Page 605 - Algebra 1

Practice Distributed and Integrated
Solve each equation and check your answer.
1. -2⎢r+2 =-30 2. 3⎢r+6 =15
(74) (74)
3. Solve and graph the inequality 35 < 3x + 8 OR 72 ≥ 9(x + 1). (82)
Determine whether the polynomial is a perfect-square trinomial or a difference of two squares. Then factor the polynomial.
4. 100y2 -80y+16. 5. 81x2 -1
(83)
6. Factor 9c2 - 42c + 49. (87)
(83)
7. Find the distance between (2, 2) and the (4, 4). Give your answer in simplest (86) radical form.
*10. y=x2 +4x+6 *11. y=x2 -x-6 (89) (89)
*12. Analyze Describe how you could use symmetry to graph a quadratic equation. (89)
13. Traffic You are driving on a highway that has a speed limit of 65 miles per hour (73) and a minimum speed of 45 miles per hour. Write a compound inequality that
describes this situation.
14. Use the graph to write a compound inequality as two separate inequalities. Then write
(73) a compound inequality without using the word AND.
-2 0 2 4 6 8 10
15. Multi-Step Jordan is making a model of a trapezoid for her math class. Write
Find the quotient or product.
__
8. 15a+5b ÷3a+b 9. 4x+2÷ 2x+1
(88) 5ab (88) 3y Find the axis of symmetry for the graph of each equation.
(76)
16.
(79)
an expression for the area of the trapezoid shown at right. Find the area. Tennis A tennis ball is served at 87 miles per hour. In the expression
2 m
√36 + 8 m
√49 + 4 m
-16x2 + 128x - 240, x represents the time the ball is 246 feet high. Factor this expression completely.
17. Multi-Step A spinner is spun 100 times. The spinner lands on brown 50 times, red
brown
yellow
red
brown
(80)
18.
(81)
25 times, and yellow 25 times.
a. Find the experimental probability for each color.
b. Draw a spinner that would also give this theoretical probability distribution. Communication A 400-anytime-minutes plan costs $35 plus $0.09 per minute overage.
Another 400-anytime-minutes plan costs $45 plus $0.06 per minute overage. After how many overage minutes is the first plan more expensive?
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Saxon Algebra 1