Intermediate Algebra Math Beginning 105

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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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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