Linear Equations
Solving equations
Geometry
x and y intercepts
Challenge questions
100
The linear equations in slope-intercept form.
-6x+y=-17
y=6x-17
100
The solution of the equation
8x-6x-25=-35
What is
x=-5
100
The volume of a cone with a radius of 4cm and the height of 10cm, to the nearest cubic unit.
What is 251cm3
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
The linear equation in slope-intercept form
1/7x+y=-5
y=-1/7x-5
200
The solution for the equation -3z+1=7
What is z=-2
200
The transformation that is shown 
What is a reflection over the y-axis.
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
The slope and y-intercept of the equation
-4x+y=17
What is the slope = 4 and the y-intercept is (0,17)
300
The equation in standard form is
y=-2x+6
2x+y=6
300
The solution for the equation
2(1-5x)+4=-8
What is
x=1.4
300
The volume of the figure shown to the nearest cubic unit. Hint:
(4/3pir^3)
What is 38,792 cm3
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
The slope of the line
2x+4y=8
What is
-1/2
400
The solution for the equation
1/2(10x-22)+4x=43
1/2(10x-26)+4x=43
What is x = 6
400
The angle and direction of the rotation shown
What is 90 degrees clockwise.
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
The equation of the line with the slope
1/2 and through the point (4,1).
What is
y=1/2x-1
500
The solution of the equation
5x-4(2x+1)=1-3x+4
What is No Solution
500
Cylinder A has a radius of 3 and a height of 10. Cylinder B has a diameter of 12 and a height of 5.
Cylinder B is this many times larger than A.
What is 2 times larger.
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.