Algebra Inequalities Quiz

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Questions and Answers

How would you solve the inequality x + 5 > 3 and what is the solution?

The solution is x > -2.

Write the inequality that represents Eleanor driving below the speed limit of 55 mph.

The inequality is x < 55.

What is the maximum additional speed Eleanor can drive without exceeding the speed limit?

Eleanor can increase her speed by a maximum of 1 mph.

Solve the inequality x + 10 ≥ 14 and describe the solution.

The solution is x ≥ 4. Signup and view all the answers

If the maximum number of students in an art class is 26 and there are currently 16 students, how many more can be added?

A maximum of 10 more students can be added. Signup and view all the answers

What is the solution to the inequality `x + 10 ≥ 14`, and how is it derived?

The solution is <code>x ≥ 4</code>, obtained by subtracting 10 from both sides of the inequality. Signup and view all the answers

In the inequality `x - 20 ≤ -11`, what steps do you take to find the solution?

Add 20 to both sides to get <code>x ≤ 9</code>. Signup and view all the answers

If the inequality `x + c > -2.55` has the solution `x > 4.85`, what is the value of `c`, and how is it calculated?

The value of <code>c</code> is <code>2.3</code>, calculated by rearranging the inequality to isolate <code>c</code>. Signup and view all the answers

Rina has to climb a certain distance to reach the peak. How would you express this distance using an inequality, if she is currently 9695 feet up a mountain that is 12358 feet high?

The inequality to express the remaining distance is <code>d ≥ 12358 - 9695 = 2663</code> ft. Signup and view all the answers

How many more students can join the art class if the maximum is 26 and there are currently 16 students signed up?

10 more students can join, calculated as <code>26 - 16 = 10</code>. Signup and view all the answers

Flashcards

Inequality

A mathematical statement showing that one value is greater than, less than, or equal to another value. It uses symbols like > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).

Graphing Inequalities

A way to represent the solutions of an inequality on a number line. It can include open circles (for > or <) or closed circles (for ≥ or ≤).

Speed Limit

The maximum speed allowed on a road. It's usually indicated by a sign.

Solving Inequalities

To find the range of values that satisfy an inequality, you use mathematical operations like addition, subtraction, multiplication, and division to isolate the variable.