Simplify .Your answer should contain only positive exponents:
Question
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Math 012
1. Simplify .Your answer should contain only positive exponents:
a. (?u^2 v^2 • 2u^4)?^3
b. 2a^2 b^2 a^7/ ?(ba^4)?^2
c. (?a^4 b^(-3))?^3.2a^3 b^(-2)
d. (?x^3 y^4)?^3.2x^(-4) y^4
2. Find each product.
a. (3v ? 4)(5v ? 2) b. (5a + 8b)(a ? 3b) c. 5(2x ? 1)(4x +1)
3. Find the value of y between the points (2, y) and (5, ? 1) with slope ? 3
4. Find the value of x or y so that the line through the points has the slope :
( ? 2, y) and (2, 4); slope: 1/ 4
5. Write the slope-intercept form of the equation of each line.
a. x + 10y = ? 37
b. 0= x – 4
c. y + 5= ? 4(x ? 2)
6. Write the point-slope form of the equation of the line through the given points.
a. through: ( ? 4, 3) and ( ? 3, 1)
b. through: ( ? 1, ? 5) and ( ? 5, ? 4)
c. through: ( ? 4, 1) and (4, 4)
7. Write the point-slope form of the equation of the line described.
a. through:(2, 5), parallel to x =0
b. through:(2, 3), parallel to y = 7/5 x +4
c. through: (1, ? 5), perpendicular to ? x + y =1
8. Draw a graph for each inequality and give interval notation.
a. n > ? 5 b. ? 2 ? k c. 1 ? k
9. Solve each inequality, graph each solution, and give interval notation.
a. 2+ r < 3
b. 24 +4b < 4(1 +6b)
c. 3(n +3)+ 7(8 ? 8n) < 5n + 5+2
10. Solve each compound inequality, graph its solution, and give interval notation.
a. n/3 ? ? 3 or ? 5n ? ? 10
b. 6m ? ? 24 or m ? 7 ? ? 12
c. 10r > 0 or r ? 5 < ? 12
