Name_______________________#
Date_____________Period_______
Unit 4 Review Writing Linear Equations and Inequalities
Write an equation of the line in slope-intercept form for #1 - 5.
____________________(1)
m = -3 and y – intercept = 12
____________________(2)
passes through the point (0, -4) and m = 3
____________________(3)
passes through the points (10, 0), (-20, -15)
____________________(4)
Write an equation of the line that is parallel to the line
1
𝑦 = − 3 𝑥 + 4 and passes through the point (6, -3)
____________________(5)
Write an equation of the line shown.
Write an equation of the line in standard form for #6 - 10.
2
____________________(6)
slope = − 5, b = -3
____________________(7)
passes through the point (-3, 6) and m = −
____________________(8)
passes through the points (3, -5), (6, -1)
____________________(9)
Write an equation of the line that is perpendicular to
4
2
3
the line 𝑦 = 3 𝑥 − 10 and goes through the point (-12, 8)
____________________(10)
Write an equation of the line shown.
____________________(11)
Write the standard form of the equation of the
horizontal line through (-3, 7).
____________________(12)
Write the standard from of the equation of the
vertical line through (6, -8).
____________________(13)
Write an equation in point-slope form of the line that
2
passes through (7, -1) and has a slope of − 3.
____________________(14)
Write an equation in point-slope form of the line that
passes through (7,-1) and (-3, 2).
____________________(15)
Write an inequality whose solution is
shown in the graph
____________________(16)
Write an inequality whose solution is
shown in the graph
____________________(17)
In 1991, the population of Kenosha, Wisconsin, was
132,000. Between 1991 and 1996, the population of
Kenosha increased by approximately 2000 people per
year. Write an equation that models the population y
of Kenosha in terms of x, where x represents the
number of years since 1991.
At sea level, the speed of sound in air is linearly related to the air temperature.
If it is 35°C, sound will travel at a rate of 352 meters per second. If it is 15°C,
sound will travel at a rate of 340 meters per second.
____________________(18a)
Write a linear equation that models speed of sound s in
terms of air temperature T.
____________________(18b)
How fast will sound travel at sea level if it is 25°C
outside?
____________________(19)
You are a car dealer. You have $1,408,000 available to
purchase compact cars and sport utility vehicles for your lot. The compact car costs
$11,000 and the sport utility vehicle costs $22,000. Let x represent the number of
compact cars and let y represent the number of sport utility vehicles you purchase. Write
an inequality that models the different numbers of compact cars and sport utility vehicles
that you could purchase.
For #20 – 22 use the table that shows the number of cases of mumps in the United States
for the years 1995 to 2003.
(20)
Draw a scatter plot of the data
____________________(21)
Write the slope-intercept
form of an equation of the line of best fit.
____________________(22)
Predict the number of
cases of mumps in the United States in the year 1990.
For #23 – 25 use the table that shows the average and maximum longevity of various
animals in captivity
(23)
Draw a scatter plot and the line of best fit for
the data.
____________________(24)
Make a linear model
of the average and maximum longevity of the various
animals in captivity.
____________________(25)
Estimate the average
life expectancy of an animal that lives a maximum of 80
years.