Unit 4 Review

Front

What is the conversion factor from inches to miles?

Back

1 mile = 63,360 inches.

Front

How do you solve the inequality -2x + 3(-4x + 6) ≤ 116?

Back

First, simplify the left side: -2x - 12x + 18 ≤ 116, then combine like terms: -14x + 18 ≤ 116. Subtract 18 from both sides: -14x ≤ 98. Finally, divide by -14 (remember to flip the inequality): x ≥ -7.

Front

What type of circle is used when graphing inequalities with ≤ or ≥?

Back

A closed circle is used for ≤ or ≥.

Front

How do you convert meters per second to miles per hour?

Back

To convert meters per second to miles per hour, multiply by 2.23694.

Front

What inequality represents John's requirement to pass his Math class?

Back

J ≥ 80, where J is the score on his next test.

Front

What is the formula to convert inches to miles?

Back

Miles = Inches ÷ 63,360.

Front

What does a closed circle indicate on a number line?

Back

A closed circle indicates that the number is included in the solution set (≤ or ≥).

Front

What is the process for solving a linear inequality?

Back

1. Isolate the variable on one side. 2. Perform the same operation on both sides. 3. If you multiply or divide by a negative number, flip the inequality sign.

Front

How do you convert 130 meters per second to miles per hour?

Back

130 m/s × 2.23694 = 290.73 mph.

Front

What is the significance of the inequality symbol in application problems?

Back

Inequality symbols indicate a range of possible solutions rather than a single value.