IM: 8.5.1: Inputs and Outputs (Practice)

Given the rule:

Complete the table for the function rule for the following input values:

Here is an input-output rule:

Complete the table for the input-output rule:

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.

Write an equation that shows the cost of a pack of test tubes, t, in terms of the cost of a set of beakers, b.

The school office receives a bill for the supplies in the amount of $348. Write an equation with t and b that describes this situation.

Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write an equation that shows this substitution.

Solve the equation for b.

How much did the school pay for a set of beakers? For a pack of test tubes?

Solve:

For what value of x do the expressions 2x + 3 and 3x - 6 have the same value?

Given the rule:Complete the table for the function rule for the following input values:

Here is an input-output rule:Complete the table for the input-output rule:

Write an equation that shows the cost of a pack of test tubes, t, in terms of the cost of a set of beakers, b.

The school office receives a bill for the supplies in the amount of $348. Write an equation with t and b that describes this situation.

Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write an equation that shows this substitution.

Solve the equation for b.

How much did the school pay for a set of beakers? For a pack of test tubes?

Solve:

For what value of x do the expressions 2x + 3 and 3x - 6 have the same value?

Given the rule:

Complete the table for the function rule for the following input values:

Here is an input-output rule:

Complete the table for the input-output rule: