Question | Answer | Question | Answer | Question | Answer |
---|---|---|---|---|---|

16y=144 | y=9 | -2x-2=4 | x=-3 | 3(2x+5)=39 | x=4 |

6m+1=-23 | m=-4 | 2x+15=43-5x | x=4 | 7w-3(4w+8)=11 | w=-7 |

-4w-4=8 | w=-3 | 3+4x=9x+13 | x=-2 | ||

0=x-2 | x=2 | 9y+4.8=17.4 | y=1.4 | 2x-10=44+8x | x=22 |

x-10=-11 | x=-1 | 9x-5=13 | x=2 | 2(6k-1)=-38 | k=-3 |

x+7=-15 | x=-22 | 5x+6=2x+15 | x=3 | -4(8+5n)=8 | n=2 |

x/1.8=72 | x=129.6 | 7x-4=20+3x | x=6 | -2(5+6m)+16=-90 | m=8 |

### chapter 2 alg 2

Question | Answer |
---|---|

direct variation | y=kx^2 |

inverse variation | y=k/x^n |

Four step Algorithm | write an equation find a constant variation rewrite the variation evaluate |

what does the graph look like as a y=kx^2 | proabula |

slope formula | Y1-Y2/X1-X2 |

when the volume of gas varies directly and the temperatures pressure measured inversely. when the gas is 250k and temp. is 76.2 and volume is 750. what is constant variation? | 750=k*250/76.2=228.6 |

s=16d^2 how does the value of s change if d is doubled? | *2^2 |

s=16d^2 how does the value of s change if d is divided by 3 | /3^2 |

### chapter 1 alg 2

Question | Answer |
---|---|

consider the sequence 6,15,24,33,42 write a recursive formula | c=6 Cn=Cn-1+9 15-6=9 |

find the first 4 terms of this sequence | 13,28,53,88 5(1)^2+8 5(2)^2+8 5(3)^2+8 5(4)^2+8 |

find p(x)= 2x^3+5x^2-5x when x=4 | 2(4)^3+5(4)^2-5(4)=188 |

what is domain | indpendant (x) |

what is range | dependant (y) |

find the volume of the cylinder V=(pie)r^2h r= 9cm h= 12cm | plug in to equcation V=(pie)(9)^2(12)=3054 |

rewrite the formula for H V=(pie)r^2h | V/h=(pie)r^2h/h h=V/(pie)r^2 |

### Math vocab

Question | Answer |
---|---|

angle | has two sides that share a common endpoint and is measured in degrees |

degrees | when a circle is divided into 360 equal-sized parts, each part has an angle measure of 1 degree |

vertex | the common endpoint of two or more line segments that form an angle |

acute angle | an angle with less than 90 degrees |

right angle | an angle with 90 degrees |

obtuse angle | an angle with more that 90 degrees but less than 180 degrees |

straight angle | an angle with 180 degrees |

complementary angles | two angles whose sum equals 90 degrees |

supplementary angles | two angles whose sum equals 180 degrees |

polygon | a closed figure with three or more sides |

triangle | a three sided polygon whose interior angles equals 180 degrees |

scalene triangle | a triangle with NO equal sides and NO equal angles |

isosceles triangle | a triangle with TWO equal sides and TWO equal angles |

equilateral triangle | a triangle with THREE equal sides and THREE equal angles |

acute triangle | a triangle with three acute angles |

right triangle | a triangle with one right angle |

obtuse triangle | a triangle with one obutse angle |

quadrilateral | a closed figure with four sides and four angles |

parallelograms | quadrilaterals whose opposite sides are parallel and congruent |

rectangle | a rectangle is a parralelogram that has 4 right angles |

square | a parallelogram with four equal sides and four equal angles |

rhombus | parallelogram with 4 equal sides and its opposite angles are congruent |

trapeziod | a quadrilateral with one pair of parallel des |

perimeter | the distance around a geometric figure |

area | the number of square units needed to cover the surface enclosed by a geometric figure |

composite figure | a polygon made up of two or more geometric shapes |

### Variations and Graphs

Question | Answer |
---|---|

What are some examples of a constant of variation? | r=5c, r=10. They are all a form of y=kx^n where k is a nonzero constant and n is a positive number. |

Ex: The weight w of an adult animal of a given species is known to vary directly with the cube of its height h. a. Write an equation relating w and h. b. Identify the dependent and independent variables. | Solution: An equation for the direct varation is w=kh^3 b. Because w is given in terms of h, The dependent variable is w and the independent variable is h. |

What is an inverse-variation function? | Its a function with a formula of the form y=k/x^n, with k not equaling 0 and n being greater than 0. |

Ex: The number n of oranges you can pack in a box is approximentely inversely proportional to the cube of the average diameter d of oranges. Write an equation to express this relation. | Solution: The cube of the diameter of d^3. So, n is = k/d^3 |

The Fundamental Theorem of Variation | a. If y varies directly as x^n( That is, y=kx^n), and x is multiplied by c, then y is multiplied by c^n. b. If y varies inversely as x^n( That is, y=k/x^n), and x is multiplied by a nonzero constant c, then y is divided by c^n. |

Formula for Slope of a Line | =changes in vertical distance/ change in horizontal distance = change in dependent variable/ change in independent variable =rise/run |

Domain and range k>0 | The domain of the function with equation y=kx^2 is the set of all real numbers. When K > 0, the range is the set of nonnegative real numbers, and the parabola opens up. |

Domain and range k<0 | The range is thet set of nonpositive real numbers and the parabola opens down. That is, the vertex of the parabola is its maximum point. |

### two step equartionas

Question | Answer |
---|---|

6m+1=-23 | m=-4 |

-4w-4=8 | w=-3 |

9y+4.8=17.4 | y=14 |

-2x-2=4x | x=-4 |

x/-6=8 | x=-48 |

2-x/5=-13 | x=2/9 |

### math kevin

Question | Answer |
---|---|

3(2x+5)=39 | x=4 |

2(6k-1)=-38 | k=-3 |

8(7-y)=-24 | y=10 |

-4(8+5n)=8 | n=-2 |

6(3x-5)-7x=25 | x=5 |

-2x=14 | x=-7 |

3h=12 | h=4 |

-4f=-20 | f=5 |

-45k=90 | k=-2 |

2x=40 | x=20 |

5x+10=20 | x=2 |

5x+7=4 | x=6 |

m/3+5=-2 | m=-21 |

3/4x+4=-2 | x=-8 |

-9-7x=-5 | x=-2 |

5x+6=2x+15 | x=3 |

7x-4=20=3x | x=6 |

2x+15=43-5x | x=4 |

3+4x=9x+13 | x=-2 |

-5x+40=6x-70 | x=10 |

### 1 step equations, 2 step equations, variables, distribution

Question | Answer |
---|---|

a+4=11 | 7 |

6=g+8 | -2 |

h-4=0 | 4 |

4x=36 | 9 |

-3=-a/13 | 39 |

3y-7=8 | 5 |

-4x+6=34 | 17 |

14+4x=38 | 6 |

7-5u=-43 | 10 |

-30=-9x-3 | 3 |

6(3x-5)-7x=25 | 5 |

18x-(8x-7)=67 | 6 |

2(9n-1)+7(n+6)=-60 | -4 |

13(3x+15)-(10+x)=35 | -9 |

15(t+2)+9t=6 | -1 |

11(4-6y)+5(13y-1)=9 | 40 |

8(-2x-4)+12=-52 | 2 |

-2(5+6m)+16=-90 | -8 |

3(2x+5)=39 | 4 |

-4(8+5n)=8 | -2 |

### …

Question | Answer |
---|---|

3(2x+5)=39 | x=4 |

2(6k-1)=-38 | x=-3 |

15(t+2)+9t=6 | x=-1 |

7w-3(4w+8)=11 | x=-7 |

-4(8+5n)=8 | x=-2 |

2x=14 | x=7 |

5x=10 | x=2 |

4/x=2 | x=2 |

21-x=-1 | x=22 |

6x+3=8x-21 | x=12 |

15-x=4x | x=3 |

5x=6+2x | x=2 |

-2(5+6m)+16=-90 | x=8 |

x–6=–2x+3 | x=3 |

3x+7=34 | x=9 |

5x-9=31 | x=8 |

2/x+7=27 | x=10 |

4x-2=20 | x=6 |

### operations

Question | Answer |
---|---|

-2x=14 | x=-7 |

4p=32 | p=8 |

-6n=30 | n=5 |

-9a=-45 | 9=-5 |

72=-3b | b=24 |

4y+1=13 | y=3 |

6x+2=12 | x=4 |

-3=5k+7 | k=-2 |

`7=-3c-2 | c=-3 |

49=16+3y | y=11 |

5x+6=2x+15 | x=3 |

7x-4=20+3x | x=6 |

2x+15=43-5x | x=4 |

3+4x=9x+13 | x=-2 |

x-2=1-2x | x=3 |