Transcript Algebra homework for Sept 13 2011

Algebra homework for Sept
16 2013
1.
2.
3.
4.
In the bank I have 45$. I pay the phone bill for
20, deposit 80$, pay the electric bill for 75, and
the water for 30. How much $ do I have?
Give an example of the distributive property.
I am Tom’s age times 3 increased by two.
Please write an algebraic expression and graph
when Tom’s ages were 1, 3, 5
Describe how you would find the square root of
28.
Algebra homework for Sept
19 2013
1. Combine like terms
4(-2s + 3) -3x - 5
2.
3.
4.
A running back carries for 9 yds on his first
carry. The 2nd he loses 3 yards. The 3rd he
loses 4 yards. How far did he run?
Translate how far Frank can run to an
algebraic expression. Joe runs 5 miles less
than Tim.. Tim runs 15 miles. Frank runs 2
times as far as Joe.
Describe how you would do they additive
inverse property.
Algebra homework for Sept
20, 2011
Algebra homework for Sept
23
2013
1. Combine like terms 4x+3- 2(-x-2)
2.
3.
4.
What is the difference between an
expression and an equation?
The additive inverse property says what?
Solve
x+8 = -10
Algebra homework for Sept 24,
2013
1. 0.75 = n + 0.6
2. –5 + c = 22
3. This year a high school had 578 sophomores
enrolled. This is 89 less than the number
enrolled
last year. Write and solve an
equation to find the number of sophomores
enrolled last year.
4.
5.
Algebra homework for Sept 26,2013
1.
8y = 4
2.
When solving a 2 step equation, what needs to be done
1st?
3.
4.
5. A person's weight on Venus is about 9/10 his or her weight
on Earth. Write and solve an equation to find how much
a person weighs on Earth if he or she weighs 108
pounds on Venus.
Algebra homework due Oct 2, 2013

1. If 3b – (6 – b) = –22, find the value of 7b.
2. Josie bought 4 cases of sports drinks for an
upcoming meet. After talking to her coach,
she bought 3 more cases and spent an
additional $6.95 on other items. Her receipts
totaled $74.15. Write and solve an equation
to find how much each case of sports drinks
cost.
3.

4 x – (12 – x) = 38


Algebra homework for Oct 3,
2013
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Solve each equation.
1. 7x + 2 = 5x + 8
2. 4(2x – 5) = 5x + 4
3. 6 – 7(a + 1) = –3(2 – a)
4. 4(3x + 1) – 7x = 6 + 5x – 2
5. A painting company charges $250
base plus $16 per hour. Another
painting company charges $210
base plus $18 per hour. How long is
a job for which the two companies
costs are the same?
Algebra homework due Oct 4,
2013
1. 13 < x + 7
2. –6 + h ≥ 15
 3. 6.7 + y ≤ –2.1
 4. A certain restaurant has room
for 120 customers. On one night,
there are 72 customers dining.
Write and solve an inequality to
show how many more people can
eat at the restaurant.
Algebra homework due Oct 5,
2013
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1. t < 5t + 24
2. 5x – 9 ≤ 4.1x – 81
3. 4b + 4(1 – b) > b – 9
4. 2y – 2 ≥ 2(y + 7)
5. 2(–6r – 5) < –3(4r + 2)
Algebra homework due Oct 8,
2013
1. Describe the solutions of 7 < x + 4.
2. Graph h ≥ –4.75
3. 23 < –2(3 – t)
4.
Algebra homework due Oct 9,
2013
1.
A video store has two movie rental plans.
Plan A includes a $25 membership fee
plus $1.25 for each movie rental. Plan B
costs $40 for unlimited movie rentals. For
what number of movie rentals is plan B
less than plan A?
2.
3.
3y – 21 < 4 – 2y
4. 3(p – 1) = 3p + 2
Algebra homework due Oct
10, 2013
1. 2(3z + 1) = –2(z + 3)
2. Rick bought a photo printer and supplies for
$186.90, which will allow him to print photos for
$0.29 each. A photo store charges $0.55 to print
each photo. How many photos must Rick print
before his total cost is less than getting prints
made at the photo store?
3. 3(p – 1) = 3p + 2
4. 2y – 2 ≥ 2(y + 7)
Algebra homework due Oct
11, 2013
1.
A pitcher holds 128 ounces of juice. What
are the possible numbers of 10-ounce
servings that one pitcher can fill?
Solve each inequality and graph the
solutions.
2. –5x+5
≥30
3. 8x +8 < –24
4. A soccer coach plans to order more
shirts for her team. Each shirt costs
$9.85. She has $77 left in her
uniform budget. What are the
possible number of shirts she can
buy?
Algebra homework due Oct 16,
2011
t < 5t + 24
2.
A taxi cab charges a flat rate of 10$
and an additional charge of .15
cents per mile. Write an equation
or inequality and solve for the cost
if I go less than 20 miles in the cab.
3. 4b - 3(1 – b) > b – 4
4. 2y – 2 ≥ 3(y + 7)
5. 2(–6r – 5) < –3(4r + 2)
1.
Algebra homework due Oct
17, 2011
Evaluate each expression for a = 2,
b = –3, and c = 8.
1. a + 3c
2. ab – c
Solve each inequality and graph the solutions.
3.
4.
Algebra homework for Oct 18 ,
2011
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1. Ken buys 88 tickets at a carnival. If each
ride at the carnival costs 3 tickets, what is the
greatest number of rides Ken can go on?
2. What is a true solution for x in the
3
7

x  2 ?
inequality
4
3. Which algebraic statement is equivalent to
“five more than a number is at least twelve?”
4. Taylor works in the shipping department
loading shipping crates with boxes. Each
empty crate weighs 125 lb. How many boxes,
each weighing 40 lb, can Taylor put in the
crate if the total weight is to be no more than
725 lb?
Algebra homework due Oct
19, 2012
1.What is the inequality shown below?
2.
Solve
3(w  2)  4w  5w  2(w  3)  w
3.
Solve the compound inequality and graph the
solution.
6  4 x  2  6
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
The average of Jim’s two test scores must be at least
90 to make an A in the class. Jim got a 95 on his
first test. What grades can Jim get on his second
test to make an A in the class?
Algebra homework due Nov,12 2013
Solve
each equation for y.
1. 2x + y = 3
2.
–x + 3y = –6
3.
4x – 2y = 8
4.
Generate ordered pairs for

using x = –4, –2, 0, 2 and 4.
Algebra homework due Nov 13, 2013
1.
3(p – 1) = 3p + 2
2.
Solve
3.
Generate ordered pairs for the function y
= x + 3 when x = –2, –1, 0, 1, and 2.
Graph the ordered pairs.
Algebra homework due Nov 14,
2013
1. Solve and graph
2. Solve 3(w  2)  4w  5w  2(w  3)  w
3. Solve and graph 5(2 – b) > 52.
Algebra homework due Nov
15, 2013
1. Solve and graph.
-2x+8< -12 and
x
> 2
5 _
3
2. Give the domain and range of the
relation.
Algebra homework for Nov 14,
2012
Identify the independent and dependent
variables. Write a rule in function
notation for each situation.
1. A buffet charges $8.95 per person.
2. A moving company charges $130 for
weekly truck rental plus $1.50 per mile.
Evaluate each function for the given input
values.
3. For g(t) =
, find g(t) when t = 20
and when t = –12.
4. For f(x) = 6x – 1, find f(x) when x = 3.5
and when x = –5.
Algebra homework for Nov 16,
2012
1. Generate ordered pairs for the
function
y = x + 3 for x = –2, –1, 0, 1, and 2.
Graph the ordered pairs.
Algebra homework due Nov
27, 2012
1. The function y = 3x describes the
distance (in inches) a giant tortoise
walks in x seconds. Graph the
function. Use the graph to estimate
how many inches the tortoise will walk
in 5.5 seconds.
2. The fastest recorded Hawaiian lava
flow moved at an average speed of 6
miles per hour. The function y = 6x
describes the distance y the lava moved
on average in x hours. Graph the
function. Use the graph to estimate how
many miles the lava moved after 5.5
hours.
Algebra homework due Nov
28, 2012
1. Solve 2x – 3y = 12 for y.
2. Graph
for D: {–10, –5, 0, 5, 10}
Tell whether each set of ordered pairs
satisfies a linear function. Explain.
3. {(–3, 10), (–1, 9), (1, 7), (3, 4), (5, 0)}
4. {(3, 4), (5, 7), (7, 10), (9, 13), (11, 16)}
Algebra homework for Nov 29,
2012
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1. 2(3z + 1) = -2(z + 3)
2. Solve
3(w  2)  4w  5w  2(w  3)  w
Solve each equation for y.
3. 4x + 2y = 10
4. 3x + 2 = 6y
Algebra homework due Nov
30, 2012
1.
Solve 2x – 3y = 12 for y.
2. Graph
for D: {–10, –5, 0, 5, 10}.
3. The value of y varies directly with x, and
y = –8 when x = 20. Find y when x = –4.
Write an equation in slope-intercept form for
the line through the two points.
4. (–1, 7) and (2, 1)
5. (0, 4) and (–7, 2)
Algebra homework due Dec 4,
2012
Write an equation in slope-intercept form for
the line with the given slope that contains
the given point.
1. Slope = –1;y int=0
2. Slope =
; y int=-2
Write the equation that describes each
line in the slope-intercept form.
3. slope =
, y int = 1/2
4. slope = 3, y-intercept = –2
Algebra homework for Dec 5,
2012
Write the equation that describes each line
in the slope-intercept form.
1. slope = 0, y-intercept =
Write each equation in slope-intercept form.
Then graph the line described by the equation.
2. 6x + 2y = 10
3. x – y = 6
Algebra homework for Dec 6,
2012
1. Generate ordered pairs for the function
y = x + 3 for x = –2, –1, 0, 1, and 2.
Graph the ordered pairs.
Find the x- and y-intercepts, slope.
2. x + 2y = 8
3. 3x + 5y = –15
Solve and do “detective” work
4. –7y – 7x=0
Algebra homework for Dec 7,
2012
1. The relationship between human years and dog
years is given by the function y = 7x, where x is
the number of human years. Graph this function
and give its domain and range.
2. Write an equation that describes the
relationship.
3. Tell whether the equation represents a direct
variation. If so, identify the constant of variation.
3x = –4y
3x + y = 8
Algebra homework for Dec 11,
2012
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Solve each equation.
1. 6 – 7(a + 1) = –3(2 – a)
2. 4(3x + 1) – 7x = 6 + 5x – 2
3. A painting company charges
$250 base plus $16 per hour.
Another painting company
charges $210 base plus $18 per
hour. How long is a job for which
the two companies costs are the
same?
4. For f(x) = 6x – 1, find f(x) when x = 3.5
and when x = –5.
Algebra homework for Dec 12,
2011
Find the slope of the line that passes
through each pair of points.
1. (2, 2) and (–1, 3)
2. (3, 4) and (4, 6)
3. (5, 1) and (0, 0)
4. Why is your teacher the bestest ever??
Algebra homework for Dec 13,
2012
1. You can spend at most $12.00
for drinks at a picnic. Iced tea
costs $1.50 a gallon, and
lemonade costs $2.00 per
gallon. Write an inequality to
describe the situation. Graph
the solutions, describe
reasonable solutions, and then
give two possible combinations
of drinks you could buy.
Algebra homework DUE Dec
18, 2012
Find all detective work info
1. 4x + 2y = 10
2. 3x + 2 = 6y
3. 6x + 2y = 10
4. slope = -3 , (2, 7) is on the line
Algebra homework due Dec
19, 2012
Find the intercepts and the slope of
the line containing each pair of points.
1. (0, 2) and (3, 4)
2. (–2, 8) and
(4, 2)
3. (3, 3) and (12, –15)
Write the following equations in slopeintercept form and do detective work.
4. y – 5 = 3(x + 2)
5. 3x + 4y + 20 = 0
Algebra homework due Dec
20, 2012
1. What if…? At a newspaper
the costs to place an ad for
one week are shown. Write an
equation in slope-intercept
form that represents this
linear function. Then find the
cost of an ad that is 21 lines
long.
Algebra homework due Dec
21, 2012
1. The cost to stain a deck is a
linear function of the deck’s
area. The cost to stain 100,
250, 400 square feet are
shown in the table. Write an
equation in slope-intercept
form that represents the
function. Then find the cost to
stain a deck whose area is 75
square feet.
Algebra homework for Dec 18,
2012
1. Video club A charges $10 for
membership and $3 per movie rental.
Video club B charges $15 for
membership and $2 per movie rental.
For how many movie rentals will the
cost be the same at both video
clubs? What is that cost?
2. Joy has 5 collectable stamps and will buy 2
more each month. Ronald has 25 collectable
stamps and will sell 3 each month. After how
many months will they have the same number
of stamps? How many will that be?
Algebra homework for Dec 14
, 2012
1. Graph
y=x+2
5x + 2y ≥ 10
.
2. Give two ordered pairs that are
solutions and two that are not
solutions.
Homework due Jan 8, 2013
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Write an equation for a line parallel to y
= -2x+4 and passing through the point
(-2,4).
Write an equation of a line
perpendicular to the line 2x+y= 4 and
passing through the point (0,3)
Do all detective work for the problems
below
2y-x =-4
Passing through points (4,1) and (3,-2)
Homework due jan 9, 2013
Write an equation and do all detective
work for the lines described.
1. contains the point (4, –3) and is
perpendicular to y = 4x + 5
2. Is parallel to the line y = 3 and contains the
point (2,4)
3. A caterer charges a $200 fee plus $18
per person served. The cost as a function of
the number of guests is shown in the
graph. 1st, Identify the slope and y-intercept and
describe their meanings.
2nd, Find the cost of catering an event for
200 guests.
Homework due jan 10th, 2013

What does doing “detective”
work mean?
2.Write an equation for the line that
passes through (5, 7) and is parallel
to the line described by y =
x – 6.
3. Show that WXYZ is a
rectangle.
Homework due jan 11,2013
1. Write an inequality to
represent the graph.
2. You can spend at most $12.00 for drinks at a
picnic. Iced tea costs $1.50 a gallon, and lemonade
costs $2.00 per gallon. Write an inequality to
describe the situation. Graph the solutions,
describe reasonable solutions, and then give two
possible combinations of drinks you could buy.
Algebra homework due Jan
23, 2013
One cable television provider
has a $60 setup fee and $80
per month, and the second
has a $160 equipment fee and
$70 per month.
a. In how many months will the
cost be the same? What will
that cost be.
Write an equation for each option. Let t
represent the total amount paid and m
represent the number of months.
Algebra homework due Jan
24, 2013

Tell whether the ordered pair is a
solution of the given system.
1. (–3, 1);
2. (2, –4);
Algebra homework due Jan
26, 2013
Solve each system by graphing.
1. 2x + y = 5
y=x-1
2.
–3x + y = –1
x–y=4
Algebra homework for Jan 29,
2012

Solve each system using
substitution

1

2.
Algebra homework DUE Jan
30, 2013

Solve each
system using
substitution

1
y  2x  8
2 y  6 x  12

2.
x  4y  2
2 x  4 y  12
Algebra homework due Jan
31, 2013
Solve each system by substitution.
1. 2x + y = 5
y=x-1
2.
–3x + y = –1
x–y=4
Algebra homework Feb 1,
2012

Solve each
system using
elimination

2
x

3
y

8
1
x  y  2

2.
y  2x  2
x  2y  6
Algebra homework for Feb 5,
2012

Solve each
system using
elimination or
substitution

y  2 x  3
1
y  x6

2.
3x  4 y  10
5 x  2 y  18
Homework due Feb 12, 2013
1.
Plumber A charges $60 an hour. Plumber B
charges $40 to visit your home plus $55 for
each hour. For how many hours will the
total cost for each plumber be the same?
How much will that cost be? If a customer
thinks they will need a plumber for 5 hours,
which plumber should the customer hire?
Explain.

Solve system by substitution

2.
2x + y = 1
y = –2x + 5
3.
y=x–4
–x + y = 3
Homework due Feb 13, 2013
Solve any way that you can
1.
3.
2x + y = 25
3y = 2x – 13
3x – 2y = –1
x = 6y – 11
2.
y = 2x
Homework due Feb 14, 2013
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Solve
1.
5x – y – 1 = 0
y = 5x – 1

2.
x–y–3=0
y=x–3
Algebra homework for Feb 15,
2013
Sally spent $14.85 to buy 13
flowers. She bought lilies,
which cost $1.25 each, and
tulips, which cost $0.90 each.
How many of each flower did
Sally buy?
Hint -Write a system. Use l for the
number of lilies and t for the number of
tulips.
Homework due Feb 15, 2013
Algebra homework for
February 26, 2013
Simplify.
1.
2.
3.
Algebra homework for
February 27, 2013
Simplify.
1.
2.
3.
4.
SOLVE
5. (2.5ab + 14b) – (–1.5ab + 4b)
Algebra homework for
February 28, 2013
Add or subtract.
1. (r2 + s2) – (5r2 + 4s2)
2. (10pq + 3p) + (2pq – 5p + 6pq)
3. (14d2 – 8) + (6d2 – 2d +1)
4. A farmer must add the areas of two
plots of land to determine the amount of
seed to plant. The area of plot A can be
represented by 3x2 + 7x – 5 and the area
of plot B can be represented by 5x2 – 4x
+ 11. Write a polynomial that represents
the total area of both plots of land.
Algebra homework for March
8, 2012
Multiply.
1. 5r2s2(r – 3s)
2. 3ab(5a2 + b)
3. (3x3)(6x2)
4. (3mn2) (9m2n)
5.
6pq(2p – q)
Algebra homework for March
26, 2012
Solve the system by elimination.
1.
–5x + 2y = 32
2x + 3y = 10
2.
3.
A mixture of adults and children saw Hunger Games
this Saturday in a theater that hold 400 people.
Tickets for adults were 8$ per person and for
children they were 6$ per person with a total of
3040$ worth of tickets sold. How many adults and
students were there?
Algebra homework for March
27, 2012
Simplify
1.
3.
2.
4.
A firework with a 5-second
fuse is launched from a
platform at a speed of 400
feet per second. Its height
is given by –16t2 +400t + 6.
How high will this firework
be when it explodes?
Algebra homework for March
28, 2012
1.
A painter must add the areas of two walls to
determine the amount of paint needed. The
area of the first wall is modeled by 4x2 + 12x + 9,
and the area of the second wall is modeled by
36x2 – 12x + 1. Write a polynomial that
represents the total area of the two walls.
2. (2.5ab + 14b) – (–1.5ab + 4b)
3. (14d2 – 8) + (6d2 – 2d +1)
4. A farmer must add the areas of two plots of land to
determine the amount of seed to plant. The area of plot A
can be represented by 3x2 + 7x – 5 and the area of plot B
can be represented by 5x2 – 4x + 11. Write a polynomial that
represents the total area of both plots of land.
Algebra homework for April 2,
2012
Multiply.
1. (2x – 7)(x2 + 3x – 4)
2. 6mn(m2 + 10mn – 2)
3. (2x – 5y)(3x + y)
4. The length of a rectangle is 4 meters shorter
than its width.
Write a polynomial that represents the area of the
rectangle.
Algebra homework for April 3,
2012
Factor each trinomial.
1. x2 – 11x + 30
2. x2 + 14x – 32
Find product.
3. (3n – 5)(n – 7)
4. Find the slope of the line that
contains (0, –3) and (5, –5).
Algebra homework for April 4,
2012
Write an equation in point-slope form
slope =
; (–2, 4)
Factor each trinomial. Check your
answer.
3. 5x2 + 17x + 6
4. 2x2 + 5x – 12
5. 6x2 – 23x + 7
Algebra homework for April
16, 2012 due on April 17
1. Graph y = 3x2 – 6x + 1.
Detective work- what do you do before
you can graph?
2. Find the domain
and range.
3. Factor 6x2 + 11x + 4 by guess and
check.
Algebra homework for April
17, 2012 due on April 18
1. Factor this trinomial. Check your
answer.
6x2 + 17x + 5
2. Write the equation.
slope =
; (4,-2)
3. Find the solution for the given system
y < –3x + 2
y≥x–1
4. What is a direct variation?
Algebra homework for April
18, 2012 due on April 19
1. Graph the solutions of the linear
inequality.
y  2x – 3
2. Write an inequality to
represent the graph.
3. Solve the system by substitution.
y = 3x
y=x–2
Algebra homework for April
19, 2012 due on April 20
1. Is y = –x – 1 quadratic? Explain.
2. Graph y = 1.5x2.
3. Order the functions from narrowest graph
to widest.
f(x) = –x2, g(x) = x2
4. A tourist accidentally drops her lip balm off
the Golden Gate Bridge. The bridge is 220 feet
from the water of the bay. The height of the lip
balm is given by the polynomial –16t2 + 220,
where t is time in seconds. How far above the
water will the lip balm be after 3 seconds?
Algebra homework for April
23, 2012 due on April 24
Simplify.
1.
Multiply
2.
3. (10 + b)(10 – b)
Solve each quadratic equation by factoring.
4. x2 + 16x + 48 = 0
5. x2 – 11x = –24
Graph y = 3x2 – 6x + 1.
Algebra homework for April
24, 2012 due on April 25
1. Write a polynomial that represents
the area of the yard around the pool
shown below.
Pool
2. Solve the inequality and graph
the solutions.
Note that this
graph looks like
a # line
3. Graph y = 3x2 – 6x + 1.
Algebra homework for April
30, 2012 due on May 1
Graph the quadratic function.
1. y = 2x2 + 6x + 2
Solve using square roots. Check your
answers.
2. x2 – 195 = 1
3. 4x2 – 18 = –9
4. 2x2 – 10 = –12
Algebra homework for May 1,
2012 due on May 2
1. A community swimming pool is in the
shape of a trapezoid. The height of the
trapezoid is twice as long as the shorter
base and the longer base is twice as long
as the height.
The area of the pool is 3675
square feet. What is the
length of the longer base?
Round to the nearest foot.
2. Order the function f(x) = 4x2, g(x) = –5x2, and
h(x) = 0.8x2 from narrowest graph to widest.
Algebra homework for May 2,
2012 due on May 3
Complete the square to form a
perfect square trinomial.
1. x2 +11x +
Solve by completing the square.
2. x2 – 2x – 1 = 0
3. 3x2 + 6x = 144
Compare the graph of the function
with the graph of f(x) = x2.
Algebra homework for May 3,
2012 due on May 4