Algebra and Graphs

Complete the table for Pattern 5.

the number of white beads in Pattern $n$

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the total number of beads in Pattern $n$.

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Bill has only 88 white beads but lots of black beads.
Pattern $p$ is the largest possible pattern he can make using these beads.

Work out the value of $p$.

$p$ = ______

$f(x) = \frac{10 - x}{3}$

Find $f(-8)$.

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$g(x) = 4x + 3$

Find $g^{-1}(x)$.

$g^{-1}(x)$ = ______

Complete the table of values for $y = x^3 - 5x + 4$.

Draw the graph of $y = x^3 - 5x + 4$ for $-3 \leq x \leq 3$.

By drawing a suitable straight line on the grid, find the solutions of the equation $x^3 - 5x - 3 = 0$.

$x$ = ______ , $x$ = ______ , $x$ = ______

$5a + 3b + 2a - 7b$

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$c^{12} \div c^4$

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Find $\text{f}(2)$.

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Solve $\text{g}(x) = 18$.

$x$ = ______

Find $\text{fg}(4)$.

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The domain of $\text{g}(x)$ is $x > -8$.

Find the range of $\text{g}(x)$.

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Write down the next term of the sequence.

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Find an expression for the $n\text{th}$ term of the sequence.

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