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Algebra Spring 2020 Test 2 Review

Find the slope of a line with rise 4, run 2

Find the slope of a line with rise -6, runs 3

Find the slope of a line with rise 0, run 12

Find the slope of a line with rise 12, run 0

Find the slope of the line:

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Find the slope of the line between the points (2, 3) and (5, 15)

For each line shown below, tell me whether the slope is positive, negative, 0, or undefined

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b.

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c.

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d.

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Sketch the graph of a line with slope 2 going through the point (1, 3)

Sketch the graph of a line with undefined slope going through (1, 3)

Sketch the graph of a line with slope 0 going through the point (1, 3)

For each of the following problems, find the equation of the line in slope intercept form.

The line has slope 3 and y intercept -2

The line has slope 4 going through the point (1, 2)

The line goes through the points (1, 2) and (5, 14)

Find the equation of the line parallel to $y=3x-5$ through the point (-1, 4)

Find the equation of the line perpendicular to $y=3x-5$ through the point (-1, 4)

Find the equation of the line perpendicular to $y=3$ through the point (1, 12)

For each pair of lines given below mark them as parallel, perpendicular, or neither:

$2x+3y=12$ and $y=\frac{2}{3}x + 8$

$y=\frac{3}{2}x - 2$ and $3y-2x=15$

$y=\frac{1}{2}x-4$ and $2y-x=7$

Classify each statement as True or False:

$3 < 6$

$-6>-2$

$|-6| > |-2|$

Graph the following sets on a number line

$x < 5$

$x \geq 2$

$-1 \leq x \leq 5$

$x < 2$ and $x>-4$

$x<2$ or $x>-4$

Solve the following inequalities and show the solution graphically, algebraically and in interval notation:

$x+5 < 12$

$2x < 16$

$3x+1 \leq 16$

$-2x \geq 8$

$-1 \leq 2x + 1 \leq 13$