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Algebra II Semester 2 Practice Final _18 Pages

Algebra II Semester 2 Practice Final _18 Pages

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ID: A<br />

85. Find the real-number root.<br />

− 125<br />

3<br />

343<br />

25<br />

a.<br />

49<br />

b. − 125<br />

343<br />

c. − 125<br />

1029<br />

d. − 5 7<br />

86. Multiply and simplify if possible.<br />

6 ⋅ 2<br />

a. 2 3<br />

b. 12<br />

c. 3 2<br />

d. not possible<br />

87. Multiply and simplify if possible.<br />

Ê<br />

ˆ<br />

7x x − 7 7<br />

Ë<br />

Á<br />

¯<br />

˜<br />

a. x 7 − 49 x<br />

b. 7x − 49x<br />

c. x 7 − x 49<br />

d. − 42x<br />

88. Divide and simplify.<br />

3<br />

3<br />

162<br />

2<br />

3<br />

a. 3 3<br />

3<br />

b. 162<br />

3<br />

c. 3 3<br />

d. 3 3<br />

89. Divide and simplify.<br />

90x <strong>18</strong><br />

2x<br />

a. 3x 8 5x<br />

b. <strong>18</strong>x 17<br />

c. 5x 3x 8<br />

d. none of these<br />

90. Rationalize the denominator of the expression.<br />

Assume that all variables are positive.<br />

6x 8 y 9<br />

a.<br />

b.<br />

5x 2 y 4<br />

x 3 y 2<br />

5<br />

30y<br />

30x 10 y 13<br />

5x 2 y 4<br />

c. 5x 3 y 2 30y<br />

d. none of these<br />

91. Rationalize the denominator of the expression.<br />

Assume that all variables are positive.<br />

3<br />

2 + 3<br />

a.<br />

b.<br />

c.<br />

d.<br />

3<br />

6<br />

3<br />

2 6<br />

3<br />

2 36<br />

3<br />

2 6<br />

3<br />

2 36<br />

3<br />

+ 9 <strong>18</strong><br />

6<br />

3<br />

+ 3 2<br />

6<br />

3<br />

+ 9 4<br />

6<br />

3<br />

+ 3 4<br />

6<br />

92. Add if possible.<br />

4<br />

2 2x<br />

4<br />

a. 8 4x<br />

4<br />

+ 6 2x<br />

4<br />

b. 16 2x<br />

4<br />

c. 8 2x<br />

d. not possible to simplify<br />

93. Add if possible.<br />

3<br />

4 3x<br />

3<br />

a. 9 13x<br />

3<br />

b. 27 3x<br />

3<br />

+ 5 10x<br />

c. 27 10x<br />

3<br />

d. not possible to simplify<br />

14

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