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Slope Intercept form
Solving equations
Systems of equations
x and y intercepts
Challenge questions
100
Write the linear equations in slope-intercept form. -6x+y=-17
y=6x-17
100
Solve for x 8x-6x-25=-35
x=-5
100
Solve the system of linear equations using a table, a graph, or algebraically. y=x+4 y=5x-4
(2,6)
100
Find the x and y intercept for the given linear equation y=x+5 (must be in correct answer form)
x-int: (-5,0) y-int: (0,5)
100

Are all functions linear?

no

200
Write the linear equation in slope-intercept form. 1/7x+y=-5
y=-1/7x-5
200
Solve for z -3z+1=7
z=-2
200
Solve the system of linear equations using a table, a graph, or algebraically. y=6x-15 y=13-x
(4,9)
200
Find the x and y intercept for the given linear equation -3x+5y=15 (must be in correct answer form)
x-int: (-5,0) y-int: (0,3)
200
Where do you find the slope? What is it's location? Identify the slope and y-intercept -4x+y=17
Directly in front of the x; m=4; y=17
300
Write the linear equation in slope-intercept form. -15x+3y=75
y=5x+25
300
Solve for x 2(1-5x)+4=-8
x=1.4
300
Solve the system of linear equations using a table, a graph, or algebraically. y=5x+3 y=5x+3
Infinitely many solutions
300
Find the x and y intercept for the given linear equation -9x+6y=36 (must be in correct answer form)
x-int: (-4,0) y-int: (0,6)
300
Vivian charges $4 for bracelets and $5 for earrings. Her cost to make x bracelets and y earrings is $60. The equation that represents this problem is 4x+5y=60, solve for the slope.
m=-0.8 or -4/5
400
Write the linear equation in slope-intercept form. -10x-11y=-22
y=-10/11x+2
400
Solve for x 1/2(10x-26)+4x=43
x=5.88 ; or 5 8/9
400
Solve the system of linear equations using a table, a graph, or algebraically. -40x+5y=15 y=8x+3
Infinite amount of solutions
400
Find the x and y intercept for the given linear equation 7x+8y=56 (must be in correct answer form)
x-int: (8,0) y-int: (0,7)
400
What are the three different types of solutions when solving systems of linear equations? What do each mean in detail?
One solution: There is only one solution to the answer, only one place where the two lines intersect. No solution: The lines are parallel and never intersect, therefore never having a place where they meet. The slopes are the same, different y intercept. Infinitely many solutions: The two lines lay on top of one another, they will always be touching, therefore an infinite amount of solutions. Same equations.
500
Write the linear equation in slope intercept form. x-1/4y=7
y=4x-28
500
Solve for F C=5/9(F-32)
F=9/5C+32
500
Solve the system of linear equations using a table, a graph, or algebraically. -40x+5y=10 -4x+1/2y=3
No Solutions
500
Find the x and y intercept for the given linear equation -36x-24y=144 (must be in correct answer form)
x-int: (-4,0) y-int: (0,-6)
500
Julie is trying to decide whether to bike up the mountain or the hill,but is tired from her workout from the previous day. The hill has a height of 8 yards and a width of 12 yds. The mountain has a height of 12 yards and a width of 20 yards. Which is easier to climb? Why?
It is easier to climb to mountain because it has a smaller slope.