Page 448 - Algebra 1

Lesson Practice
a. Solve the inequality x - _1 > 3 and graph the solution on a number line. (Ex 1) 2
Solve each inequality. Then graph and check the solution.
b .
(Ex 2)
c.
(Ex 3)
d.
(Ex 4)
z - 2 ≥ _1 2
y+1.1≤3.2
Rebecca wants to crochet a scarf that is at least 4.4 feet long. So far, she has completed 2.5 feet. How much more does Rebecca intend to crochet? Write an inequality to solve the problem. Check your solution.
Practice
Distributed and Integrated
Simplify the rational expression, if possible.
6.
(50)
7.
(66)
8.
(Inv 6)
9.
(50)
10.
(56)
11.
(53)
Graph the inequality z ≤ 1_2 . 3
1. 11p + p 2. 4x - 5x 3. 7y + 5y ______
(51) 6s4 6s4 Solve the inequality.
*4. z+10≥3 (66)
(51) 5w4
5w4 (51) *5. x-4≤9
(66)
3x4 + 1
3x4 + 1
Write Explain the difference between x > 5 and x ≥ 5. Define a linear function that has shifted upward 3 units.
Sports In June 2000, the Russian Alexander Popov set a new world record of 21.64 seconds in men’s freestyle swimming. Create the graph of an inequality that represents the times that could beat Popov’s record. Explain any restrictions on the graph.
Geometry In two similar triangles, the lengths of the sides of the larger triangle are directly proportional to the lengths of the corresponding sides of the smaller triangle. Find the length of x.
Multi-Step The total enrollment P and the female enrollment F of membership in a scholarship program (in thousands) can be modeled by the equations below, where t is the number of years since it was instituted.
P = 2387.74t + 155,211.46 F = 1223.58t + 79,589.03
14 mm
a. Find a model that represents the male enrollment M in the scholarship program.
b. For the year 2010, the value of P is projected to be 298,475.86 and the value of F is projected to be 153,003.83. Use these figures to project the male enrollment in 2010.
4 mm 10.5 mm x
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