Name____________________________ Date______________ Period ____________
3 Types of Linear Equations Practice Exam#2
1.) Write the equation for Standard form of a linear equation: ________________________
2.) Write the equation for Point-Slope form of a linear equation:_______________________
In this equation, slope is the letter ____ and the point on the line is
(
,
).
3.) Write the equation for Slope-Intercept form of a linear equation: ____________________
In this equation, slope is the letter ______ and the y-intercept is the letter _____.
4.) Convert y + 6 =
(x + 16) into slope-intercept form.
5.) Convert y = x – 14 to point slope form using (15, -4) as your point.
6.) Convert -2x -9y = 108 into slope-intercept form
7.) Convert y - 2 = - (x + 36) into Standard Form
8.) Convert y + 7 = -4 (x – ) into slope-intercept form
9.) Convert y = - x +
into standard form
10.) Convert -4x + 15y = -75 into point-slope form using (-3,- ) as your point.
11.) Convert y – 6 = (x -63) into standard form
12.) Give 4 solutions (ordered pairs) to the graph below that would fall on the line.
12a.) (
, )
12b.) (
, )
12c.) (
,
)
12d.) (
,
)
13.) Give three solutions to the equation -2x +4y = 24
13a.) (
,
) 13b.) (
,
) 13c.) (
,
)
14.) Give three solutions to the equation y +2 = -5(x + 2)
14a.) (
,
) 14b.) (
,
) 14c.) (
,
)
15.) Convert -4x + 5y = 12 into point-slope form when x = -4 (must find y-coordinate to solve)
16.) Write the equation of the horizontal line that passes through the point (2,-5).
17.) Write the equation of the vertical line that passes through the point (-8,0)
Graph the following equations:
18.)
19.)
-x -3y = -12
20.)
y= x-2
21.)
X = -6
y -3 = 6(x-3) (y-int is off this grid
so find points of this line
and graph)
22.)
23.)
Write equation using
Write equation using
Slope-int form
24.)
point-slope form
25.)
Write equation using slope-int
Write equation using point-slope
form and convert to standard
form and convert to standard
form.
form.
Create the equation of the line created in these word problems. You will be presented with :
1.) 2 ordered pairs
2.) An ordered pair and the slope
3.) The slope and the y-int
25-26.) Steve is starting a Lyft Taxi Company in Murrysville in 2015. He bought 6 cars valued
at a total of $60,000. If after he pays his employees and all his bills, he can still create $5,500
profit for the company per month, how many months will it take him to pay off the cars?
27-28) The cost at the parking garage in a city that you are visiting for business is a base fee
plus $1.75 per hour that you park. You paid $20.25 for 7 hours in the garage. The garage
stops charging you after you have parked there for eight hours. If you have to work for 3
weeks of in this city and park at this garage and you work a typical 9 am -5 pm job, how much
would you pay as a total at the end of the 3 week trip?
29-30) Joey is on a diet. After 2 weeks on the diet, he had lost 12 pounts. After 7 weeks, he
had lost 35 pounds. How much weight will he have lost after one year?