Hi Guys! Sorry I am a little late (it's 5pm and I am just posting!), but here are the answers to your review sheet for homework tonight.
1.) A function is a relation between a set of inputs and outputs in which every input has exactly one output.
2.) A relation is a set of input and output values that can be graphed in a coordinate plane.
3.) The Vertical Line Test is a method used to distinguish functions from relations. The vertical line test states that if any vertical line drawn on your graph intersects the graph at only one point, your graph represents a function. If any vertical line drawn on your graph intersects the graph and more than one point, your graph represents a relation, but NOT a function.
4.) I can't draw a graph on here, so see me if you need help on this tomorrow before the quiz!
5.) Words: The number of ounces of soda drank depends on the number of cans. For each can of soda, there are 12 ounces drank.
Equation: y = 12x
Graph: Again, I can't draw a graph on here, so see me if you need help!
5 (AGAIN! HAHA SORRY!)
a.) Table is linear and the rule is: y = 4x + 2. It is linear because there is a constant rate of change.
b.) Table is non-linear and the rule is y = -x^2. It is non-linear because there is not a constant rate of change.
6.) a. cubic
b. Linear
c. Quadratic
d. Linear
7.) a. Independent variable is time. Dependent variable is grass height.
b. The grass is growing at a steady rate. Then, the grass gets cut. It begins to grow at a steady rate again, and grows longer than last time, but gets cut again. It begins to grow a third time at a steady rate, but is cut quickly again, before starting to grow at a steady rate.
c. The graph never hits the x-axis because the grass is never at a height of 0.
Tuesday, October 20, 2015
Tuesday, October 20, 2015
Today in Algebra, we discussed the "All kinds of Graphs" questions and compared linear, quadratic, absolute value, exponential, and cubic functions and graphs. We also reviewed topics for our quiz tomorrow. For homework, you have a review sheet to prepare you for the quiz. *CHECK BACK AFTER 4PM FOR ANSWERS TO REVIEW SHEET!*
Today in Pre-Algebra, we wrote and solve equations related to geometry, perimeter and area. We worked on finding the missing side length after we have solved for x in these geometric shapes. For homework, complete 6.1 Practice B worksheet #7, 9, 10, 12, 13, 14, 15, 17, 18, 20, and 21.(The ones circled on your worksheet!) *REMINDER: QUIZ CORRECTIONS ON DISTRIBUTIVE PROPERTY AND COMBINING LIKE TERMS ARE DUE FRIDAY!*
Today in Pre-Algebra, we wrote and solve equations related to geometry, perimeter and area. We worked on finding the missing side length after we have solved for x in these geometric shapes. For homework, complete 6.1 Practice B worksheet #7, 9, 10, 12, 13, 14, 15, 17, 18, 20, and 21.(The ones circled on your worksheet!) *REMINDER: QUIZ CORRECTIONS ON DISTRIBUTIVE PROPERTY AND COMBINING LIKE TERMS ARE DUE FRIDAY!*
Monday, October 19, 2015
Update for Monday!
ALGEBRA STUDENTS:
YOUR QUIZ IS CHANGED TO WEDNESDAY INSTEAD OF TOMORROW! STAY AFTER FOR HELP TOMORROW!
YOUR QUIZ IS CHANGED TO WEDNESDAY INSTEAD OF TOMORROW! STAY AFTER FOR HELP TOMORROW!
Monday October 19th and Updates for the week
Hi All!
In Algebra, we are graphing functions, including linear, quadratic, exponential, absolute value, cubic, using a table. We will then compare these different types of graphs. For homework, complete graphing functions, which is a half sheet of paper. You will need your own graph paper. Students have a quiz tomorrow on linear functions vs. nonlinear functions, and the various ways that they could see a function: words, graph, table and equation.
In Pre-Algebra, we took a quiz on solving equations with distributive property and combining like terms. Students do not have homework tonight, although if they want to do quiz corrections on their distributive property quiz that I handed back last week, they are due on Friday!
I am after school for extra help this week: Tuesday, Wednesday, and Thursday until 3.
In Algebra, we are graphing functions, including linear, quadratic, exponential, absolute value, cubic, using a table. We will then compare these different types of graphs. For homework, complete graphing functions, which is a half sheet of paper. You will need your own graph paper. Students have a quiz tomorrow on linear functions vs. nonlinear functions, and the various ways that they could see a function: words, graph, table and equation.
In Pre-Algebra, we took a quiz on solving equations with distributive property and combining like terms. Students do not have homework tonight, although if they want to do quiz corrections on their distributive property quiz that I handed back last week, they are due on Friday!
I am after school for extra help this week: Tuesday, Wednesday, and Thursday until 3.
Thursday, October 15, 2015
Thursday, October 15
Hi all!
Today in Algebra, we discussed linear functions and the idea that words, graphs, tables and equations can all represent the same linear function. For homework, complete the worksheet. Remember that you will need graph paper and that there are 4 graphs!
In Prealgebra today, we practiced solving equations involving fractions, since students were having some difficulty with it yesterday! For homework, complete the review sheet for your quiz that is on Monday!
Wednesday, October 14, 2015
Wednesday, October 14, 2015
Hi All,
In Algebra today, we worked on determining if relations are or are not functions. We applied the vertical line test to graphs to determine if they represent a function or not. For homework, students complete Page 51 # 37 & 38, and Page 259 #7-9, 11-19.
In Pre-Algebra today, we worked on solving equations that involve fractions. We worked on keeping the fractions inside the equation and working with the fractions, as well as learned how to clear out the fractions from the equations. For homework, students must complete the extra practice on fraction equations.
UPDATE: PRE-ALGEBRA STUDENTS: Your quiz has been changed to Monday of next week, instead of Friday of this week. I think we could use another day of practicing solving equations before our quiz! :)
In Algebra today, we worked on determining if relations are or are not functions. We applied the vertical line test to graphs to determine if they represent a function or not. For homework, students complete Page 51 # 37 & 38, and Page 259 #7-9, 11-19.
In Pre-Algebra today, we worked on solving equations that involve fractions. We worked on keeping the fractions inside the equation and working with the fractions, as well as learned how to clear out the fractions from the equations. For homework, students must complete the extra practice on fraction equations.
UPDATE: PRE-ALGEBRA STUDENTS: Your quiz has been changed to Monday of next week, instead of Friday of this week. I think we could use another day of practicing solving equations before our quiz! :)
Thursday, October 8, 2015
Review Sheet Answers ALGEBRA
Chapter 3 Review:
1.) Three possible solutions: one solution, no solution, all real numbers. If you get one solution, you will actually be able to solve the equation and get an answer. If you get no solution, the variables will cancel out and what you will be left with is an equation that is an UNTRUE statement. (example: 5 = 2) If you get all real numbers, the variables cancel out, and what you have left is an equation that is a TRUE statement. (example : 5 = 5)
2.) To obtain integer coefficients with fractions, multiply the whole equation by a common denominator. To obtain integer coefficients with decimals, multiply the whole equation by a power of 10 that will eliminate the decimals.
3.) If the problem states: "rewrite the equation so x is a function of y", we solve for x since it says "x is". If it says "rewrite the equation so y is a function of x" we solve for y since it says "y is".
4.) 5/9(F - 32) = C
5.) A/Pt - 1/t = r
6.) x = $19.05
7.) x = 74, x + 2 = 76, x + 4 = 78
8.) a.) y = 15 + 3x b.) 10x - 7 = y
9.)x = -58
10.) t = 4 hours Olivia Sara-- 6 hours
11.) x = 10 2/3
12.) x = 70 mins
13.) x = 182 raffle tickets
Chapter 3 Word Problems Review
1.) x = $141.18
2.) t = 6hrs , t-2 = 4 hours
3.) x = 42.86 days --> 43 days
4.) t = 1/2 hours
1.
1.) Three possible solutions: one solution, no solution, all real numbers. If you get one solution, you will actually be able to solve the equation and get an answer. If you get no solution, the variables will cancel out and what you will be left with is an equation that is an UNTRUE statement. (example: 5 = 2) If you get all real numbers, the variables cancel out, and what you have left is an equation that is a TRUE statement. (example : 5 = 5)
2.) To obtain integer coefficients with fractions, multiply the whole equation by a common denominator. To obtain integer coefficients with decimals, multiply the whole equation by a power of 10 that will eliminate the decimals.
3.) If the problem states: "rewrite the equation so x is a function of y", we solve for x since it says "x is". If it says "rewrite the equation so y is a function of x" we solve for y since it says "y is".
4.) 5/9(F - 32) = C
5.) A/Pt - 1/t = r
6.) x = $19.05
7.) x = 74, x + 2 = 76, x + 4 = 78
8.) a.) y = 15 + 3x b.) 10x - 7 = y
9.)x = -58
10.) t = 4 hours Olivia Sara-- 6 hours
11.) x = 10 2/3
12.) x = 70 mins
13.) x = 182 raffle tickets
Chapter 3 Word Problems Review
1.) x = $141.18
2.) t = 6hrs , t-2 = 4 hours
3.) x = 42.86 days --> 43 days
4.) t = 1/2 hours
1.
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