Question

Which expression is equivalent to 1/5m − 20?

Answer 1

Answer:

The correct option is 2.

Step-by-step explanation:

The given expression is

$\frac{1}{5}m-20$

The coefficient of m is 1/5. So, write the second term as the multiple of 1/5.

The given expression can be written as

$\frac{1}{5}m-\frac{1}{5}(100)$

Taking out common factors.

$\frac{1}{5}(m-100)$

The given expression is equivalent to $\frac{1}{5}(m-100)$. Therefore the correct option is 2.

Answer 2

$\displaystyle \frac{1}{5}(m-100)~is~equivalent~to~\frac{1}{5}m-20$

Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

$\large {\boxed {\bold {ax = b}}$

or

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large {\boxed {\bold {ax + by = c}}}$

There are 2 general steps to solving a linear equation of one variable:

• 1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers
• 2. Change the equation into a simple form so that the coefficient of the variable is 1

This can be done by dividing or multiplying by equal numbers

An equation will remain equivalent if both segments are multiplied or divided by the same number

An equation is said to be equivalent if the same solution is obtained

Looking for algebraic forms that are equivalent to

$\displaystyle \frac{1}{5}m-20$

We can use the distributive property of multiplication in addition or subtraction in the arithmetic operations of algebraic form

General formula

• a(b+c) = ab + ac
• a(b-c) = ab - ac

From the algebraic form  $\displaystyle \frac{1}{5}m-20$ we can state it in the form of multiplication with the same factor which is $\displaystyle \frac{1}{5}$, so that the algebraic form becomes:

$\displaystyle =\frac{1}{5}m-\frac{1}{5}100\\\\=\frac{1}{5}(m-100)$

Learn more

the slope-intercept form of the linear equation

brainly.com/question/1945934

a graph of a linear equation

brainly.com/question/1505806

system of linear equations

brainly.com/question/11544167

Keywords: one variable, linear equation, distributive nature, algebraic form