Algebra Unit 3 Test Review

True or False: When solving an inequality, you must flip the sign when you subtract the same value from each side.

• True

• False

Answer explanation

This is false. You only flip the inequality sign when multiplying or dividing both sides by a negative.

• True

• False

• No Solution

Answer explanation

This one is tricky to solve by hand. I recommend using Desmos to check. You will see there is a solid line at x=7 with shading to the LEFT. That means x is less than or equal to 7.

• All Real Numbers

• No Solution

When solving an inequality, you have to flip the sign when multiplying or dividing by a ________ number.

• Sometimes

• Depends on the value of x

• False

• True

Answer explanation

Recommend Desmos for this one. You will see a dashed line at x=6 with shading to the left. Thus, x is less than 6.

• All Real Numbers

• No Solution

Answer explanation

Recommend solving by hand:

Multiply both sides by 3. Done!

• No solution
• All real numbers

Answer explanation

After distributing, we have a 2x on both sides. Thus, the variables cancel, leaving us with 6 > 2. This is TRUE. Thus, all real numbers.