ACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?
|ACT Math||Intermediate Algebra|
|ACT Mathematics||Intermediate Algebra|
Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
|Elementary Algebra||Solve quadratic equations by factoring|
|Foreign Language||Arabic Subtitled|
|Intermediate Algebra||Fractional equations|
Radical and rational expressions
|Product Type||ACT Math|
because we have a 7 and a 49 in the same line...49 is 7 squared so... we're just being baited.
First we need to factor the first part. We have quantity x minus 7 times quantity x plus
7... then all of that times 7... or we can just put the 7 in front, over here.
We've got a 7 MINUS x on the bottom -- but we need it to be the other way around, so
we have to multiply top and bottom by negative 1.
And we get this ugly equation:
Which simplifies to negative 7 times the quantity x plus 7... then all over x... and we're good.