Simplifying Expressions
4x + 2y - 8x + y + 1
-4x + 3y + 1
7x - 3 = 18
x = 3
What are the y intercept & the slope of the line?
y = -2x + 3
m = -2
b = 3
Write an equation in slope intercept form with a slope of -8 and a y-intercept of -3
y = -8x -3
What key features does an equation written in slope intercept form help us to find?
slope and y-intercept
5(2x - 3)
10x - 15
2(3x + 5) = 34
x = 6
What are the y intercept & the slope of the line?
y = x - 7
m = 1
b = - 7
Miss Jean likes to go to Cafe Zing for a latte and a scone. Lattes cost $6 each and scones are $5. She gets a gift card for $60. Write an equation for the number of lattes, x, and the number of scones, y, that Miss Jean can order with her giftcard.
6x + 5y = 60
What key features does an equation in standard form help us find?
x and y intercepts
8x - 2(3x + 1)
2x - 2
4x - 2(3x + 4) = 12
x = -10
what are the a x and y intercepts of the equation? Write them as coordinate points.
2x - 4y = 16
(8, 0) and (0, -4)
Miss Jean gets a $50 gift card to Asaro and uses it to buy iced tea. Iced teas at Asaro cost $5 per cup. Write an equation to represent the money left on her gift card, y, after purchasing x iced teas.
y = -5x + 50
The equation y = -4x + 50 where x represents the number of pizza slices you can buy with y dollars left on the gift card. Find and interpret the slope and y-intercept.
m = -4 this represents the cost per pizza slice
b = 50 this represents the starting balance of the gift card
5x(x - 9)
5x2 - 45x
12y - 3(4y + 1) = -3
IMS
What are the x and y intercepts of the line? Write your answers as a coordinate point.
x - y = 12
(12, 0) and (-12, 0)
Write the equation of the line where y represents the total number of tiles and x represents the case number
Case #: 0, 1, 2, 3
Total Tiles: 3, 8, 13, 18
y = 5x + 3
Miss Jean likes to go to Cafe Zing for a latte and a scone. Lattes cost $6 each and scones are $5. She gets a gift card for $30. The equation for the number of lattes, x, and the number of scones, y, that Miss Jean can order with her gift card is 6x + 5y =30. Find and interpret the x and y intercepts.
x intercept: If she does not buy any scones she can buy 5 lattes.
y intercept: If she does not buy any lattes, she can buy 6 scones with her gift card.
7x2 - 2x(x + 5) - 3x
5x2 - 13x
7y - 2(3y - 9) = 18
y = 0
What is the slope and the y-intercept of the line?
y = x
m = 1
b = 0
Write the equation of the line where y represents the total number of tiles and x represents the case number
Case #: 1, 2, 3, 4
Total Tiles: 3, 7, 11, 15
y = 4x - 1
The equation y = 8x + 10 represents the relationship between the total number of squares in a pattern, y, for ever case number, x. Identify and interpret the slope and the y-intercept.
m = 8 represents 8 squares being added for each additional figure.
b = 10 is the number of squares in case 0