What is the solution to the inequality $$-3x + 12

To solve the inequality $$-3x + 12 -2$$ .

What is the significance of the 'greater than' symbol (>) in inequalities?

The 'greater than' symbol (>) indicates that the value on the left side of the inequality is larger than the value on the right side. For example, $$x > 3$$ means x is any number greater than 3.

How do you interpret the solution of an inequality graphically?

The solution of an inequality can be represented on a number line, where the solution set is shown as a shaded region or an open/closed dot indicating whether the endpoint is included.

What is a variable in mathematics?

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations. For example, in $$x + 5 = 10$$ , x is the variable.

What does it mean to solve for a variable?

To solve for a variable means to isolate the variable on one side of the equation or inequality to find its value. For example, solving $$2x = 10$$ gives $$x = 5$$ .

What is the purpose of using parentheses in mathematical expressions?

Parentheses are used in mathematical expressions to indicate which operations should be performed first. For example, in $$(2 + 3) \times 4$$ , you add 2 and 3 before multiplying by 4.

What is the relationship between addition and subtraction in equations?

Addition and subtraction are inverse operations. This means that if you add a number to one side of an equation, you must subtract the same number from the other side to maintain equality.

What is the importance of understanding the order of operations?

Understanding the order of operations is crucial for correctly evaluating mathematical expressions. The order is typically remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

How can you check if your solution to an inequality is correct?

You can check if your solution to an inequality is correct by substituting the solution back into the original inequality to see if it holds true. For example, if you found $$x > -2$$ , test a value like -1 to see if it satisfies the inequality.

Math 7 Review - Fall 2024 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an inequality?

Back

2.

FLASHCARD QUESTION

Front

How do you represent the total number of items added over time using an inequality?

Back

3.

FLASHCARD QUESTION

Front

What is the formula to find the price of one item when given total cost and change received?

Back

4.

FLASHCARD QUESTION

Front

What does it mean for two expressions to be equivalent?

Back

5.

FLASHCARD QUESTION

Front

How do you calculate the perimeter of a figure?

Back

The perimeter of a figure is calculated by adding the lengths of all its sides. For example, if a figure has sides represented by expressions, you would sum those expressions to find the perimeter.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the difference between an equation and an inequality?

Back

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