Topic
Q:
(8) Evaluate \( 4 a^{0} \) where \( a=-2 \)
Q:
Solve each equation by graphing.
\( 5^{x-4}=8 \)
Q:
Simplify.
1) \( \sqrt{3 p} \cdot \sqrt{6 p^{3}} \)
Q:
(11) \( 27 \cdot 3^{4} \cdot \frac{1}{3^{5}} \)
Q:
Evaluate the expression \( \left(\frac{2^{2} x^{2}}{x y^{3}}\right)^{2} \) for \( x=4 \) and \( y=2 \).
Q:
Perform the operations and simplify: \( \frac{\sqrt{6 x^{3}}}{\sqrt{3 x}} \cdot \sqrt{8 x^{2}} \)
Q:
An absolute value function is written in the format
\( y=A|B x-h|+k \), where \( A, B, h \), and \( k \) are real numbers. An
absolute value function bas a vertex located at \( \left(\frac{16}{5}, 19\right) \) and passes
through the point \( (1,41) \). It is also known that \( A=1 \).
a) What is the equation for this function?
b) \( 1 f(w, 117) \) is another point that this function passes through and
\( w>0 \), then what is the value of \( w \) ?
Q:
Graph the equation to the line with the given equation: \( y=\frac{2}{5} x-4 \)
Q:
Match each expression on the left with an equivalent expression on the right.
\( \sqrt[3]{-48 a^{6} b^{9}} \)
\( \sqrt{48 a^{6} b^{9}} \)
\( \sqrt[3]{-48 a^{7} b^{8}} \)
\( 4\left|a^{2}\right| b^{4} \sqrt{3 b} b^{2} \)
\( 2 a^{2} b^{3} \sqrt[3]{-6} \)
Q:
Factorise the following expressions fully:
\( \begin{array}{ll}1.1 .1 & 4 x-x^{3} \\ 1.1 .2 & x^{2}+15 x-54 \\ 1.1 .3 & y-x y+x-1\end{array} \)
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