Algebra Test

Thank you so much

Part A: Answer each of the following questions. Each solution is worth 4 12 points. Show all calculations.
1. Graph the following set on a number line and express the set in interval notation.
{xl xs-2)
HHHHH
Hhhhh HHHH
-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
2. Simplify this expression.
2(4x + 1) – (x + 3)
3. Simplify this expression.
-4²-3²
-6+1
4. Simplify this expression.
8xy2 + 4xy – 6xy?
5. Which property is shown by this expression?
3.1/3 = 1
6. Solve the equation
12(x + 5) = x + 16.
3508753
(Continued on reverse side)
7. Simplify the inequality below and give your answer in interval notation.
20 < 5x 5 35 8. Identify the x- and y-intercepts of this equation and graph the line. 3x + 2y =12 6 5- 4- 3 2- 1 Х 0 -6 -5 4 -3 -2 - 1 1 2 3 4 5 6 23456 9. Write an equation of a line containing (2, -3) and perpendicular to 3x + 4y = 14. 10 Write the domain in interval notation. X-3 f(x)= x + 2 11. Find the function value. h(x) = 2x + 1 f(x) = x - 2 (n + (3) 12. Solve this system by using the substitution method. 3x + 2y = 18 y = x + 4 13. Two angles are supplementary. Three times the measure of one angle is 20° more than the measure of the other. Find the measure of each angle. 2 3 14. Write the following expression using positive exponents. 2xy 3xy?y? diate X 15. Factor the following expression completely. A2 + 12A + 35 16. Perform the operations indicated in the following expression and simplify the result. v²-9 v2-8V +12 v2-6V +9 -v²-9 17. The volume (V) of a rectangular solid with square base with side length (I) and height (h) is given by V=Rn. Solve this formula for I. 18. Rationalize the denominator of (1+2)/(a + 2) 19. Simplify this radical. Assume that all variables represent positive numbers. ſao? 20. Find the product. Give your answer in a + bi form. 12 - 3172 21. Multiply. 2114x -67x) 22. Solve the radical equation. √x-1=4