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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