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Algebra 2 Semester 2 Practice Final Summer 13

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ID: A<br />

107. Classify –3x 5 – 2x 3 by degree and by number of<br />

terms.<br />

108. Classify –7x 5 – 6x 4 + 4x 3 by degree and by number<br />

of terms.<br />

109. Write the polynomial 6x 2 − 9x 3 + 3<br />

in standard<br />

3<br />

form.<br />

110. Find the zeros of f(x) = (x + 3) 2 (x − 5) 6 and state<br />

the multiplicity.<br />

111. Divide using synthetic division.<br />

(x 3 + 4 − 11x + 3x 2 ) ÷ (6 + x)<br />

112. Solve x 4 − 34x 2 =−225.<br />

1<strong>13</strong>. Evaluate the expression.<br />

5!<br />

114. Evaluate the expression.<br />

7!<br />

4! 3!<br />

115. Use Pascal’s Triangle to expand the binomial.<br />

(s − 5v) 5<br />

116. Simplify.<br />

− 2 − 2 25 − 6 2<br />

117. Divide and simplify.<br />

225x 24<br />

3x<br />

125. Solve the equation. Check the solution.<br />

k + 5<br />

k + 8 = k + 4<br />

k − 5<br />

118. Multiply.<br />

Ê ˆ<br />

6 + 5<br />

Ë<br />

Á<br />

¯<br />

˜<br />

2<br />

119. Write 5x 3 – 5x 2 – 30x in factored form.<br />

3<br />

120. Simplify 162a <strong>13</strong> b 6<br />

positive.<br />

. Assume that all variables are<br />

121. Write an exponential function y = ab x for a graph<br />

that includes (0, 4) and (1, 14).<br />

122. Simplify.<br />

1<br />

10 3<br />

⋅ 100<br />

1<br />

3<br />

123. Write a polynomial function in standard form with<br />

zeros at –5, –2, and –4.<br />

124. Find the inverse of y = 6x 2 − 2.<br />

6

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