What is the process to factor the expression $$20x - 30$$ ?

To factor $$20x - 30$$ , find the greatest common factor (GCF), which is 10. The factored form is $$10(2x - 3)$$ .

How do you multiply fractions? Example: $$\left(\frac{2x}{3y}\right)\left(\frac{9x}{4x^2}\right)$$

To multiply fractions, multiply the numerators and the denominators: $$\frac{2x \cdot 9x}{3y \cdot 4x^2} = \frac{18x^2}{12xy} = \frac{3}{2y}$$ after simplification.

If a computer is 22% off, how do you calculate the sale price $$c$$ ?

The sale price is calculated as: Sale Price = Original Price - Discount = $$c - 0.22c = 0.78c$$ .

If $$\frac{1}{2} in = 10 miles$$ , how do you find $$x miles$$ ?

Set up a proportion: $$\frac{1/2}{10} = \frac{1}{x}$$ . Solving gives $$x = 20$$ .

What is the greatest common factor (GCF)?

The GCF is the largest number that divides two or more numbers without leaving a remainder.

How do you simplify the expression $$\frac{18xy}{12y^2}$$ ?

Divide the numerator and denominator by their GCF, which is 6y: $$\frac{3x}{2y}$$ .

What is the formula for calculating a percentage discount?

Percentage Discount = (Discount Amount / Original Price) * 100.

What does it mean for a function to be increasing?

A function is increasing if, as the input values increase, the output values also increase.

How do you find the value of $$g(0)$$ for the function $$j(x) = \frac{x}{x-1}$$ ?

Substituting x=0 gives $$g(0) = \frac{0}{0-1} = 0$$ .

What is the significance of the expression $$c - 0.22c$$ in pricing?

It represents the remaining price after a 22% discount is applied to the original price $$c$$ .

What is the relationship between fractions and division?

Fractions represent division; for example, $$\frac{a}{b}$$ means 'a divided by b'.

How do you determine if two expressions are equivalent?

Two expressions are equivalent if they simplify to the same value for all values of their variables.

TSIA2 Math Practice Test Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.A.1

2.

FLASHCARD QUESTION

Front

Back

The expression that is NOT equivalent is 5(6x-4).

Tags

CCSS.6.EE.A.4

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.D.7

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.B.6

5.

FLASHCARD QUESTION

Front

Back

It implies that the value of the function at x=10 is greater than at x=20, indicating the function is increasing in that interval.

Tags

CCSS.HSF.IF.A.2

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.RP.A.3B

7.

FLASHCARD QUESTION

Front

What is the definition of a factor in mathematics?

Back

A factor is a number or algebraic expression that divides another number or expression evenly, without leaving a remainder.

Tags

CCSS.4.OA.B.4

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