Download Document

Algebra Q3 Homework
Mr. Barker
Homework
Simplify.
1. 32 • 34
2.
3. (x3)2
4.
5.
6.
7.
Homework: Part I
Find the value of each expression.
1.
2.
3. The Pacific Ocean has an area of about 6.4 х 107
square miles. Its volume is about 170,000,000
cubic miles.
a. Write the area of the Pacific Ocean in standard
form.
b. Write the volume of the Pacific Ocean in scientific
notation.
Homework: Part II
Find the value of each expression.
4. Order the list of numbers from least to
greatest.
Homework
Simplify.
1.
3.
5.
2.
4.
Homework
Simplify each expression.
1.
2.
3.
4.
Homework: Part I
Find the degree of each polynomial.
1. 7a3b2 – 2a4 + 4b – 15
2. 25x2 – 3x4
Write each polynomial in standard form. Then
give the leading coefficient.
3. 24g3 + 10 + 7g5 – g2
4. 14 – x4 + 3x2
Homework: Part II
Classify each polynomial according to its
degree and number of terms.
5. 18x2 – 12x + 5
6. 2x4 – 1
Homework: Part IIl
Tell whether each number is a root of
3p2 – 8 + 4.
7. 2
8. –2
Homework
Multiply.
1. (6s2t2)(3st)
2. 4xy2(x + y)
3. (x + 2)(x – 8)
4. (2x – 7)(x2 + 3x – 4)
5. 6mn(m2 + 10mn – 2)
6. (2x – 5y)(3x + y)
Homework
Multiply.
1. (x + 7)2
2. (x – 2)2
3. (5x + 2y)2
4. (2x – 9y)2
5. (4x + 5y)(4x – 5y)
6. (m2 + 2n)(m2 – 2n)
Homework: Part I
Write the prime factorization of each number.
1. 50
2. 84
Find the GCF of each pair of numbers.
3. 18 and 75
4. 20 and 36
Homework: Part II
Find the GCF each pair of monomials.
5. 12x and 28x3
6. 27x2 and 45x3y2
7. Cindi is planting a rectangular flower bed with 40 orange flowers
and 28 yellow flowers. She wants to plant them so that each row
will have the same number of plants but of only one color. How
many rows will Cindi need if she puts the greatest possible
number of plants in each row?
Homework: Part I
Factor each polynomial. Check your answer.
1. 16x + 20x3
2. 4m4 – 12m2 + 8m
Factor each expression.
3. 7k(k – 3) + 4(k – 3)
4. 3y(2y + 3) – 5(2y + 3)
Homework: Part II
Factor each polynomial by grouping. Check your
answer.
5. 2x3 + x2 – 6x – 3
6. 7p4 – 2p3 + 63p – 18
7. A rocket is fired vertically into the air at 40 m/s.
The expression –5t2 + 40t + 20 gives the
rocket’s height after t seconds. Factor this
expression.
Homework: Part II
5. Factor n2 + n – 6. Show that the original
polynomial and the factored form have the same
value for n = 0, 1, 2, 3 ,and 4.
Homework
Factor each trinomial. Check your answer.
1. 5x2 + 17x + 6
2. 2x2 + 5x – 12
3. 6x2 – 23x + 7
4. –4x2 + 11x + 20
5. –2x2 + 7x – 3
6. 8x2 + 27x + 9
Homework: Part I
Determine whether each trinomial is a perfect
square. If so factor. If not, explain.
1. 64x2 – 40x + 25
2. 121x2 – 44x + 4
3. 49x2 + 140x + 100
Homework: Part 2
Determine whether the binomial is a difference of
two squares. If so, factor. If not, explain.
4. 9x2 – 144y4
5. 30x2 – 64y2
6. 121x2 – 4y8
Homework: Part I
1. Without graphing, tell whether (3, 12) is on the
graph of y = 2x2 – 5.
2. Graph y = 1.5x2.
Homework: Part II
Use the graph for Problems 3-5.
3. Identify the vertex.
4. Does the function have a
minimum or maximum? What is
it?
5. Find the domain and range.