# Lesson 1

Inputs and Outputs

### Problem 1

Given the rule:

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

 input output 0 2 4 6 8 10

### Solution

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### Problem 2

Here is an input-output rule:

Complete the table for the input-output rule:

 input output -3 -2 -1 0 1 2 3

### Solution

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### Problem 3

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. 1. Write an equation that shows the cost of a pack of test tubes, $$t$$, in terms of the cost of a set of beakers, $$b$$. 2. 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.
3. 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.
4. Solve the equation for $$b$$.
5. How much did the school pay for a set of beakers? For a pack of test tubes?

### Solution

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(From Unit 4, Lesson 15.)

### Problem 4

Solve: $$\begin{cases} y=x-4 \\ y=6x-10\\ \end{cases}$$

### Solution

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(From Unit 4, Lesson 14.)

### Problem 5

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

### Solution

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(From Unit 4, Lesson 9.)