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Transcript
```MA 134 – Take Home Prerequisite Review I
Name ______________________________
1. (Section R.1) Study how to use interval notation in section R.1. Fill in the remainder of the table.
Inequality
Number Line Graph
Interval
3, 
 3,  
x  3
x  3
2 x
2 x
1  x  2
x Real Numbers
2. (Sections R.2, R.3) Simplify these algebraic expressions. Your final answer should not contain negative exponents.
a. (5 x  2)  (3x  7) = _____________________
b. (5 x  2)(3 x  7) = _________________
3
c.
(3x  7) = _____________________________
2
d.   = _______________
5
e.
(6ab2 )(2a 3b5 ) = ________________________
f.
2
(2ab 2 ) 3 = _______________
3. (Section R.3) Parts a – c refer to the polynomial 4 x3  9 x 6  1/ 4 x 2  10  x .
a. Write the polynomial in descending powers of the variable: _______________________________________________
b. The degree of this polynomial is __________________ c. The leading coefficient of this polynomial is _____________.
d. A linear equation has degree ____. A quadratic equation has degree _____. A cubic equation has degree ____.
4. (Section R.6) Write the expression in simplified radical form:
3
a.
64 = __________,
c.
5  5 = __________
64 = __________
e. 5 6  2 3 = ___________
5/ 3
b. 8
d.
= __________
48 = __________
f. (2 3  5)(7 3  4) = __________
5. (Section R.4) Completely factor these non-prime polynomials:
a. x  10 x  21 = _______________________
b. 3x  x  14 = ________________________
c. 49 x  25 = ______________________
d. 2 x  3 x  4 x  6 =______________________
2
2
2
3
2
6. (Section R.7) Solve these equations by factoring. Because they are degree 2, they have two solutions. Circle or