Unit 1 Flexible Practice

Classify $2(x-3)=2x-6$.

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State the excluded input of $\frac{1}{x-7}$.

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Solve the representation example, then name the feature of readiness diagnostic and routing that it illustrates: Factor$$x^2-5x+6$$

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Connect two representations for this example: A learner solves every linear equation but cancels terms illegally in rational expressions. Describe what a graph, table, mapping, or algebraic form would have to show.

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Solve$$x^2-7x+12=0$$

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Solve$$3^(x+1)=81$$

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Solve the representation example, then name the feature of equation and inequality repair that it illustrates: Solve$$|2x-1|=7$$

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Connect two representations for this example: Solve $sqrt(x+1)=x-1$. Describe what a graph, table, mapping, or algebraic form would have to show.

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Factor$$8x^2-12x$$

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Factor$$x^2+10x+25$$

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Solve the representation example, then name the feature of factoring and polynomial structure repair that it illustrates: Factor$$x^2-25$$

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Connect two representations for this example: Factor $x^4-5x^2+4$. Describe what a graph, table, mapping, or algebraic form would have to show.

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State restrictions of $\frac{5}{x(x-3)}$.

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Solve$$\frac{1}{x}=\frac{1}{5}$$

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Solve the representation example, then name the feature of rational expressions and restrictions repair that it illustrates: Simplify$$\frac{x^2-16}{x-4}$$

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Connect two representations for this example: Simplify $\frac{x^2+x-6}{x^2-4}$. Describe what a graph, table, mapping, or algebraic form would have to show.

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Simplify$$sqrt(48)$$

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State domain of $sqrt(3-x)$.

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Solve the representation example, then name the feature of radicals and rational exponents repair that it illustrates: Evaluate$$16^(\frac{3}{4})$$

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Connect two representations for this example: Solve $sqrt(x+6)=x$. Describe what a graph, table, mapping, or algebraic form would have to show.

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Simplify$$\frac{x^5}{x}^2$$

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Expand$$log_b(xy^2)$$

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Solve the representation example, then name the feature of exponential and logarithmic algebra repair that it illustrates: Evaluate$$log_5(125)$$

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Connect two representations for this example: Evaluate $log_3(\frac{1}{27})$. Describe what a graph, table, mapping, or algebraic form would have to show.

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If $f(x)=3x-1,$ find $f(4)$.

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Meaning of an open circle at $(3,5)$.

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Solve the representation example, then name the feature of function notation and graph reading repair that it illustrates: State range with minimum $-2$ and no upper bound.

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Connect two representations for this example: If $f(x)=x^2,$ solve $f(x)=9$. Describe what a graph, table, mapping, or algebraic form would have to show.

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Factor$$x^3-9x$$

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What does a polynomial sign change guarantee?

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Solve the representation example, then name the feature of mixed readiness synthesis that it illustrates: Average rate of $x^2$ from $1$ to $4$.

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Connect two representations for this example: Find domain and zero of $\frac{sqrt(x-1)}{x-4}$. Describe what a graph, table, mapping, or algebraic form would have to show.

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