3 EASY assignments for Algebra each one doesnt take longer than 20 minutes to finish. I need it as soon as possible.

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Intermediate Algebra Math Beginning 105

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Math 105 Intermediate Algebra

Name___________________________________

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HW #4 Each worth 2 points

Date________________

Perform the indicated operation.

1) g(n) = 4n – 2

h( n) = n 2 + 1

g

(9)

Find

h

2) f (t) = -3t + 3

g( t ) = t 3 – t 2

Find ( f × g)(1)

3) h(t) = 2t + 4

g(t) = 2t

Find (h + g)(-9)

4) f (n) = -n + 5

g(n) = 4n + 4

Find (5 f – 4g)(-5)

()

5) h(a) = 2a – 1

g(a) = a – 4

Find (h g)(10)

Solve each system by graphing.

6) 8 = -2 y + x

2= y+x

7) 5x + 4 = – y

0 = 3 y – 12 – 9x

y

-5

-4

-3

-2

y

5

5

4

4

3

3

2

2

1

1

-1

1

2

3

4

5 x

-5

-4

-3

-2

-1

1

-1

-1

-2

-2

-3

-3

-4

-4

-5

-5

2

3

4

5 x

Solve each system by substitution.

8) y = -6x – 12

y = 6x

9) -11x – 2 y = -14

y = -11x + 18

10) 7x – y = 26

7x + y = 16

11) 11x + y = -33

-3x – 4 y = -32

Worksheet by Kuta Software LLC

-1-

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Solve each system by elimination.

12) -6 y = -8 – 4x

-14 y + 4x + 24 = 0

12

7

y=- x

17

17

-12 y = -31 + 7x

14) 1 –

13) -x + y = -7

-31 – y = -5x

1

4

y=- x

5

5

14 = -16x + 6 y

15) 1 –

16) The school that Eugene goes to is selling tickets to a choral performance. On the first day of ticket

sales the school sold 2 adult tickets and 8 student tickets for a total of $56. The school took in $100

on the second day by selling 7 adult tickets and 12 student tickets. Find the price of an adult ticket

and the price of a student ticket.

17) Eduardo and Matt are selling cheesecakes for a school fundraiser. Customers can buy pecan

cheesecakes and apple cheesecakes. Eduardo sold 4 pecan cheesecakes and 6 apple cheesecakes for

a total of $82. Matt sold 9 pecan cheesecakes and 12 apple cheesecakes for a total of $171. Find the

cost each of one pecan cheesecake and one apple cheesecake.

18) The water park is a popular field trip destination. This year the senior class at High School A and the

senior class at High School B both planned trips there. The senior class at High School A rented and

filled 13 vans and 12 buses with 747 students. High School B rented and filled 13 vans and 6 buses

with 471 students. Every van had the same number of students in it as did the buses. How many

students can a van carry? How many students can a bus carry?

Worksheet by Kuta Software LLC

-2-

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MATH 105 – Intermediate Algebra

Name___________________________________

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HW #6 – Worth 34 points

Date________________

Solve each system. (Worth 6 points)

8

7

y+z=3

15

3

3

5

3

– x- y+ z=

2

2

2

35

1

3

23

– x – y – 4z =

2

2

10

1) x –

Solve. (Each worth 6 points)

2) A cash register contains a total of 95 coins consisting of pennies, nickels, dimes and quarters. There

are only 5 pennies and the total value of the coins is $12.05. Also there are 5 more quarters than

dimes. How many of each coin is in the register?

3) To make ends meet, Ms. Farnsby works three jobs. Her total income last year was$48,000. Her

income from teaching was just $6000 more than her income from house painting. Royalties from her

textbook sales were one-seventh of the total money she received from teaching and house painting.

How much did she make from each source last year?

Solve each system of equations. (Each worth 4 points)

4) x 2 + y 2 + 34x + 3 y + 10 = 0

2x + y = 2

6)

5) x 2 – y 2 – 10 y – 89 = 0

x 2 + y 2 + 10 y – 39 = 0

1 1

+ =5

x y

1 1

– = -3

x y

7) A small television is advertised to have a picture with a diagonal measure of 5 inches and a viewing

2

area of 12 square inches (in ). What are the length and width of the screen?

Worksheet by Kuta Software LLC

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MATH 105 Intermediate Algebra

Name___________________________________

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HW #5 – Worth 34 points

Date________________

The demand and supply functions of a product are given. In each case, p represents the price in

dollars per unit and x represents the number of units in hundreds. Find the equilibrium point.

(Worth 2 points)

1) 7 p + x = 150 Demand equation

10 p – x = 20 Supply equation

Solve each system by any method. (Each worth 2 points)

2) -2x – 6 y = 8

8x + 5 y = 25

3) 8x + 12 y = -20

-12x – 7 y = -3

4) Jared’s Youth League basketball team scored on 27 shots, some two-point field goals and the rest

one-point free throws. The team scored a total of 48 points in the game. How many of each kind of

shot was made?

5) Two angles are supplementary. (Supplementary angles are angles whose sum is 180°.) Their

difference is 22°. Find the angles.

6) Rick’s Sporting Goods ran a promotion offering either a free rechargeable lantern or a free portable

propane grill to each customer who bought a deluxe family tent. The store’s cost for each lantern was

$20, and its cost for each grill was $25. At the end of the promotion, 12 tents had been sold. The

store’s total cost for the items given away was $280. How many of each type of free item did the

customers choose?

7) An executive nearing retirement made two investments totaling $45,000. In one year, these

inestments yielded $2430 in simple interest. Part of the money was invested at 4% and the rest at

6%. How much was invested at each rate?

Solve each system. (Each worth 3 points)

8)

1

1

13

a+ b-c=2

2

2

1

-a – b – c = -5

3

3

3

2

3

– a- b+ c=5

5

5

5

10) x = 6 y + 2

y = -6z + 5

0.8x – z = -4.2

4

9) 2r + t = 2

3

1

29

-r + s + 3t = 2

2

4

4

– r + s – t = -5

3

3

11) 2a + 0.8c = -6

a = 2b – c – 11

b = -2a – 2

Worksheet by Kuta Software LLC

-1-

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12) The sum of three number is 55. The difference of the largest and the smallest is 49, and the sum of

the two smaller is 13. Find the numbers.

13) In a game, the top three rushers for the Redskins in their victory against the Vikings totaled 129

yards. Chris Thompson had 18 more yards than Jamison Crowder. Crowder had 90 yards less than

Robert Kelley. How many yards did each player get in the game?

Worksheet by Kuta Software LLC

-2-

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…

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