Test 5 Sp/03 Simplify (no calculator)

MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C7485A.6297A3B0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C7485A.6297A3B0 Content-Location: file:///C:/213799D5/sample-5.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Test 5 Sp/03 Simplify (no calculator)

123b Sample Test 5 <= /span>

1. Solve the following quadratic equations any method you wish. Give the answer in both the exact = form and the approximate value.

a. 3x²– 2x =3D 2(x –= 1) + 3 = &nb= sp; = b. x ( x + 3) =3D 3x – 8

c. x ( x – 2) – x =3D 1 = &nb= sp; = <= span style=3D'letter-spacing:-.15pt;mso-fareast-language:ZH-CN'> d. 3x² – 8 =3D x² +3

e. x – x (= 2x – 2) =3D 3x – 1 = &nb= sp; = f. 4x² + 7 = =3D 22

g. (x – 3)= ² =3D 7 = &nb= sp; = &nb= sp; h. 2x ( x – 2) =3D 3(x + 2)

2. Graph the following functions:

a. f(x) =3D -x² + 3 = &nb= sp; b. f(x) =3D | x | R= 11; 2 = &nb= sp; = c. f(x) =3D -x³– 3

3. Graph the following quadratic equations. Draw the center li= ne of symmetry. Find the vertex. Label the x and y intercepts, if t= hey exist.

a. <= /span>y =3D x²– 4x – 5 = &nb= sp; = &nb= sp; b. y =3D -x²+ 2x + 15

c.&nb= sp; y =3D x²+ 4x + 5 = &nb= sp; = &nb= sp; d. y =3D -2x^{2 + 8x}

4. Compute

a.&nb= sp; (5 – 2i)(3 + 2i) = &nb= sp; = = b. (4 – 3i)²<= span style=3D'mso-spacerun:yes'> =

c.&nb= sp; (4 – 3i)(4 + 3i) = &nb= sp; = d. = (4 – 3i)(5 + i)(5 – i) = (4 + 3i)

e. (4 + 3i)/(4 – 3i) = = &nb= sp; f. ((5 – 2i/(3 + 4i)

5. Solve by transforming each equations into second degree equations first. Give all the exact real solutions.=

x ⁴– 3x ²+ 2 =3D 0 = &nb= sp; = x ^-2/3– 5x ^{-1/ 3} + 4 =3D 0

=
Ans: x =3D ±= Ö 2, ±1 = &nb= sp; = Ans: x=3D 1, 1/64

Ans: x =3D -6, 3 = &nb= sp; = Ans: x =3D -1/2, 1

5. Simplify the following fractions.

=
6. Add or subtract the following fraction and reduce the answers.

7. Reduce the following fractions.

_{=
&nb=
sp;}

Collect and simplify the exponents. Give your answers without using ne= gative exponents. <= /span>

1. ₌

2. Write 16 ^–3/2– 8 ^-2/3 in radical = form and find the answer.

3. Simplify ₌

4. Simplify and combine terms when possible= .

a. _{=
&nb=
sp; b.}

5. Multiply and simplify ₌

Rationalize the denominator.

6. a. _{=
            &nb=
sp;            =
            &nb=
sp;     b.
_{=
            &nb=
sp;}}

7. Solve for x:

-------------------------------------------= ---------------------------------------------------------------------------= -----

(Part II: You may use calculator for the following problems)

8. Find the approximate value of _{, round the answer to four significant digits.=}

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