How do you factor the expression $$30x^2 - 4x - 16$$ ?

To factor $$30x^2 - 4x - 16$$ , look for two numbers that multiply to $$30 \times -16$$ and add to $$-4$$ .

How do you simplify the expression $$\frac{c^8(d^6)^3}{c^2}$$ ?

To simplify, subtract the exponents: $$c^{8-2}d^{6 \times 3} = c^6d^{18}$$ .

What is a quadratic equation?

A quadratic equation is a polynomial equation of the form $$ax^2 + bx + c = 0$$ , where $$a, b, c$$ are constants and $$a \neq 0$$ .

What does it mean to complete the square?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form $$(x - p)^2 = q$$ .

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ , used to find the solutions of a quadratic equation.

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

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

What is the difference between a linear equation and a quadratic equation?

A linear equation has the form $$y = mx + b$$ , while a quadratic equation has the form $$y = ax^2 + bx + c$$ , which includes an x-squared term.

Algebra 1 STAAR Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a factor in algebra?

Back

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

2.

FLASHCARD QUESTION

Front

What is the process to solve a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Tags

CCSS.6.EE.A.4

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

7.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

Tags

CCSS.6.EE.A.3

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