Page 555 - Algebra 1

Lesson Practice
Practice
Distributed and Integrated
Factor completely.
1. 2x2 +9xy+7y2
(75)
Find the product. 3. (√ 3-12)2
(76)
Solve and graph each inequality.
(Ex 1)
a. 2x + 9 < 8 OR 3x + 3 > 12.
b. 24≤2x+8<36.
Solve the inequality. Justify each step.
(Ex 2)
c. 6 ≤ 2(x + 12) < 12
d. -16>2(x-2)OR27<3(x+2)
e. Of 4 babies born in a hospital in 1 night, 3 have weights of 5.2 pounds,
(Ex 3)
6.3 pounds, and 7.5 pounds, respectively. What could be the weight of the fourth baby if the average of all their weights fall within 6 and 8 pounds?
2. -4m2 +8mn+5n2 (75)
4. (2x+√ 3)(2x- 3) (76)
Solve the inequality. Then graph and check the solution. 7. 2z-6≤z
(66)
8. Solve and graph 2x + 9 > -x + 18. (81)
Determine if the following systems of equations are consistent and independent, consistent and dependent, or inconsistent.
Find the excluded values.
y+4 __
5. m-6 6.
(78) 2m - 10 (78) -2y - 6
9. y=10x-2
(67) (67)
y = 10x + 8
11. Multi-Step The perimeter of a square area rug is 48 feet. What is the length of each
(69) side? Express your answer as a radical number.
12. Quilting A quilter uses a series of rectangular patterns to design quilt blocks. The (72) area of the quilt block can be represented by the trinomial (x 2 + 7x + 12) cm2.
If he plans a quilt block with x having a value of 20 centimeters, what is the dimension of the longer side of the block?
13. Multi-Step A real number is less than 12 or is greater than 15. (73) a. Write a compound inequality that represents the situation.
b. Graph the solution. 540 Saxon Algebra 1
10.
y=3x 2y = 6x