What is set notation?

Set notation is a mathematical way to represent a collection of objects, typically written in curly braces. For example, the set of solutions can be represented as $$\{x_1, x_2\}$$ .

How do you solve for a variable in a proportion?

To solve for a variable in a proportion, cross-multiply and then isolate the variable. For example, if $$\frac{a}{b} = \frac{c}{d}$$ , then $$a \cdot d = b \cdot c$$ .

What is the difference between an equation and an expression?

An equation states that two expressions are equal, typically containing an equals sign (e.g., $$x + 2 = 5$$ ), while an expression is a combination of numbers, variables, and operations without an equals sign (e.g., $$x + 2$$ ).

What does it mean to solve an equation?

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

What is the importance of checking your solution?

Checking your solution is important to verify that the value(s) found satisfy the original equation, ensuring accuracy and correctness.

What is a linear equation?

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it can be written in the form $$ax + b = 0$$ .

How do you handle equations with fractions?

To handle equations with fractions, you can multiply both sides of the equation by the least common denominator (LCD) to eliminate the fractions.

What is the solution set of an equation?

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

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Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.C.7B, HSA-REI.B.4B, 6.EE.B.7

Standards-aligned

Wayground Content

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15 questions

Show all answers

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

How do you solve an equation with absolute values?

Back

FLASHCARD QUESTION

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation. This includes adding, subtracting, multiplying, or dividing by the same number, ensuring to maintain the equality.

Tags

CCSS.6.EE.B.7

FLASHCARD QUESTION

Front

What does it mean to write an answer in simplest form?

Back

Writing an answer in simplest form means expressing it in the most reduced or compact way, such as reducing fractions or simplifying radicals.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

How do you convert Celsius to Fahrenheit?

Back

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

FLASHCARD QUESTION

Front

What is the first step in solving a linear equation?

Back

The first step in solving a linear equation is to simplify both sides of the equation, which may include distributing, combining like terms, and eliminating fractions.

Tags

CCSS.8.EE.C.7B

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