IM 8.5.1 Practice: Inputs and Outputs

Given the rule:
[img]data:image/png;base64,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[/img]
Complete the table for the function rule for the following input values:
Here is an input-output rule:
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[/img]
Complete the table for the input-output rule:
[size=150]Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.[/size][br][br]Write an equation that shows the cost of a pack of test tubes, [math]t[/math], in terms of the cost of a set of beakers, [math]b[/math].
The school office receives a bill for the supplies in the amount of $348. Write an equation with [math]t[/math] and [math]b[/math] that describes this situation.
Since [math]t[/math] is in terms of [math]b[/math] from the first equation, this expression can be substituted into the second equation where [math]t[/math] appears. Write an equation that shows this substitution.
Solve the equation for [math]b[/math].
How much did the school pay for a set of beakers?
For a pack of test tubes?
Solve:
[math]\left\{ \begin{array}{l} y=x-4 \\ y=6x-10 \end{array}\right.[/math]
 For what value of [math]x[/math] do the expressions [math]2x+3[/math] and [math]3x-6[/math] have the same value?
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Information: IM 8.5.1 Practice: Inputs and Outputs