbmeansa-baisincreasedbybmeansa+b. \\ =-5+5 \\ =0 \end{gathered}$$