What is the sum of $$\frac{6}{k-4}$$ and $$\frac{k+8}{k^2+2k-24}$$ ?

The sum is $$\frac{7k+44}{(k-4)(k+6)}$$ .

How do you find the difference of $$\frac{9}{x-6}$$ and $$\frac{3}{x}$$ ?

The difference is $$\frac{6x+18}{x(x-6)}$$ .

What is the quotient of $$\frac{n+3}{8n^2+24n}$$ and $$\frac{n-1}{5n}$$ ?

The quotient is $$\frac{5}{8(n-1)}$$ .

Simplify $$\frac{x^2-4x-12}{x+2}$$ .

The simplified form is $$x-6$$ .

What is the definition of a polynomial?

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

What is the formula for factoring a quadratic equation?

The quadratic equation $$ax^2 + bx + c = 0$$ can be factored as $$a(x - r_1)(x - r_2)$$ where $$r_1$$ and $$r_2$$ are the roots.

What is the difference between a matrix and a scalar?

A matrix is a rectangular array of numbers, while a scalar is a single number.

How do you simplify $$\frac{a^2 - b^2}{a - b}$$ ?

The simplified form is $$a + b$$ .

What is the definition of a variable in mathematics?

A variable is a symbol used to represent an unknown value.

What is the process for multiplying fractions?

Multiply the numerators together and the denominators together.

What is the definition of a linear equation?

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.

What is the importance of finding a common denominator in fraction operations?

Finding a common denominator allows for the addition or subtraction of fractions.

AA C&C Final Exam Review Units 5 & 7 Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

Perform matrix addition and scalar multiplication as per matrix operations.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials.

7.

FLASHCARD QUESTION

Front

What is the process to add fractions with different denominators?

Back

Find a common denominator, convert each fraction, and then add the numerators.

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