Page 675 - Algebra 1

*12. Justify What property allows you to use the following step when solving an (98) equation?
(x + 4)(x + 5) = 0 x+4=0 x+5=0
*13. Multiple Choice What is the solution set of 0 = (3x - 5)(x + 2)? (98)⎧_5⎫ ⎧_5⎫ ⎧_5⎫ ⎧_5⎫
A ⎨⎩3, -2⎬⎭ B ⎨⎩3, 2⎬⎭ C ⎨⎩-3, -2⎬⎭ D ⎨⎩-3, 2⎬⎭
*14. Ages A girl is 27 years younger than her mother. Her mother is m years old. The
Student A
y > -3
Student B
y≥4
3 4
(98) product of their ages is 324. How old is each person?
*15. Multi-Step Seve plans to go shopping for new jeans and shorts. She plans to spend (97) no more than $70. Each pair of jeans costs $20 and each pair of shorts costs $10.
a. Write an inequality that describes this situation.
b. Graph the inequality.
c. If Seve wants to spend exactly $70, what is a possible number of each she can spend her money on?
*16. Geometry The Triangle Inequality Theorem states that the sum of the lengths (97) of any two sides of a triangle is greater than the length of the third side. The sides of a triangle are labeled 4x inches, 2y inches, and 8 inches. James wrote
an inequality that satisfies the Triangle Inequality Theorem. He wrote the inequality 4x + 2y > 8. Use a graphing calculator to graph the inequality.
*17. Solve (x + 4)(x - 9) = 0. (98)
18. Error Analysis Students were asked to write an inequality that results in a dashed (97) horizontal boundary line. Which student is correct? Explain the error.
19. Hors_eback Riding It took Joe _2x - 10 minutes to ride his horse to Darrell’s house that (92) 3x2 - 15x 2x5
was 3x miles away. Find his rate in miles per minute.
20. Measurement The area of a triangle can be expressed as 4x2 - 2x - 6 square
(92) meters. The height of the triangle is x + 1 meters. Find the length of the base of
the triangle.
21. Art Michael bought a rectangular painting from a local artist. The area of the (93) painting was (20x + 5 + x3) square inches. The width was (x - 5) inches. What
was the length?
22. Analyze Should you find the LCD when multiplying or dividing rational fractions?
(95)
660 Saxon Algebra 1