# Algebra Help Please

**Question description**

1. Simplify the expression.

(x + 3y − 5z) − (x − 2y + 4z)1 =

Classify the answer by number of terms and degree.

1st-degree monomial

1st-degree binomial

1st-degree trinomial

2nd-degree binomial

2nd-degree trinomial

2. Simplify the expression.

3(x − 1) − 2(x2 + 2x + 3) − 5(x + 9)1

Classify the answer by number of terms and degree.

1st-degree monomial

1st-degree binomial

1st-degree trinomial

2nd-degree binomial

2nd-degree trinomial

3. Simplify the expression.

(3*x* − 1)(*x*^{2} + 3*x* − 4) =

4. Simplify the expression.

(x − 2)(2x − 3) − (x + 1)(x − 4)

5. If possible, completely factor the expression. (If the

expression is not factorable, enter NF.)

*x*^{2} − 8*x* − 9

6. Completely factor the expression.

*x*^{2} + 7*x* + 10

7. Factor the expression by using areas.

*x*^{2} + *x* − 42

8. Let *x* = 2 and *y* = 4. Find the value of the

given capital letter.

*N* = *x*^{2} + 2*xy* + *y*^{2}

+ 1

*N* = 1

9. Solve the equations.

(a) 3L /4 = 7

L =

(b) 2 = 2M/3 + 8

M =

9. Solve the equation.

3(*W* + 4) − 4(*W* + 5) = 0

*W* = 1

10. Solve the equation. (Enter your answers as a

comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)

x2 − 14x + 42 = 0x = 1

11. Young's Rule for calculating a child's dosage for

medication is

CHILD'S DOSE =

AGE OF CHILD |

AGE OF CHILD + 12 |

× ADULT DOSE.

(a) If an adult's dose of a particular medication is 100 mg,

what is the dose for a 6-year-old child? (Round your answer to one decimal

place.)

1

mg

(b) If a 12-year-old child's dose of a particular medication is 10 mg, what is

the adult's dose?

2

mg

12. A poll was taken of 100 students at a commuter campus to

find out how they got to campus. The results were as follows:

32 | said they drove alone. |

33 | rode in a carpool. |

31 | rode public transportation. |

4 | used both carpools and public transportation. |

7 | used both a carpool and sometimes their own cars. |

5 | used buses as well as their own cars. |

2 | used all three methods. |

How many used none of the above-mentioned means of transportation?

1

students

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