Algebra I: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

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      295. What is if , , , and ?

      296. What is if , , , and ?

Operating with Factorials

      297–300 Evaluate the factorial expressions.

      297. 3!

298.

      299.

      300.

Focusing on Function Notation

      301–310 Evaluate the functions for the input value given.

      301. If , then

      302. If , then

      303. If , then

      304. If then

      305. If , then

      306. If , then

      307. If , then

      308. If , then

      309. If , then

      310. If , then

Chapter 7

      Multiplying by One or More Terms

      Multiplying algebraic expressions is much like multiplying numbers, but the introduction of variables makes the process just a bit more interesting. Products involving variables call on the rules of exponents. And, because of the commutative property of addition and multiplication, arrangements and rearrangements of terms and factors can make the process simpler.

The Problems You’ll Work On

      When multiplying by one or more terms, you deal with the following in this chapter:

       Distributing terms with one or more factors over two or more terms — multiplication over sums and differences

       Distributing division over sums and differences and dividing each term in the parentheses

       Distributing binomials over binomials or trinomials and then combining like terms

       Multiplying binomials using FOIL: First, Outer, Inner, Last

       Using Pascal’s triangle to find powers of binomials

       Finding products of binomials times trinomials that create sums and differences of cubes

What to Watch Out For

      With all the distributing and multiplying, don’t overlook the following:

       Applying the rules of exponents to all terms when distributing variables over several terms

       Changing the sign of each term when distributing a negative factor over several terms

       Combining the outer and inner terms correctly when applying FOIL

       Starting with the zero power when assigning powers of the second term to the pattern in Pascal’s triangle

Distributing One Term Over Sums and Differences

      311–315 Distribute the number over the terms in the parentheses.

      311.

      312.

      313.

      314.

      315.

Distributing Using Division

      316–320 Perform the division by dividing each term in the numerator by the term in the denominator.

      316.

      317.

      318.