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	$0$	$2$	$4$	$6$	$8$	$10$
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	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$
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.

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?

Problem 4 From Unit 4 Lesson 14

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

Problem 5 From Unit 4 Lesson 9

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