Standard Form 9/29/15 Ms. Stack.

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Presentation transcript:

Standard Form 9/29/15 Ms. Stack

9/29 Do Now Reminders: *Quiz tomorrow *Study guide due Friday What operation should be performed first when solving 2x−4 3 = 12? Solve: 6x + 11 + 3x= 47 Marie goes to the pet store to buy food for her puppy. She has $25. A bag of food costs $12. She also finds a bin of toys where each costs $2. If she must buy the food, at most how many toys can she buy? What is the difference between the perimeter and area of a square that has an area of 100 units? The equation y=461x + 3,492 represents the value of a car from 1975 to 2005. What does the number 3,492 represent? The value of the car in 1975 The value of the car in 2005 The yearly increase in car’s value The yearly decrease in the car’s value

Let’s Practice Method 1 Change standard form into y=mx + b -4x + 3y= 12

Put each into slope-intercept form by solving for y (Method 1) x + 3y= -12 -6x + 2y=12 5y = -20x + 10 5x – 5y = 15 Steps: We are trying to get y alone on the left. Move x to the other side (by doing the inverse operation) Divide everything (both sides) by what is in front of the y to isolate the variable

Let’s Practice Method 2 Find the x and the y-intercept of the equation -4x + 3y= 12

Find the x and the y-intercept of each equation (Method 2) 6x + 2y= 18 -2x – 4y= -8 Steps: To find the x-intercept, set y=0 To find the y-intercept, set x=0

EOC Practice Problem #1 Suppose that the function f(x)= 3x + 8 represents the cost to buy x pizzas per month. Garrett only has $15. How many more dollars does he need to buy 7 pizzas this month?

EOC Practice Problem #2 What is the average rate of change in weight of the child from week 8 to week 12? Time (months) Weight (pounds) 8 45 9 47.5 10 51.3 11 59 12 64.5

EOC Practice Problem #3 The table below shows the cost of a pizza based on the number of toppings. Which function represents the cost of the pizza with n toppings? C(n)= 12 + 1.5(n - 1) C(n)= 1.5n + 12 C(n)= 12 + n C(n)= 12n Number of Toppings (n) Cost (C) 1 $12 2 $13.50 3 $15 4 $16.50

EOC Practice Problem #4 The sequence below shows the number of trees a nursery plants each year. 2, 8, 32, 128 …. Which formula could be used to determine the number of trees the nursery will plant next year, NEXT, if the number of trees planted this year, NOW, is known? NEXT= .25 NOW NEXT= 4 * NOW NEXT= 2 * NOW + 4 NEXT= NOW + 6

Match the Equation & It’s Graph For each graph, choose the correct equation Please do not write on the slips of paper or the graphs 