How do you factor the expression $$24x^2 - 22x + 5$$ ?

To factor $$24x^2 - 22x + 5$$ , look for two numbers that multiply to $$ac = 24 \times 5 = 120$$ and add to $$b = -22$$ . The factors are $$-20$$ and $$-6$$ , leading to the factorization $$(12x - 5)(2x - 1)$$ .

What is the process to solve the equation $$24x^2 - 22x = -5$$ ?

First, rearrange to $$24x^2 - 22x + 5 = 0$$ . Then, factor or use the quadratic formula to find the solutions, which are $$x = \frac{5}{12}$$ and $$x = \frac{1}{2}$$ .

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

What is the standard form of a linear equation?

The standard form of a linear equation is $$Ax + By = C$$ , where A, B, and C are integers, and A should be non-negative.

How do you solve a system of equations using substitution?

To solve a system using substitution, solve one equation for one variable and substitute that expression into the other equation.

What is the difference between a function and a relation?

A function is a special type of relation where each input (x-value) has exactly one output (y-value).

What is the vertex form of a quadratic function?

The vertex form of a quadratic function is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

How do you determine the x-intercepts of a quadratic function?

To find the x-intercepts, set the quadratic equation equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

What is the discriminant in a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ . It determines the nature of the roots: if D > 0, there are two real roots; if D = 0, there is one real root; if D

What is the importance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0. It helps in graphing the linear equation.

EOC PRACTICE ALGEBRA 1 PART 2 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the quadratic formula used to solve quadratic equations?

Back

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Define a linear equation.

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

5.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points, (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

7.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

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