Question

Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 7.3 points. She also correctly solved a bonus question worth 11 points. Using the equation 7.3a + 11 = 98.6, how many correct answers (a) did Izzie have on the main part of the test?

A. 15
B. 12
C. 81
D. 13

Answer 1

Answer: B) 12

Explanation:

This is a great question because the equation is already set up for us

7.3a + 11 = 98.6

the first thing you want to do in an algebraic equation is isolate the variable. To do this, we can move the 11 from the left side of the = to the right. Remember that if you move a term from one side to the other, it's value will change. So instead of it being 7.3a = 98.6 plus 11 it'll be minus 11.

Now combine like terms. 98.6-11 = 87.6

Your equation should now look like this

7.3a = 87.6

the last thing to do is find a which can be done by dividing each side by 7.3 (remember that if you're dividing one side, you have to do the same thing to the other)

so 87.6/7.3 = 12

hope this helped! attached is a picture of my work