Slope
Writing Linear Equations
Solving Systems of Linear Equations
Solving Linear Inequalities
Miscellaneous
100
What is the slope of the line y=2x+6?
The slope is 2.
100
Write the slope-intercept form of the line with slope=3 and y-intercept=-6.
y=3x-6
100
Solve the system of equations.
(4,3)
100
Translate the following into words:
{x|x<67}
"The set of x such that x is less than 67"
100
What is the boundary line for this inequality? Do we shade above the boundary line or below?
x+3y<=-3
Boundary line: y=-(1/3)x-1
Shade below.
200
Find the slope of a line parallel to the given line:
y=3/2x-13
The slope is 3/2
200
Write the slope-intercept form of the equation of the line 2x+7y=1
y=(-2/7)x+1
200
Solve the system:
y=2x
7x+8y=4
(4/23, 8/23)
200
Express x>8 using both set-builder and interval notation.
Set builder: {x|x>8}
Interval: (8, infinity)
200
Solve the following equation for r:
kr+2c=9.
r=(9-2c)/k
300
Find the slope of a line perpendicular to y=-2/3x+2
3/2
300
Write the slope-intercept form of the equation of the line through the point (3,4) with a slope of -2.
y=-2x+10
300
How do we classify a system of equations that has infinitely many solutions?
Consistent and dependent
300
Solve the inequality and write the solution using both set-builder and interval notation:
-2x+8>=10
x<=-1
Set-builder: {x|x<=-1}
Interval: (-infinity, -1]
300
How do we show what the solution to a system of inequalities is on a graph?
We shade the region in which the two inequalities overlap.
400
Find the slope of the line passing through the points (5,3) and (-6,-7).
10/11
400
Write the slope-intercept form of the equation of the line passing through the points (0,-2) and (1, -2).
y=-2
400
When you reverse the digits in a certain two-digit number, you decrease its value by 27. Find the number if the sum of its digits is 5.
The number is 41
400
Solve the inequality and write the solution using both set-builder and interval notation:
(-4/3)x+2<6.
x>-3
Set-builder: {x|x>-3}
Interval: (-3, infinity)
400
What is the relationship between the slopes of perpendicular lines?
They have opposite reciprocal slopes.
500
What is the slope formula?
m = (y2-y1)/(x2-x1)
500
Write the slope intercept form of a line that is perpendicular to y=-7x+2 and passes through the point (2,1/7)
y=(1/7)x-1/7
500
Solve by elimination and classify the system:
2x+4y=6
2x+4y=17.
No solution: Inconsistent
500
Solve the inequality and write the solution using both set-builder and interval notation.
6(1-x)<4
x>1/3
Set-builder: {x|x>1/3}
Interval: (1/3, infinity)
500
Solve the equation for k.
3(2c+2k+5)=2(7+8k)
k=(6c+1)/10