# Intermediate Algebra Exit Skills

This sheet is to provide you with the information you need
to achieve 90% proficiency on this gateway

about Intermediate Algebra Exit Skills. As you look through the key ideas below,
try to create a

realistic picture of what you understand and what you don’t — the first attempt
at the gateway should

help you with this. While preparing for the second attempt, if necessary, you
should take full

advantage of working with your peers, seeking help from other students, tutors
in the tutoring lab,

supplemental instruction coaches and your instructor.

You will not be allowed to use a calculator on this gateway .

1. Writing the function machine.

Example: Write the function machine for

2. Simplifying a numerical expression with fractional or
negative exponents.

Examples:

1. Simplify

2. Simplify

3. Simplifying a rational expression with fractional exponents.

Example: Simplify

4. Given solve

Example: Given solve

5. Using the graph of
to either solve an
equation of the form or evaluate an

expression of the form .

Examples:

1. Solve the equation graphically .

2. Graphically evaluate the expression .

6. Given a quadratic function finding all the vertical and
horizontal intercepts.

Examples:

1.Find all the vertical and horizontal intercepts

2. Finding all the vertical and horizontal intercepts

7. Given the equation of a parabola in vertex form,
identifying the coordinates of

the vertex .

Examples:

1. Identify the coordinates of the vertex

2. Identify the coordinates of the vertex

3. Identify the coordinates of the vertex

8. Solving a linear inequality .

Examples:

1. Solve

2. Solve

9. Solving a linear absolute value equation .

Examples:

1.Solve

2.Solve

10. Interpreting slope and intercepts .

Example: Let represent the annual
consumption of milk in gallons per person and let

represent the annual consumption of soft drinks in gallons per person in the
year that is t years since

1950. These can be modeled by the linear functions

1. Which was consumed more in 1950, milk or softdrinks? How do you know?

2. Which is increasing more rapidly, the consumption of milk or the consumption
of soft drinks?

How do you know?

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