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Teachers & SchoolsACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?

ACT Math | Intermediate Algebra |

ACT Mathematics | Intermediate Algebra |

Algebra | Factoring Interpret the structure of expressions Write expressions in equivalent forms to solve problems |

Elementary Algebra | Solve quadratic equations by factoring |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Intermediate Algebra | Fractional equations Radical and rational expressions |

Language | English Language |

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.

Answer: B.