Page 394 - Algebra 1

Lesson Practice
Graph the inequalities on a number line. 1. x ≤ - 2
Find each product.
(Ex 1)
a. 3x(x2+3x-7) b. -4x(x2 +2x-3)
Find each product using the Distributive Property.
(Ex 2)
c. (x+4)(x+3) d. (x-5)(x-2)
Find each product using the FOIL Method.
(Ex 3)
e. g.
(Ex 4)
h.
(Ex 4)
i.
(Ex 5)
2. x > 2 (50) (50)
Solve the equations. Check your answers. 3. 4(2x-3)=3+8x-11
4. -5m+2+8m=2m+11 (28)
(28)
*5. Multiple Choice Which product equals 6x2 - 7x + 2?
(x+6)(x+4) f. (x-8)(x-1)
Multiply (2x + 2)(x2 - 3x - 2) using the Distributive Property. Multiply (5x - 2)(x2 - 3x - 2) using vertical multiplication.
Felipe added a rectangular porch to his house. The length of the porch is (x + 6) inches and the width is (x2 + 4x - 2) inches. What is the area of the new porch?
Practice
Distributed and Integrated
(58) A (6x+1)(x-7) B (2x-1)(3x+2)
C (-6x+1)(-x+7) D (-2x+1)(-3x+2)
*6. Web Design Luke is designing a web page. At the top is a banner ad that is (58) 3x2 + 6x + 4 inches high. The length is x + 5 inches. What is the area of the
banner ad on Luke’s web page?
*7. (x-2)(x+3) *8. (2x-3)(2x+3)
(58) (58)
*9. Analyze Monroe says the product of x2 and x3 + 5x2 + 1 is x6 + 5x4 + x2. Do you
(58) agree? If not, explain your reasoning. *10. Find the product of 5(x2 + 3x - 7).
(58)
11. Find the LCM of 35, 60, and 100. (57)
Measurement On a piece of plywood, there is a seam every 8 feet and a stud (57) every 16 inches. After how many feet or how many inches is there a seam and
a stud?
3 4 *12.
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