What is the slope of a line perpendicular to the line represented by the equation $$y=-\frac{2}{7}x-5$$ ?

The slope of a line perpendicular to $$y=-\frac{2}{7}x-5$$ is the negative reciprocal of -\frac{2}{7}, which is $$\frac{7}{2}$$ .

What are the steps to solve the equation $$9x^2-2x=3$$ ?

1. Rearrange the equation to standard form: $$9x^2-2x-3=0$$ . 2. Use the quadratic formula $$x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ where a=9, b=-2, c=-3.

Convert the quadratic function $$y=-4(x+4)^2+2$$ to standard form.

Expand the equation: $$y=-4(x^2+8x+16)+2 = -4x^2-32x-64+2 = -4x^2-32x-62$$ .

What is the vertex of a parabola in standard form $$y=ax^2+bx+c$$ ?

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ to find the x-coordinate, then substitute back to find the y-coordinate.

What is the definition of a quadratic function?

A quadratic function is a polynomial function of degree 2, typically in the form $$y=ax^2+bx+c$$ where $$a\neq0$$ .

What is the significance 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 a direct variation?

Direct variation describes a relationship where one variable is a constant multiple of another, expressed as $$y=kx$$ where $$k$$ is a non-zero constant.

How do you determine if a point lies on a line represented by an equation?

Substitute the x-coordinate of the point into the equation and see if the resulting y-coordinate matches the y-coordinate of the point.

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

The slope $$m$$ is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ where $$a, b, c$$ are constants and $$a\neq0$$ .

What is a zero of a function?

A zero of a function is a value of $$x$$ that makes the function equal to zero, indicating where the graph intersects the x-axis.

Algebra 1 STAAR Review (#2) Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

If Jon pays $8.75 for 5 gallons of gas, how do you find the cost for 32 gallons?

Back

To find the cost for 32 gallons, use the direct variation formula: Cost = (Cost per gallon) * (Number of gallons). First, find the cost per gallon: $8.75 / 5 = $1.75. Then, multiply by 32: $1.75 * 32 = $56.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What does it mean if a graph has a maximum value?

Back

A maximum value means the highest point on the graph, indicating the greatest output value of the function.

6.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a function?

Back

7.

FLASHCARD QUESTION

Front

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

14 questions

CADEIA ALIMENTAR

Flashcard

•

KG

10 questions

English 10 (Final Round)

Flashcard

•

10th Grade

7 questions

Lei de Arquimedes

Flashcard

•

9th Grade

10 questions

Aparato Respiratorio

Flashcard

•

KG

10 questions

Flashcard Staffette

Flashcard

•

9th Grade

11 questions

Barreras del aprendizaje

Flashcard

•

KG

11 questions

Age of Exploration Review

Flashcard

•

9th Grade

15 questions

Potenciação e Radiciação

Flashcard

•

9th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

11 questions

FOREST Effective communication

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Box and Whisker Plots

Quiz

•

9th Grade

18 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

23 questions

CCG - CH8 Polygon angles and area Review

Quiz

•

9th - 12th Grade