Page 595 - Algebra 1

Practice Distributed and Integrated
1. Solve6(x+2)-4x>2+x+2. (81)
2. Solve and graph the inequality 4 ≥ 2(x + 3) OR 23 < 8x + 7. (82)
Rewrite the equation in the standard form of a quadratic function, if possible. 3. x(y - 2x) = 18x2
(84)
4. 2(y-2x)=6x2 (84)
Find the distance between the given points. Give the answer in simplest radical form. 5. (-4, -5) and (2, -3) 6. (3, -2) and (1, 0)
(86) (86)
Find the midpoint of the line segment with the given endpoints.
7. (-4, -5) and (2, -3) 8. (3, -2) and (1, 0)
(86) (86)
Find the product or quotient.
*9. 2y2+10y· 2x *10. 6y÷x+y *11. 7x÷4
______ (88) y + 5 2x3 (88) x 3y (88) y y
Factor.
12.
(72)
13.
(87)
14.
(72)
15.
(73)
16.
(78)
7x-60+x2
64a3b - 32a3 + 16a2b - 8a2
Woodworking To inlay designs on the top of chest, a crafter uses a series of patterns. The patterns are represented by the trinomial x2 + 4x - 21. What are the dimensions of the patterns?
Write a compound inequality that describes the graph.
-4 -2 0 2 4
Athletic Directing An athletic director has a budget of $700 to buy uniforms. He
will receive 5 free uniforms when he places his order. The number of uniforms, y, 700
that he can get is given by y = _x + 5, where x is the price per uniform. a. What is the horizontal asymptote of this rational function?
b. What is the vertical asymptote?
c. If the price per uniform is $50, how many uniforms will he receive? d. Can the athletic director receive only 5 uniforms? Why or why not?
17. Multi-Step The area of a triangular sail in square feet is represented by the (79) equation _1 x2 + _7 x + 5.
22
a. Factor this expression completely in terms of the area of a triangle.
b. Let x = 3. What is the area of the sail in square feet? 580 Saxon Algebra 1