HMS 8th Grade Inequalities Review

HMS Inequalities Review:
Pre-Algebra

We used this table to match everyday words and phrases to inequality symbols.
Look over the vocabulary to prepare for the next three questions:

Or <=

Or >=

Remember that the alligator mouth opens towards the larger
quantity. “10 is greater than 4”

Multiple Choice

Select the inequality that best matches this situation:

"You may eat at most 9 Hershey's Kisses (k)."

• $$k\ <9$$

• $$k\ \ge\ 9$$

• $$k\ >\ 9$$

• $$k\ \le9$$

Multiple Choice

Select the inequality that best matches this situation:

"The number of students (s) in the class must be fewer than 30."

• $$s\ <\ 30$$

• $$s\ \ge30$$

• $$s\ >\ 30$$

• $$s\ \le30$$

Multiple Choice

Select the inequality that best matches this situation:

"A passing score (s) on the SOL is at least 400 ."

• $$s\ <\ 400$$

• $$s\ \ge\ 400$$

• $$s\ >\ 400$$

• $$s\ \le\ 400$$

Remember that a line
under an inequality sign
can be thought of as the
bottom of an equal sign.
For instance, we say “X
is greater than or equal
to 3” In these cases we
use solid/closed points
to indicate that 3 is part
of the solution. An open
point means that 3 is not
part of the solution.

Multiple Choice

Select the inequality represented by this graph:

• $$x\ \le2$$

• $$x\ >\ 2$$

• $$x\ <\ 2$$

• 
  $$x\ \ge2$$

Multiple Choice

Select the inequality represented by this graph:

• $$x\ \le6$$

• $$x\ >\ 6$$

• $$x\ <\ 6$$

• 
  $$x\ \ge6$$

Multiple Choice

Select the inequality represented by this graph. You will need to solve a one step inequality (by dividing):

• $$6x\ \le6$$

• $$-3x\ >\ 3$$

• $$-4x\ <\ 4$$

• 
  $$-5x\ \ge5$$

Look over this example. Follow the same steps
used to solve an equation…but remember that
we have to flip the inequality sign if we multiply
or divide by a negative number during our last
step.

Multiple Choice

Solve the following inequality for the variable x:

-4x - 5 < 19

• x > -6

• x < 6

• x > 6

• x < -6

Multiple Choice

Solve the following inequality for the variable x:

5(x - 3) > 20

• x > -7

• x < 7

• x > 7

• x < -7

That’s all Folks!

Well, not quite. You may encounter inequality
problems that require the combining of like
terms, and/or getting variables to one side.
You have reviewed the use of these
simplification strategies…and you are ready!