Systems of Equations
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
Lee has a budget of $15 to buy grapes. Write an inequality to represent the number of pounds of grapes that Han could buy if grapes are $3.99 per pound.
3.99g <= 15
What is the y intercept? Slope?
y = 3x + 1
y-int: (0, 1)
Slope: 3
List ALL combinations of factors that give you 64.
1 x 64, -1 x 64
2 x 32, -2 x -32
4 x16, -4x-16
8x8, -8x-8
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
A family paid $96 for 4 pool passes and 2 gym memberships. What's an equation that represents this situation?
4p + 2g = 96
What is the slope and y-int?
2y+6x=16
slope: -3
y-int: 8
Factor x2 + 10x + 24.
(x+6) (x+4)
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
A family paid $100 for 5 pool passes and 2 gym memberships. Later that day, an individual bought a pool pass for herself, a pool pass for a friend, and 1 gym membership. She paid $72.
Write a system of equations to represent this problem.
5p + 2g = 100
2p + 1g = 72
Which function has a x-int of 2 and y-int of -16?
a) 8x+16=y
b) 2x-16=y
c) 8x-16=y
d) 2x+16=y
c) 8x-16=y
Solve x2 - 18x + 80 = 0.
x = 8, 10
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
(0, -7)
Daisy would like to buy a video game that costs $130. She has saved $48 so far and plans on saving $5 of her allowance each week. How many weeks, w, will it be until she has enough money to buy the game?
16.4 or 17.
Write the equation of a line that passes through points (0,7) and (3, 14).
y = (7/3)x + 7
Factor 3x2 - 7x -6.
(3x+2)(x-3)