Algebra homework for Sept 16 2013 ■ In the bank I have 45$. I pay the phone bill for 20, deposit...

Algebra homework for Sept 16 2013

■ 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.


■ Combine like terms 4(-2s + 3) -3x - 5■ 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


■ Combine like terms 4x+3- 2(-x-2)■ 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

n 8y = 4

n 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■ 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?


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.


■ 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)


n Describe the solutions of 7 < x + 4.2. Graph h ≥ –4.75

3. 23 < –2(3 – t)

4.


n 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?

n

n 3y – 21 < 4 – 2y

4. 3(p – 1) = 3p + 2


n 2(3z + 1) = –2(z + 3)

3. 3(p – 1) = 3p + 2

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?

4. 2y – 2 ≥ 2(y + 7)


n A pitcher holds 128 ounces of juice. What are the possible numbers of 10-ounce servings that one pitcher can fill?

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?

Solve each inequality and graph the solutions.

2. –5x+5 ≥30 3. 8x +8 < –24


■ t < 5t + 24■ 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)

Algebra homework due Oct 17, 2011Evaluate each expression for a = 2,

b = –3, and c = 8.

1. a + 3c

2. ab – c

3.

4.

Solve each inequality and graph the solutions.

■ 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 inequality ?

■ 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 for Oct 18 , 2011


1.What is the inequality shown below?2. Solve

3. Solve the compound inequality and graph the solution.

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 , 2013

1. Solve and graph

2. Solve 2x-4>3(x-2)

3. Solve and graph 5(2 – b) > 52.

Algebra homework due Dec 3, 2013

■ Solve 3(p – 1) = 3p + 2

■ Solve

■ Generate ordered pairs for the function y = x + 3 when x = –2, –1, 0, 1, and 2. Graph the ordered pairs.

Algebra homework due Dec 4, 2013Solve and graph.

-2x+8< -12 and

2. Give the domain and range of the relation.

x/3+5>2 sorry it looks ugly but that says x over 3 plus 5 is greater than 2

Algebra homework for Dec 5, 2013Identify 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.

1. Generate ordered pairs for the function

y = x + 3 for x = –2, –1, 0, 1, and 2. Graph the ordered pairs.

Algebra homework for Dec 6, 2013

2. Give the domain and range of the relation.


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.

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)}

■ 1. 2(3z + 1) = -2(z + 3)

■ 2. Give the x intercept for the equation below

6x -9= -3y

Algebra homework for Nov 29, 2012

Solve each equation for y and give the slope and y intercepts.

3. 4x + 2y = 10 4. 3x + 2 = 6y

■ Solve 2x – 3y = 12 for y.

Algebra homework due Nov 30, 2012

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)


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, 2012Write 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

1. Generate ordered pairs for the functiony = 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, 20121. 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

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 DUE Dec 18, 2013

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


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 slope-intercept form and do detective work.

4. y – 5 = 3(x + 2)

5. 3x + 4y + 20 = 0

Algebra homework due Jan 8,2014

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.

Homework due Jan 9, 2014

■ 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 10, 2014Write 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.

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?

Algebra homework for Jan 15, 2014

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?


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 for Dec 14 , 2012

1. Graph . 5x + 2y ≥ 10

y = x + 2

2. Give two ordered pairs that are solutions and two that are not solutions.

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);


Solve each system by graphing.

1. 2x + y = 5

y = x - 1

2. –3x + y = –1

x – y = 4

■ Solve each system using substitution

■ 1

■ 2.

Algebra homework for Jan 29, 2012

Algebra homework DUE Jan 30, 2013

■ Solve each system using substitution

■ 1

■ 2.


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

■ 1

■ 2.

Algebra homework for Feb 5, 2012

■ Solve each system using elimination or substitution

■ 1

■ 2.

Homework due Feb 12, 2013

n 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.

n Solve system by substitution

n 2. 3.

–x + y = 3

y = x – 4 2x + y = 1

y = –2x + 5


Solve any way that you can

n 2.

3.

2x + y = 25

3y = 2x – 13

y = 2x

3x – 2y = –1

x = 6y – 11

■ Solve

■ 1.

■ 2.


5x – y – 1 = 0

y = 5x – 1

x – y – 3 = 0

y = x – 3

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?

Algebra homework for Feb 15, 2013

Hint -Write a system. Use l for the number of lilies and t for the number of tulips.

Algebra homework for February 26, 2013

Simplify.

1.

2.

3.


Simplify.

1.

3.

2.

4.

5. (2.5ab + 14b) – (–1.5ab + 4b)

SOLVE


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

1. 5r2s2(r – 3s)

Multiply.

2. 3ab(5a2 + b)

3. (3x3)(6x2)

4. (3mn2) (9m2n)

5. 6pq(2p – q)


Solve the system by elimination.

–5x + 2y = 32

2x + 3y = 10

1.

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?


Simplify

1. 2.

3. 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, 20121. 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.

Multiply.

1. (2x – 7)(x2 + 3x – 4)

2. 6mn(m2 + 10mn – 2)

3. (2x – 5y)(3x + y)

Algebra homework for April 2, 2012

4. The length of a rectangle is 4 meters shorter than its width.

Write a polynomial that represents the area of the rectangle.

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).



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 171. 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)

y < –3x + 2

y ≥ x – 1

3. Find the solution for the given system

4. What is a direct variation?


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


3. Order the functions from narrowest graph to widest.

f(x) = –x2, g(x) = x2

• Is y = –x – 1 quadratic? Explain.

• Graph y = 1.5x2.

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?


Simplify.

Multiply 3. (10 + b)(10 – b)

Solve each quadratic equation by factoring.

4. x2 + 16x + 48 = 05. x2 – 11x = –24

1. 2.

Graph y = 3x2 – 6x + 1.


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 3Complete the square to form a

perfect square trinomial.

1. x2 +11x +

Solve by completing the square.

2. x2 – 2x – 1 = 0

3. 3x2 + 6x = 144Compare the graph of the function with the graph of f(x) = x2.

Algebra homework for May 3, 2012 due on May 4

Algebra homework for Sept 16 2013 ■ In the bank I have 45$. I pay the phone bill for 20, deposit...

Documents

Transcript of Algebra homework for Sept 16 2013 ■ In the bank I have 45$. I pay the phone bill for 20, deposit...