Lesson 9: Practice Problems

Problem 1

Andre says that $10 x + 6$ and $5 x + 11$ are equivalent because they both equal $16$ when $x$ is $1$ . Do you agree with Andre? Explain your reasoning.

Problem 2

Select all expressions that can be subtracted from $9 x$ to result in the expression $3 x + 5$ .

$- 5 + 6 x$
$5 - 6 x$
$6 x + 5$
$6 x - 5$
$- 6 x + 5$

Problem 3

Select all the statements that are true for any value of $x$ .

$7 x + (2 x + 7) = 9 x + 7$
$7 x + (2 x - 1) = 9 x + 1$
$\frac{1}{2} x + (3 - \frac{1}{2} x) = 3$
$5 x - (8 - 6 x) = - x - 8$
$0.4 x - (0.2 x + 8) = 0.2 x - 8$
$6 x - (2 x - 4) = 4 x + 4$

Problem 4

Match each situation with its inequality.

The library is having a party for any student who read at least 25 books over the summer. Priya read $x$ books and was invited to the party.
Kiran read $x$ books over the summer but was not invited to the party.

$x < 25$
$x > 25$
$x \leq 25$
$x \geq 25$

Problem 5 From Unit 2 Lesson 17

A line is represented by the equation $\frac{y}{x - 2} = \frac{3}{11}$ . What are the coordinates of some points that lie on the line? Graph the line on graph paper.

Problem 6

Select all the statements that must be true for any scaled copy $Q$ of Polygon $P$ .

Angle measures of Polygon P clockwise from bottom left, in degrees, 90, 125, 35, 250, 80, 135.

The side lengths are all whole numbers.
The angle measures are all whole numbers.
$Q$ has exactly 1 right angle.
If the scale factor between $P$ and $Q$ is $\frac{1}{5}$ , then each side length of $P$ is multiplied by $\frac{1}{5}$ to get the corresponding side length of $Q$ .
If the scale factor is 2, each angle in $P$ is multiplied by 2 to get the corresponding angle in $Q$ .
$Q$ has 2 acute angles and 3 obtuse angles.