# Pretest

This pretest will help you and your mentor determine what knowledge and skills of algebra 1 that you have. The pretest should be challenging, as Duke TIP courses are developed for gifted students who are interested in accelerating and enriching their learning.

This assessment should be a snapshot of your current knowledge prior to taking the course.

1. Complete each quiz question carefully.
2. Do not use any outside sources while taking this assessment. For example, do not look for answers on the Internet or in other electronic sources, read print sources, or ask others for help.

You can check your answers and view your score as you work; you can also print your results using the Print Score Summary form at the bottom of the page.

Let's get started and find out what you know about algebra 1. A score below 80 percent indicates that you would benefit from taking this course.

### Take the Pretest

1. Order of Operations

Value: 1

2. Solving Linear Equations

Value: 1

3. Rate of Change

Value: 1
The table shows the number of toys sold at Penelope's Toys and Games store in different years. Find the rate of change in the number of toys sold for each time interval. During which time interval did the number of toys sold increase at the greatest rate?

4. Graphing Linear Equations

Value: 1
Graph:

5. Solving Inequalities in One Variable

Value: 1
Solve:

6. Graphing Linear Inequalities

Value: 1
Choose the correct graph of the inequality:

7. Solving Literal Equations

Value: 1
Solve for R:

8. Systems of Equations

Value: 1

9. Evaluating Functions

Value: 1

Value: 1
Simplify:

11. Graphing Exponential Functions

Value: 1
Graph:

12. Exponential Growth and Decay

Value: 1

13. Simplifying Polynomials

Value: 1
Simplify:

14. Multiplying Polynomials

Value: 1
Simplify:

Value: 1

16. Rewriting Complex Fractions

Value: 1
Simplify:

17. Average Speed

Value: 1

18. Dividing Rational Expressions

Value: 1
Simplify:

19. Solving Rational Inequalities

Value: 1
Solve for x.

20. Work Problems

Value: 1

Value: 1

22. Rational Exponents

Value: 1

23. Rationalizing the Denominator

Value: 1
Rationalize the denominator:

24. Pythagorean Theorem

Value: 1

Value: 1
Solve for w:

26. Solving Linear Inequalities

Value: 1

27. Graphing Important Functions

Value: 1
Graph:

Note: Each tick mark on the graphs represents one unit.

28. Solving Nonlinear Systems

Value: 1

29. Compositions of Functions

Value: 1
When and , find .

30. Shifting Curves Along Axes

Value: 1
Given the function , write the equation of the function , whose graph is shifted 5 units left and 2 units up from the graph of .

31. Finding the Inverse of a Function

Value: 1
If it exists, find , the inverse of the function . Assume that and .

32. Curve Fitting with Linear Models

Value: 1

33. Solving a Quadratic Geometry Problem

Value: 1

You may print a score summary using the form below.