Download Name Mixed Review Sections 5

CT Algebra 1-1
Ch 45 Test In-class Review 2016
Name ________________________________
1. Write the equation in slope-intercept form using the given information.
a. Slope is -9 and the y-intercept is -7
b. m = 2 and (12, -4)
3
Equation_____________________
Equation_____________________
c. (8, -6) and (-5, -6)
d. (8, -8) and (4, -9)
Equation_____________________
Equation_____________________
e. Slope is undefined and (-3, 15)
f. (2, -4) and (3, -8)
Equation_____________________
Equation_____________________
g. m = -9 and the y-intercept is 0
h. The slope is 7 and (-6, 4)
Equation_____________________
Equation_____________________
1a. Write the equation in slope-intercept form using the given information.
a. Slope is -4 and the y-intercept is -2
b. m = 3 and (10, -6)
5
Equation_____________________
Equation_____________________
c. (-2, 5) and (-3, 7)
d. (1, 9) and (-4, 9)
Equation_____________________
Equation_____________________
e. Slope is undefined and (8, -3)
f. (4, -6) and (8, -8)
Equation_____________________
Equation_____________________
g. The slope is 6 and (-3, -1)
h. m = -4 and the y-intercept is 0
Equation_____________________
Equation_____________________
2. Write each equation in slope-intercept form using the information given:
a.
Equation_____________________
b.
Equation_____________________
c.
Equation_____________________
d.
e.
f.
Equation_____________________
Equation_____________________
Equation_____________________
3. Overnight a huge blizzard dumped snow on the ground. When the sun comes out, it melts. The graph below
shows the relationship between the amount of snow on the ground and the number of hours it is melting.
a) Identify and interpret the slope.
Sn
ow
on
the
gro
un
d
(in
ch
es)
m = _______; Interpret:____ __________________
__________________________________________
b) Identify and interpret the y-intercept.
y-intercept (
,
); Interpret:____________
_______________________________________
c) Identify and interpret the x-intercept.
x-intercept (
,
); Interpret:____________
_______________________________________
2a. Write each equation in slope-intercept form using the information given:
a.
b.
c.
Equation_____________________
Equation_____________________
Equation_____________________
a.
b.
c.
Equation_____________________
Equation_____________________
Equation_____________________
3a. The linear function to the right shows the relationship between the number of hours that a candle
burns and the height of the candle.
a) Identify and interpret the slope.
m = _______; Interpret:____ __________________
__________________________________________
b) Identify and interpret the y-intercept.
y-intercept (
,
); Interpret:____________
_______________________________________
c) Identify and interpret the x-intercept.
x-intercept (
,
); Interpret:____________
__________________________________________
4. Graph:
3
a. y =
x+2
4
d.
y – 2 = -4(x + 1)
b.
y = -5x
c.
y = -3
e.
-3x – y = 10
f.
-4x + 2y = 8
5. Write the equation in Standard Form: Ax  By  C
a. y = 5x – 9
b. y = -1/4x + 3
c.
y = 2/5x – 6/5
6. Your choir is selling cookies and brownies to raise money for a trip to Florida. Each cookies costs $2 and each
brownies costs $3. You made a total of $936 on your sales
Write an equation in standard form representing this situation. Let x be the number of cookies and y be the
number of brownies.
4a. Graph:
1
a. y   x  4
6
d. 7 x  2 y  10
b.
x  5
c.
e.
y  1  3( x  2)
f. -2x – 3y = 6
5a. Write the equation in Standard Form: Ax  By  C
a. y = -3x + 7
b. y = 2/3x – 4
c.
y  3 / 4x
y = 3/4x – 1/4
6a. Your school is sponsoring a pancake dinner to raise money for a field trip. The cost of an adult
ticket is $25 and the cost of a child’s ticket is $12. You make a total of $3600.
Write an equation in standard form representing this situation. Let x represent the number of adult’s ticket and y
represent the number of children’s ticket.
7. To lease a car, you will pay a one-time deposit of $1850 plus $625 per month. Let x represent the number of
months you lease the car and y the total cost.
a. Write the equation of the line in
slope intercept form that models this
situation.
8.
b. What would be the cost of
leasing the car for a year?
c. You have $10000 in savings for leasing
the car, how long will it last?
It took Joseph 7 months to save $675. In 15 months he had saved $1275.
a) Identify your variables.
b) Use the context of the problem to write the two ordered
pairs.
c) What is the slope of the line that models this situation?
Include the label.
d) Write a linear equation in point slope form that models
the situation above.
e) Write a linear equation in intercept form that models the f) What is the y-intercept of this line? Include the label.
situation above.
g) How much will Joseph have in 2 years?
h) How many months will it take for him to have $1500?
7a. To rent an apartment, you will pay a one-time deposit of $1250 plus $825 per month. Let x represent the
number of months you rent the apartment and y the total cost.
a. Write a linear equation in
intercept form that models the
situation above.
b. What would be the cost of
renting the apartment for a year?
c. You have $8000 in savings for
apartment rental, how long will it last?
8a.
You have decided to take drum lessons so that you can join a band. There is a cost per lesson plus a onetime fee. The cost for 10 lessons is $125 and the cost of 16 lessons is $317.
a) Identify your variables.
b) Use the context of the problem to write the two ordered
pairs.
c) What is the slope of the line that models this situation?
Include the label.
d) Write a linear equation in point slope form that models
the situation above.
e) Write a linear equation in intercept form that models the f) What is the y-intercept of this line? Include the label.
situation above.
g) How much will 20 lessons cost?
h) How many lessons can be taken with $1500?