# Day 5 quiz

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Algebra

One number is 6 times another number, and their sum is -42.  What is the greater of the two numbers?

A) 7
B) -6
C) -7
D) 36[/vc_column_text][vc_text_separator title=”Day 5 Answer Explanation”][/vc_column][/vc_row][vc_row][vc_column][vc_column_text]Just translate the words into a mathematical expression.

“one number is 6 times another number” –> one number = 6x

“another number” —> is just x.

“their sum is -42” —-> 6x + x  = -42.

So then combine the like terms and solve for x.

7x = -42.

so x = -6.

and y = 6x = -36.

Now we know both numbers, but the question asks which is the “greater number.”  This means which is greater than the other as if they were on a number line.

-6 is greater than -36, so -6 is the answer.  (B)[/vc_column_text][/vc_column][/vc_row][vc_row][vc_column][vc_text_separator title=”Key Math Fact To Learn” css=”.vc_custom_1486133682139{padding-top: 20px !important;}”][/vc_column][/vc_row][vc_row][vc_column][vc_column_text]Remember that bigger negative numbers are LESS than smaller negative numbers.  So -100 is less than -1 ( -100 < -1 ) and -1 is greater than -100 (-1 > -100).

Also remember “a number” can always be assigned a letter such as “x” or “y” in equations when we don’t know what it is.[/vc_column_text][/vc_column][/vc_row]