Download Week 34 Homework (80-83)

Name:
Teacher:
Algebra 1, Period
Due Date: _____________
Algebra I
Homework #80: Complex Exponents
1) Simplify:
2) Simplify:
3) Simplify:
4) Simplify:
5) Simplify:
 2 (5) (4)
3
5
2
(4)

7) Simplify:
( f 3  w) 2  ( f 4  w 6 )
( f 4  w9 )
2
6) Simplify:
( f 2 r 3 ) 0
8) Simplify:
x 2  3 y 2
3x 
2 4
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9)*Thinking Question:
There are 80 households that are members of Janelle’s
pool. Sixty percent of the households pay the standard
$200 membership feel. Thirty percent of the households
receive a 20% discount on the standard membership fee
and the remaining households do not have to pay a
membership fee. What is the average membership fee
per household for the 80 households?
10) Graph the following equation:  10 x  5 y  15
Slope: ______
Sketch:
Y-Intercept:
____
11) Tamera and Adelina are throwing a birthday party
for their friend. Tamera invited 5 fewer friends than
Adelina. Together they invited 47 guests. How many
guests did each girl invite?
12) Solve for d: 4d – 15 = -6d
14) What is the standard form of the equation of the
13) What are the (x, y) coordinates of the point of
intersection of the line representing the equation 5x + 2y line perpendicular to the graph of 2x + 3y = 7 at point
= 4 and the line representing the equation x – 2y = 8?
(2, 1)?
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Name:
Teacher:
Algebra 1, Period
Due Date: _____________
Algebra I
Homework #81: Real Numbers &
Everything Exponents!!!
1) Simplify: 25t 2 m 3 s 0 (2tm8 )
2) Simplify: 
3) Order the following real numbers from greatest to
least:
50v 2 b 5
125v 4 b 2
4) The number “16” can be classified as what type(s)
of number(s):
a) Rational
b) Integer
c) Whole Number
d) Both a and b
e) All of the above
5) ) Simplify:
6) Simplify:
7) When two exponential expressions with the
same base are multiplied you should ________ the
exponents.
8) Which of the following values for j and k make the
a) multiply
b) j  6;k  2
b) divide
c) j  4;k 
3
c) add
d) j  3;k  4
following statement true:
a) j  2;k  6
e) j  1;k  12
d) subtract
e) none of the above
9) Classify the number “
a) whole
d) irrational
b) integer
e) real
c) rational

” (circle all that apply)
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(4a j ) k  64a12
10) Graph the following equation:
Slope: ______
Sketch:
11) Carlos traveled from Chicago (3, 5) to Evanston
(10, 19). At the same time, his sister, Alejandra,
traveled from Skokie (11, 21) to Springfield
(15, 29). Did the siblings’ paths cross during their
travels? Justify your answer through numbers and
words!
Y-Intercept: ____
12) What is the value of 3x if 9x = 5y + 2 and
y + 4 = 2y – 10?
13) A pair of Nike Hyperdunks cost $125.00 not
including tax. To your surprise you see a 30% off tag
on the left shoe’s shoelace. You immediately grab the
display shoe because you’re told it’s the last one. It
doesn’t even fit. It’s a size 7 and you wear 14’s. You
don’t care; they’re hyperdunks. You’ll make it work.
Plus you need to go outside your usual New
Balance’s. They’re not meant for basketball. Foot
locker charges an 11% sales tax. What is the total
amount of money you must pay to jump the exact
same height?
14) Yvette has 5 more nickels than dimes. If the value of
her money is $1.30, how many coins of each kind does she
have?
15) If y = -4x + 11, and 3x + y = 9, what is the value
of y?
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Name:
Teacher:
Algebra 1, Period
Due Date: _____________
Algebra I
Homework #82: Introduction to
Polynomials
Fill in the table below:
Polynomial
Standard Form
-8 + 3x
3x – 8
Degree
# of Terms
Classify by degree and # of Terms
1
2
1st degree binomial
0
1
n 4  3n 2

9z 3
5th degree trinomial

6
4
Describe and correct the error in identifying the following problems.
1.) 9 - x-5 is a 5th degree binomial. 2.) 2a - 6xy7 is a 7th degree binomial
written in standard form.
3.) 8 is a first degree monomial.
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
4) Simplify:
a
3

2 0
5) Simplify:

2 2
b c2d
a 3 c 4 d  2
a3
d 2
a) 2
b) 3
d
a
2 x
c)
a3
d 2
d)
a 6b 2
d6

y 2 z 6
4 x  4 y 7 z 8
2
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0
a)
4 x 6 z 14
y7
b)
x 4 z8
4y7
c)
x 6 z 14
4y 7
d) 4x 4 y 7 z 8
6) *Thinking Question:
Janelle loves hanging out at her neighborhood pool. On
Friday she arrived at the pool at 10:30 a.m. and left at
4:15 p.m. During each hour, the pool has a 15-minute
adult swim from 45 minutes after the hour to the top of
the next hour. During what percent of Janelle’s time at
the pool on Friday was it adult swim time? Express your
answer to the nearest whole number.
7) Graph the following equation:
Slope:
______
Sketch:
YIntercept:
____
8) Jaime and Kenya went to lunch, which cost $48.45
cents that included tax, but not tip. Jaime paid for 75%
of the bill because it was Kenya’s birthday. Both of them
left a 15% tip. How much money did Kenya pay total?
9) A line through which two points would be
3
parallel to a line with a slope of ?
4
a) (0, 0) and (0, –2)
b) (0, 2) and (–4, 1)
c) (0, 5) and (–4, 2)
d) (0, –2) and (–4, –2)
10) What is the -coordinate of the point in the standard
coordinate plane at which the lines
and
intersect?
11) The cost of a hamburger and a soft drink
together is $2.10. The cost of 2 hamburgers and a
soft drink together is $3.50. What is the cost of a
soft drink?
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Name:
Teacher:
Algebra 1, Period
Due Date: _____________
Algebra I
Homework #83: Add/Subtract
Polynomials
Complete problems 7-14 in your workbook, on page 119
1) Graph the following equation:
2)Graph the following equation:
Slope: ______
Slope: ______
Sketch:
Sketch:
Y-Intercept: ____
Y-Intercept: ____
3) Find the value of r so the line that passes through
each pair of points has the given slope:
(-2, 6), (r, -4); m = -5
4) The debate team plans to make and sell trail mix.
They can spend $34. Sunflower seeds cost $4.00 per
pound and raisins cost $1.50 per pound. The pounds
of raisins in the mix are to be 3 times the pounds of
sunflower seeds. How many pounds of raisins, r, and
how many pounds of sunflower seeds, s, will the
debate team sell?
5)Solve for q: -8r – 4q = 3r
6) Andy and Jennifer put their money together to buy
a couple sweaters and Macy’s. Their total was $100,
not including tax. Andy paid 80% of the bill and
Jennifer paid 20% of the bill. How much did Andy pay
total if sales tax is 6%? Round to the nearest cent.
7) Colt and Jaime went to dinner. The bill was $20.00,
which included tax, but not tip. Colt paid for 60% of
the bill and Jaime paid for 40% of the bill. Both of
them left a 15% tip. How much money did Jaime pay
total?
8) The sum of two numbers is -10. Negative three times
the first number minus the second number equals 2. Find
the numbers by setting up and solving a system of
equations.
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