Mathematics Line Equations Function Simplifications & Inequalities Exam Practice

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For each of the following questions, give a clear and complete solution.
Show all the work necessary to justify your entire solution.
Each question is worth 5 points.
1. Find the equation of the line that is perpendicular to 2y = 5x + 6 and
which passes through the s-axis at (7,0). Carefully graph the line that
you have found, and on the graph, label the y-intercept.
2. Find the equation of the line that is parallel to 3y = -40 – 1 and which
passes through the point (-2,-1). Carefully graph the line that you have
found, and on your graph, label the y-intercept and the r-intercept.
3. Solve for :
(x + 2)2 (42 – 3) = (2x – 1)(x+5)
4. Solve for :
3.0 +1 = 2++1
5. Solve for :
5
6
-3
6. Suppose f(x) = x+1. Calculate f(f(x)).
7. Simplify: (x2 – 1)(x2 – 4) – (x2 + 3x + 2)(x2 – 3x + 2).
8. Solve the following inequality for 2, and express your answer using interval
notation:
15x – 3
9. Simplify the following expression:
=
10. Graph the following function. Label on the graph the vertex, any 2-
intercepts, and the y-intercept.
f(x) = 2×2 – 1 – 10
11. Graph the following function. Label on the graph the vertex, any 2-
intercepts, and the y-intercept.
f(x) = -12- 9x + 10

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Tags:
Equations of lines

Function Graphing

mathematics equations

Function Simplifications

Function Inequality

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