How do you find the value of x in the proportion $$\frac{3}{2} = \frac{9}{x-2}$$ ?

Cross-multiply to get $$3(x-2) = 18$$ , then solve for $$x$$ to find $$x = 8$$ .

What is the value of $$x$$ in the proportion $$\frac{2}{12} = \frac{4}{6x}$$ ?

Cross-multiply to find $$x = 4$$ .

A ratio is a comparison of two quantities, expressed as $$a:b$$ or $$\frac{a}{b}$$ .

What is the relationship between proportions and ratios?

Proportions are equations that show two ratios are equal.

What does it mean to cross-multiply?

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

What is the solution to the equation $$\frac{(n-2)}{(n+1)} = \frac{7}{3}$$ ?

The solution is $$n = -3.25$$ .

What is the definition of a variable in an equation?

A variable is a symbol, often represented by a letter, that stands for an unknown value.

What is the first step in solving the equation $$3x + 2 = 11$$ ?

The first step is to isolate the variable by subtracting 2 from both sides, resulting in $$3x = 9$$ .

What does it mean for an equation to have 'all real numbers' as a solution?

It means that any value for the variable will satisfy the equation.

What is the solution to the equation $$x^2 - 4 = 0$$ ?

The solutions are $$x = 2$$ and $$x = -2$$ .

Proportions and Equations Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a proportion?

Back

Tags

CCSS.7.RP.A.2B

2.

FLASHCARD QUESTION

Front

How do you solve a proportion?

Back

Tags

CCSS.7.RP.A.2A

3.

FLASHCARD QUESTION

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' when there are no values that can satisfy the equation, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.B.7

5.

FLASHCARD QUESTION

Front

Back

The solution is 'no solution' because the equation simplifies to a contradiction.

Tags

CCSS.8.EE.C.7A

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.RP.A.2C

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