Algebra 1 Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

Tags

CCSS.6.EE.B.8

Front

How do you represent the solution of an inequality graphically?

Back

The solution of an inequality can be represented on a number line with open or closed circles indicating whether endpoints are included (closed) or not (open).

Tags

CCSS.6.EE.B.8

Front

What does the solution 'Infinite Solutions/ All numbers' mean in an equation?

Back

It means that any value of the variable satisfies the equation, indicating that the equation is true for all real numbers.

Tags

CCSS.8.EE.C.7A

Front

What is the process to solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, while remembering to reverse the inequality sign if you multiply or divide by a negative number.

Tags

CCSS.6.EE.B.8

Front

What does the notation 'x < -1 or x > 5' represent?

Back

This notation represents two separate intervals on a number line where x can take values less than -1 or greater than 5.

Front

Back

To solve, break it into two parts: 7 < 12 + c and 12 + c < 13. Solving these gives -5 < c < 1.

Front

Back

To solve, subtract 6p from both sides to get -2p < 12, then divide by -2 (reversing the inequality) to find p > -6.

Front

What is the difference between 'No Solution' and 'All Real #' in equations?

Back

'No Solution' means there are no values that satisfy the equation, while 'All Real #' means every real number is a solution.

Tags

CCSS.8.EE.C.7A

Front

What does the term 'isolating the variable' mean?

Back

Isolating the variable means rearranging an equation or inequality so that the variable is on one side and all other terms are on the opposite side.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or', to describe a range of values for a variable.