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 

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

What is Mrs. Burt's favorite animal?

her dog,  "Higbie"

(@mr.higbie on instagram)

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

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

Identify the slope and y-intercept -4x+y=17

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 

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

Five hats and three scarves cost $99. While three hats and five scarves cost $85.

What does 1 hat cost?  

What does 1 scarf cost?

Hat:  $15

Scarf:  $8

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

-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

-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.

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