Lesson 1: Practice Problems

Problem 1

Given the rule:

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

An input output table with the rule divide by 4, then add 2. The inputs are 0, 2, 4, 6, 8, 10.

input

output

Problem 2

Here is an input-output rule.

Complete the table for the input-output rule:

An input output table with the rule write 1 if the input is odd; write 0 if the input is even. The inputs are -3, -2, -2, 0, 1, 2, 3

input

output

Problem 3 From Unit 4 Lesson 15

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, , in terms of the cost of a set of beakers, .

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

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

  4. Solve the equation for .

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

Problem 4 From Unit 4 Lesson 14

Solve:

Problem 5 From Unit 4 Lesson 9

For what value of do the expressions and have the same value?