Pre Algebra warm up Wednesday 12/4

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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

What does it mean to solve an inequality?

Back

Solving an inequality involves finding all values of the variable that make the inequality true.

Tags

CCSS.6.EE.B.8

Front

What is the solution set of an inequality?

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The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How do you graph an inequality on a number line?

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To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that represents the solution set.

Tags

CCSS.6.EE.B.8

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) do include the endpoints.

Tags

CCSS.6.EE.B.8

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

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How do you isolate a variable in an inequality?

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To isolate a variable, perform the same operations on both sides of the inequality, just like with equations. Remember to reverse the inequality sign if you multiply or divide by a negative number.

Tags

CCSS.6.EE.B.8

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or'. For example, x > 1 and x < 5.

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What does it mean for a number to be in the solution set of an inequality?

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A number is in the solution set of an inequality if it makes the inequality true when substituted for the variable.

Tags

CCSS.6.EE.B.5

Front

How do you check if a number is a solution to an inequality?

Back

To check if a number is a solution, substitute it into the inequality and see if the statement is true.

Tags

CCSS.6.EE.B.5