CP PreCalculus Chapter 1 Prerequisite Skills Review
CP PreCalculus Chapter 1 Prerequisite Skills Review Name ______________________________
These are topics you should have mastered in Algebra 1 or Algebra 2. But, we all forget. So, here are practice problems of skills that you will need to be successful in Chapter 1 of Precalculus.
I. ORDER OF OPERATIONS-- Use order of operations to simplify each expression
1[pic] 2. [pic]
II. SIMPLIFYING EXPRESSIONS--Use distributive property to simplify.
3. [pic] 4. [pic]
III. ABSOLUTE VALUE EQUATIONS
5. [pic] 6. [pic]
IV. SOLVING INEQUALITIES. Solve each inequality and graph the solutions on the number line.
7. 2(x – 5) – 3(2x – 5) < 5x + 1 8. [pic]
9. [pic] 10. [pic]
V. SOLVING ABSOLUTE INEQUALITIES. Solve each inequality and graph the solutions on a number line.
11. [pic] 12. [pic]
VI. SLOPE- Find the slope of each line.
13. The line containing the points 14.
[pic] and [pic]
VII. LINES AND LINEAR EQUATIONS.
15. Find the x-intercept and y-intercept of the line [pic]
Graph the following lines.
16. [pic] 17. A line through (3, 1.5) that is
perpendicular to the graph of [pic].
18 Graph the line perpendicular to the graph 19. Graph the line that passes through
of [pic] that intersects it at its x-intercept. (-3,-1) and has a slope of .75.
20. Find an equation in standard form that passes through the points ( – 2, 3) and (– 2, 6).
21. Find an equation in standard form that passes through (1,2) and perpendicular to y – 2x = 3.
Solve the following quadratic equations.
22. [pic] 23. [pic]
24. [pic] 25. [pic]
CP Pre-Calculus Chapter 1 Prerequisite Skills ANSWER KEY
1. -8 18.
2. -45
3. [pic]
4. [pic][pic]
5. [pic]
6. [pic]
7. [pic]
8. [pic] 19.
9. [pic]
10. [pic]
11. [pic]
12. [pic]
13. [pic] 20. [pic]
14. 0 21. [pic]
15. x-int: [pic] 22. [pic]
y-int: [pic] 23. [pic]
16. 24. [pic]
25. [pic]
17.
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