Reference no: EM131332400
1. Draw the graph of the following linear function and give the domain and range.
f(x) = -½x + 5
2. Solve the following equation.
|x| = 3.
3. Give the inequality whose graph is shown below.
4. Evaluate the following expression when x = 3 and y = 2.
2xy - x2y
5. Completely factor the following expression.
16x4 - 81y4
6. Perform the following division.
(y2 + 10y + 21) ÷ (y + 7)
7. Solve the inequality below and write the solutions in interval notation.
|2m + 3| < 13
8. Write the numeral 0.0685 in scientific notation.
9. Given f(x) = -6x - 1, find f(2).
10. Write the equation of the line with a slope of 2 and passing through the point (-5, 3).
11. Simplify the following expression completely:
(ab-3/3a-2b2)2
12. Solve the system of equations given below.
x + 3z = 12
-x - 2y + z = 10
3x + 5y + 2z = -7
13. Do the following two lines intersect? Answer yes or no, together with the point of intersection; if any
5x - 8y = -5
-x - 1.6y= 14
14. Compute the determinant.
4 0 -1
3 6 -2
-2 5 1
15. Compute the distance between the two points (1- √2, -1) and (2 +√2, 4).
16. Rationalize the denominator of (2√7)/(x+√7).
17. At what x values does the parabola y = x2- 5x + 4 intersect the x axis?
18. The surface area (A) of a sphere with radius (r) is given by A = 4πr2. Solve this formula for r.
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