Day 12 Assignment.

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Day 12 Assignment

1. The perimeter of a rectangular wooden deck is 90 feet. The deck’s length, l, is 5 feet less than 4 times its width, w. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck? F. 2l + 2w = 90 H. 2l + 2w = 90 l = 5 – 4w l = 4 – 5w G. 2l + 2w = 90 J. 2l + 2w = 90 l = 5w – 4 l = 4w – 5

2. The graphs of the equations y = x − 3 and y = x+ 1 are graphed. What is the solution to this system of equations? A (0, 1) B (5, 6) C (6, 7) D No solution

Which of the below graphs has no solution? 3. Which of the below graphs has no solution? A. B.

4. A school principal ordered 100 pizzas for a total of $1255. Cheese pizzas cost $11.50 each, and pepperoni pizzas cost $13.00 each. Which of the following systems of linear equations can be used to determine c, the number of cheese pizzas the principal ordered, and p, the number of pepperoni pizzas the principal ordered? A. c + p = 100 C. c + p = 100 13c + 11.50p = 1255 11.50c + 13p = 1255 B. c − p = 100 D. c − p = 100

What is the parent function for the below graph? 5. What is the parent function for the below graph? y= x Y= x2 Y = .75x2 – 3 Y = mx + b

6. What is the x value of the solution to the system of the below equations? Y = -3x + 4 Y = 2x - 11

7. Which of the below lines is parallel to the line going through ( 4, -4) and (0, 4) Y = 7x + 4 Y = -1/2x + 5 Y = -2x + 9 Y = 2x + 12

8. Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum, g? F 5f + 3g = 3.60 H f + g = 22 2f + 10g = 5.707 f + 13g = 9.30 G 5f + 2g = 5.70 J 5f + 3g = 5.70 3f + 10g = 3.60 2f + 10g = 3.60

9. The equations of two lines are y = 6x – 4 and y = 4x + 2. What is the value of x in the solution for this system of equations? A x = 14 B x = 3 C x = 1 D x = 6

What is the x intercept of the equation: 5x – 8y = 45 10. What is the x intercept of the equation: 5x – 8y = 45

11. If the system of linear equations y = -2x + 1 and y = −1/2x + 1 are graphed on the same coordinate grid, which of the following is the solution to this system of linear equations? A (2, 0) B (0, 2) C (0.5, 0) D Not here

What is the slope of 42x + 7y = 84? 12. What is the slope of 42x + 7y = 84?

13. Write two equations: A local grocery store sold 87 bags of dog and cat food for $675. If dog food is $20 a bag and cat food is $15 a bag, write two equations for the situation.