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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.