Factoring and Expanding
Expand the Polynomial:
(2x+3)2
Answer: 4x2+9
Find the square root of each number:
Square root of 0.25
Answer: 0.5
Simplify:
2m/m-n + 2n/n-m
Answer: 2
2x+3x=15
Chapter 1 Packet: 15a
x=3
The first box office at a movie theater sold 86 more tickets than another box office. How many tickets were sold at each box office if the two box offices sold a total of 792 tickets?
Chapter 1 Packet: 9
Box office one: 439 tickets
Box office two: 353 tickets
Multiply the Polynomials:
(x-y)(x+y)
Answer: x2-y2
Find the value of each expression:
The square root of 0.09 plus the square root of 0.25
Answer: 0.8
Solve:
(x+2)(x-7)(x-13)>0
Hint: Use a certain method
Answer: -2<x<7, x>13
x(x+3)(x-1)=0
hint: Zero Product Property
x=0,-3,1
The perimeter of a triangle equals 16 centimeters. Two sides of the triangle are equal in length, and each is 2.9 centimeters longer than the third side. How long is each side of the triangle?
Chapter 1 Packet: Problem 10
Answer: 3.4 centimeters, 6.3 centimeters, and 6.3 centimeters
Expand each polynomial:
5x(x+2)(x-2)
Answer:
5x3-20x
Rewrite the value of each expression without using absolute value notation:
/a/ where a>0
Answer: The same or a
Simplify: ((-2a2a2b)2a3b2)/(-3a2b)3
Answer: -4ab/27
6(x-1)=9.4-1.7x
x=2
There is a number written on the board. one student increased the number by 23, but another student decreased the same number by 1. the first student's result was 7 times greater than the result of the second student. what is the number written on the board?
Chapter 1 Packet: 20
Answer: -27
Insert a monomial into each equality such that the result is an identity:
(15y+...)2=225y2+ 12x3y+0.16x6
Answer: 0.4x3
Rewrite the value of each expression without using absolute value notation:
The absolute value of 2b where b<0
Answer: The opposite of b or -2b
Name three irrational numbers and three Rational Numbers!
Answers Vary
x/4 +x/3=14
x=24
A sailfish can swim at 67 mph. A swordfish can swim at 61 mph. These two fish were 96 miles apart in an ocean when they started swimming towards each other, How long will it take for them to meet is the speed of the ocean current is 5 mph?
Chapter 9 packet: 22
Answer: 45 minutes
(5x^2+10x-15)/x^2-6x+5 times (4x^2-8x-5)/2x^2+7x+3
Answer: 5(2x-5)/x-5
Simplify:
The square root of (5-the square root of 11)
Answer: 5-the square root of 11
Solve the equation:
x2+2x-15=0
Answer: x=-5, 3
2z+3=2z/5
-15/8
A wizard's apprentice needs 20 spoons of 17 percent Daisy potion to make Good Luck drink. How many spoons of 7 percent potion and how many spoons of 27 percent potion should she mix to get the desired concentration?
Chapter 5 Packet: 54
7 percent potion: 10 spoons
27 percent potion: 10 spoons