Question

Emma is attempting to finish her summer reading in a week. This will allow her to relax for the rest of the summer. On Monday, she read $(3x^2+5x-7)$ pages, Tuesday $(-7x+9)$ pages, and Wednesday $(-2x^2+3x+4)$ pages. In three days, how many pages did she read?

• A. $x^2-x+6$
• B. $x^2+x-6$
• C. $x^2+x+6$
• D. None of the above

Answer 1

The correct option is C $x^2+x+6$

$\underset{–}{\text{Given:}}$
Let's make a table with Emma's daily page reading.
Total pages read in three days $=$ Pages read on Monday $+$ Pages read on Tuesday $+$ Pages read on Wednesday

$=(3x^2+5x-7)+(-7x+9)+(-2x^2+3x+4)$
Combining the like terms

$=\underset{–}{(3x^2-2x^2)}+(\underset{–}{5x-7x}+3x)+(\underset{–}{-7+9}+4)$
Simpifyig the underlined terms

$=x^2+(-2x+3x)+(2+4)$

$=x^2+x+6$

Therefore, Emma read $\underset{–}{x^2+x+6}$ pages in three days.

Hence, option (c.) is the correct one.