Slope Intercept Form
Write the equation of a line that has a slope of 5 and a y-intercept of -3
y=5x-3
Write the equation of the line that passes through (-3, -3) and has a slope of -2/3
Solve the system of equations by graphing: y=-1/2x+3 & y=1/2x-1
(4, 1)
y=7 & y=3x+22
(-5, 7)
Anjali and Ryan each improved their yards by planting rose bushes and ornamental grass. They bought their supplies from the same store. Anjali spent $138 on 14 rose bushes and 1 bunch of ornamental grass. Ryan spent $198 on 14 rose bushes and 6 bunches of ornamental grass. Find the cost of one rose bush and the cost of one bunch of ornamental grass.
$9 a rose bush and $12 ornamental grass
Write the equation of the line in slope intercept form that passes through the points (6, 4) and (0, 2)
y=1/3x+2
Write an equation of a line that passes through the points (-5, 0) and (0, -4)
y=-4/5(x+5)
Solve the system of equations by graphing: y=-1/3x+3 & x=3
(3, 2)
y=-7x+13 & -x-3y=-19
(1, 6)
Dan and Bill are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Dan sold 4 packages of sugar cookie dough and 12 packages of gingerbread cookie dough for a total of $280. Bill sold 4 packages of sugar cookie dough and 4 packages of gingerbread cookie dough for a total of $120.
$10 for sugar cookie dough and $20 for gingerbread dough
Write the equation of the line in slope intercept form that passes through the points (4, 5) and (-4, -1)
y=3/4x+2
Write an equation that passes through (-1, -5) and is parallel to y=8x+1
y+5=8(x+1)
Solve the system of equations by graphing: y=-x-2 & y=-5x+2
(1, -3)
y=x+1 & -3x-2y=13
Mark and Jimmy each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Mark spent $64 on 6 daylilies and 8 bunches of ornamental grass. Jimmy spent $34 on 6 daylilies and 2 bunches of ornamental grass. Find the cost of one daylily and the cost of one bunch of ornamental grass.
$4 for daylily and $5 for ornamental grass
Write an equation that passes through (3, 1) and is parallel to y=-x+3
y=-x+4
Write an equation that passes through (5, 1) and is parallel to y=-4/5x-5
y-1=-4/5(x-5)
Solve the system of equations by graphing: 7x+4y=-16 & x-4y=-16
(-4, 3)
-3x-2y=-17 & x-3y=-20
(1, 7)
The water park 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 5 vans and 1 bus with 125 students. High School B rented and filled 2 vans and 1 bus with 83 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
14 on a van & 55 on a bus
Write an equation that passes through (-3, 5) and is perpendicular to y=3/4x+5
y=-4/3x+1
Write an equation that passes through (-4, -4) and is perpendicular to y=-4x
y+4=1/4(x+4)
Solve the system of equations by graphing: 2x+3y=-3 & 2x+y=3
(3, -3)
2x+y=-15 & -x-y=8
(-7, -1)
The school that Jennifer goes to is selling tickets to a play. On the first day of ticket sales the school sold 4 adult tickets and 10 student tickets for a total of $108. The school took in $228 on the second day by selling 14 adult tickets and 10 student tickets. Find the price of an adult ticket and the price of a student ticket.
$12 for adults and $6 for students