CLEP ALGEBRA EXAM HELP
1. Product Rule
Answer multiply two expressions with same base, you add the exponents
2. Quotient Rule
Answer divide two expressions with same base, you subtract the exponents
3. Power Rule
Answer raising a power to a power, you multiply the exponents
4. Power of Zero
Answer anything to the 0 exponent is 1
5. Negative Rule of Exponents
Answer negative exponents in the numerator get moved to the denominator and become positive exponents
6. Fractional Rule of Exponents
Answer the numerator is the power of the term inside the root and the denominator is the power of the root
7. Distribute an Exponent Over a Product
Answer When an exponent is outside of parentheses and acts on a product, it can be distributed to all terms inside
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,the parentheses, including coeflcients and bases.
8. Distribute an Exponent Over a Quotient
Answer when the quotient of two nonzero real numbers is raised to an exponent, the exponent can be distributed
to each factor and divided individually.
9. Quadratic Formula
Answer x = negative b + or - square root, b^2 -4AC/ all over 2a
10. Difference of Squares
Answer a^2 − b^2 = (a+b)(a−b)
11. Perfect Square
Answer (a+b)^2 = a^2 + 2ab + b^2 or
(a-b)^2 = a^2 - 2ab + b^2
12. Sum of Two Square
Answer a^2 + b^2 = (a+bi)(a-bi)
13. Difference of Cubes
Answer a^3-b^3= (a-b) (a^2+ab+b^2)
14. Sum of Cubes
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, Answer a^3+b^3= (a+b)(a^2-ab+b^2)
15. a+b Whole Cube Formula
Answer (a + b)^3 = a^3 +3a^2b + 3ab^2 + b^3
16. a-b Whole Cube Formula
Answer (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
17. Identity Function
Answer f(x)=x Domain
(- , )
Range
(- , )
18. Squaring Function
Answer f(x)=x^2 Domain
(-,)
Range
[0,)
19. Cubing Function
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, Answer f(x)=x^3 Domain
(-,+)
Range
(-,+)
4/5
1. Product Rule
Answer multiply two expressions with same base, you add the exponents
2. Quotient Rule
Answer divide two expressions with same base, you subtract the exponents
3. Power Rule
Answer raising a power to a power, you multiply the exponents
4. Power of Zero
Answer anything to the 0 exponent is 1
5. Negative Rule of Exponents
Answer negative exponents in the numerator get moved to the denominator and become positive exponents
6. Fractional Rule of Exponents
Answer the numerator is the power of the term inside the root and the denominator is the power of the root
7. Distribute an Exponent Over a Product
Answer When an exponent is outside of parentheses and acts on a product, it can be distributed to all terms inside
1/5
,the parentheses, including coeflcients and bases.
8. Distribute an Exponent Over a Quotient
Answer when the quotient of two nonzero real numbers is raised to an exponent, the exponent can be distributed
to each factor and divided individually.
9. Quadratic Formula
Answer x = negative b + or - square root, b^2 -4AC/ all over 2a
10. Difference of Squares
Answer a^2 − b^2 = (a+b)(a−b)
11. Perfect Square
Answer (a+b)^2 = a^2 + 2ab + b^2 or
(a-b)^2 = a^2 - 2ab + b^2
12. Sum of Two Square
Answer a^2 + b^2 = (a+bi)(a-bi)
13. Difference of Cubes
Answer a^3-b^3= (a-b) (a^2+ab+b^2)
14. Sum of Cubes
2/5
, Answer a^3+b^3= (a+b)(a^2-ab+b^2)
15. a+b Whole Cube Formula
Answer (a + b)^3 = a^3 +3a^2b + 3ab^2 + b^3
16. a-b Whole Cube Formula
Answer (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
17. Identity Function
Answer f(x)=x Domain
(- , )
Range
(- , )
18. Squaring Function
Answer f(x)=x^2 Domain
(-,)
Range
[0,)
19. Cubing Function
3/5
, Answer f(x)=x^3 Domain
(-,+)
Range
(-,+)
4/5
