Math Practice Online: MathScore.com

Math Practice Online > free > lessons > Minnesota > 9th grade > Applied Linear Equations 2

If your child needs math practice, click here.

These sample problems below for Applied Linear Equations 2 were generated by the MathScore.com engine.

Sample Problems For Applied Linear Equations 2

Complexity=1, Mode=perp-m

1.   What slope is perpendicular to slope -2?
2.   What slope is perpendicular to slope -3/2?

Complexity=1, Mode=para-perp

Determine if the lines are parallel, perpendicular, or neither.
1.  
-x - 2y = 0
x + 2y = 2
The lines are:

2.  
y = - 5x
y = x - 3
The lines are:

Complexity=1, Mode=makeline

1.   In slope-intercept form, write the equation of the line that intersects (1, -2) and is perpendicular to y = -x + 5
Equation:
2.   In slope-intercept form, write the equation of the line that intersects (3, 1) and is parallel to


Equation:

Answers

Complexity=1, Mode=perp-m

#ProblemCorrect AnswerYour Answer
1What slope is perpendicular to slope -2?
Solution
To calculate the perpendicular slope, flip it and reverse the sign.
-2

Get the reciprocal
- 1
2

Reverse the sign
1
2

#ProblemCorrect AnswerYour Answer
2What slope is perpendicular to slope -3/2?
Solution
To calculate the perpendicular slope, flip it and reverse the sign.
- 3
2

Get the reciprocal
- 2
3

Reverse the sign
2
3

Complexity=1, Mode=para-perp

Determine if the lines are parallel, perpendicular, or neither.
#ProblemCorrect AnswerYour Answer
1
-x - 2y = 0
x + 2y = 2
 The lines are:

Solution
Slope analysis of -x - 2y = 0
The equation is in standard form, ax + by = c.
The slope is calculated as m = -a/b
Therefore, the slope is -1/2

Slope analysis of x + 2y = 2
The equation is in standard form, ax + by = c.
The slope is calculated as m = -a/b
Therefore, the slope is -1/2

The slopes are the same, so the lines are parallel.
#ProblemCorrect AnswerYour Answer
2
y = - 5x
y = x - 3
 The lines are:

Solution
Slope analysis of y = - 5x
The equation is in slope-intercept form, y = mx + b
Therefore, the slope is -5

Slope analysis of y = x - 3
The equation is in slope-intercept form, y = mx + b
Therefore, the slope is 1

The slopes are not the same and don't multiply to -1, so the lines are neither parallel nor perpendicular.

Complexity=1, Mode=makeline

#ProblemCorrect AnswerYour Answer
1In slope-intercept form, write the equation of the line that intersects (1, -2) and is perpendicular to y = -x + 5
Equation:
Solution
The slope of the line given is -1
The perpendicular slope is 1/1
With this perpendicular slope and intersection point, now derive the equation as you did in Applied Linear Equations 1.
y = x - 3
#ProblemCorrect AnswerYour Answer
2In slope-intercept form, write the equation of the line that intersects (3, 1) and is parallel to


Equation:
Solution
The slope of the line given is 3/5
Parallel lines have the same slope.
Given this slope and intersection point, now derive the equation as you did in Applied Linear Equations 1.

MathScore.com

Copyright Accurate Learning Systems Corporation 2008.
MathScore is a registered trademark.