Formative 3

Which inequality represents all possible solutions of $-2x\ <-8$  

• x < 16

• x >16

• x < 4

• x > 4

Answer explanation

Remember to flip the inequality symbol when dividing by a negative number.

Which of the following inequalities could be the result of the first step in solving the inequality $2(m+3)\ \ge6m\ -11$  

•  $m+3\ \ge\frac{6}{2}m-11$  

•  $m-3\ge6m-13$  

•  $2m+3\ge6m-11$  

•  $2m+6\ge6m-11$  

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• 300x + 10 ≥ 2000
• 10x + 300 ≤ 2000
• 10x + 300 > 2000
• 300 + 10x ≥ 2000

Match the inequality to the word problem.

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200
• 25 + 12x ≥ 200
• 13x ≥ 200
• 25 + 12x > 200

Which of the following is true of the given graph?

y ≥ -2x + 1

• The graph is a dotted line, shaded above.

• The graph is a solid line, shaded above.

• The graph is a dotted line, shaded below.

• The graph is a solid line, shaded below.

Where would you find a solution for

y < -x + 4

• In the shaded region above the line.

• In the shaded region below the line.

• On the line.

• On the origin.

How can I tell if an inequality will have a dashed line?

• It has an equal sign.

• The symbol is greater than or less than.

• The symbol has "or equal to."

• You just guess.

If the inequality symbol is  $\le$   or  $\ge$ , the line will be  ___________.

• solid

• dotted

If the inequality symbol is  $>$  or  $\ge$  you shade ________.

• above

• below

If the inequality symbol is  $<$  or  $\le$   you shade ________.

• above

• below