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  • Step 1

    Practice doing addition, subtraction, multiplication, and division quickly in your head. About 1/3 of the math questions on the PCAT require you to simplify numerical expressions or solve simple word problems involving proportions. You won't have time to work out all of these problems slowly on paper. The more you can do in your head, the better you quantitative subscore will be.

  • Now, second Step is:

    Review basic concepts of pre-calculus, focusing on functions. What is the limit behavior of a polynomial, exponential, or rational function? What do graphs of these functions look like? Review polynomial factoring as well.

  • Step 3

    Review basic single variable calculus, focusing on derivatives and integrals. Polynomials, exponential functions, and rational functions will be tested on PCAT calculus.

  • Step 4

    Don't worry about geometry, as this will not be tested. You may see a few questions that test your knowledge of sine, cosine, and tangent as functions.

  • Step 5

    Learn to spot wrong answers at a glance. Each PCAT math question only has 4 choices, so if two (or three!) look wrong to you automatically, you'll be in good shape.

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14y ago

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Simplifying trig expressions?

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How can mathematical expressions be solved efficiently?

By simplifying them.


What is the difference between simplifying and evaluating algebraic expressions?

Simplifying an expression is getting rid of any brackets or parentheses, performing as many operations as you can - including combining like terms. To evaluate an expression you would substitute the numerical values of all the variables, carry out all the operations (addition, multiplication etc) in the expression to reach the answer - the numerical value of the expression.


How are simplifying algebraic expressions similar to simplifying rational expressions?

Simplifying algebraic expressions and simplifying rational expressions both involve reducing the expression to its simplest form by eliminating unnecessary terms or factors. In both cases, you combine like terms and apply properties of operations. For rational expressions, this additionally includes factoring the numerator and denominator to cancel common factors. Ultimately, the goal in both processes is to make the expression easier to work with.


How do you do numerical expressions?

It is: 245,510,000,000


Which of these is a numerical expression?

None of the expressions on that list is a numerical one.


The numerical expressions have numbers?

Yes.


Can numerical expressions have the same value?

Yes, numerical expressions can have the same value. For example, the expressions 2+3 and 5 both have the value of 5. Similarly, the expressions 2x3 and 6 both have the value of 6. In general, any two numerical expressions that evaluate to the same number will have the same value.


What does numerical expressions mean?

A Numerical Expression is an expression only using numbers.


How are numerical and variable expressions similar?

These two are both similar because they are both expressions.


How do you know if you will subtract or add in simplifying algebraic expressions?

Only like terms can be subtracted or added in algebraic expressions.


How can you apply numerical expressions in your life?

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