Linear Equations and Inequalities
Draw an inequality for 1≥x>8
(graph)
What is the equation based on the graph?
y=(4/3)x +8
What is a perpendicular line to − x +2y =2 that goes through (1, − 2)
y=-2x
Solve by substituting:
3x+3y=3
5x+y=13
(-3,-2)
Solve by factoring
x2-11x+19=-5
{3,8}
Solve for z: 2/9 (y-z)=x
z=−(9x/2)+y
Write an equation based on the graph
y=2x-5
What is a parallel line to y = − (1/2)x − 2 that goes through ( − 2, − 1)
y=-(1/2)x-2
Solve by eliminating:
4x+9y=9
X-3y=6
(9,5)
Solve by completing the square:
x2-8x+15=0
{5,3}
(5/4)x -3=(1/4)x +7
x=10
Write an equation from (0,-2) and (3,0)
y=(2/3)x -2
What is a perpendicular line to 5x + y = − 3 that goes through (5, 2)
y=(1/5)x+1
Solve:
5x+8y=-17
2x-7y=-17
(-5,1)
8m2+7m-15=-7
Answer on power point
-(3/2)x +4=(1/2)x -8
x=6
Write an equation for (2,-5) and (0,1)
y=-3x+1
What is a parallel line to − x +2y = − 6 that goes through (4, − 3)
y=(1/2)x-5
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Vans: 8, Bus: 22
Solve:
5x2+3=-16v
{-(1/5), -3}
What is the distance at 3 hours? Is the graph increasing or decreasing? What is the rate of change?
75 miles, increasing, Slope=25
Write an equation for (1,-5)and (-2,2)
y=-(7/3)x -(8/3)
What is a parallel and perpendicular line to y = − 3x − 1 that goes through ( − 1, 3)
Parallel: y=-3x
Perpendicular: y=−(1/3)x +(8/3)
Ryan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.98 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. How many miles would Ryan need to drive for the two plans to cost the same? Round to the nearest mile if necessary.
160 Miles
Solve by the quadratic formula:
2m2+2m-12=0
{-3,2}