How to simplify 2x + 3 + 5x - 6

Combine like terms to get 7x - 3

How to simplify 3(2x - 5) + 3x

Distribute 3 and combine like terms to get 9x - 15

How to solve 2x + 3 > 11

Subtract 3 from both sides, then divide by 2. x > 4

Subtract 3 from both sides to get -2x > 8, then divide by -2 and reverse the inequality to get x < -4

Use an open circle to graph an inequality on a number line

Use an open circle for inequalities with .

Use a closed circle to graph an inequality on a number line

Use a closed circle for inequalities with ≤ or ≥.

The range consists of all possible output (y) values of a function.

The domain consists of all possible input (x) values of a function.

Find f(3) for f(x) = -2x + 3

Substitute 3 for x in the equation: f(3) = -2(3) + 3 = -6 + 3 = -3.

Find C(-3) for C(t) = 3t + 6

Substitute -3 for t in the equation: C(-3) = 3(-3) + 6 = -9 + 6 = -3.

f(x) = -2x + 3; Find x if f(x) = 11.

Set -2x + 3 = 11 and solve for x. x = -4

Input (x) and Output (y) mapping diagram with unique outputs for each input.

Yes, each input has a unique output.

Graph with a straight line.

Yes, it passes the vertical line test.

No, it does not pass the vertical line test.

(2, 4), (-2, 5), (3, -6), (2, -5)

No, the input 2 has two different outputs.

(2, 4), (-2, 5), (3, -6), (-3, -5)

Yes, each input has a unique output.

The following is a function.

Yes, each x-value is paired with exactly one y-value.

Finding the slope from a graph.

Calculate the rise over run between two points on the line.

Finding slope from two points.

Use the formula $$\frac{y_2 - y_1}{x_2 - x_1}$$ .

Formula for point-slope form

The formula for point-slope form is y - y_1 = m(x - x_1).

Relationship of slopes for two parallel lines

The slopes of two parallel lines are equal.

Relationship of slopes for two perpendicular lines

The slopes of two perpendicular lines are negative reciprocals of each other.

The formula for slope is m = (y_2 - y_1) / (x_2 - x_1).

Slope of any line perpendicular to y = 2x + 3

The slope of any line perpendicular to y = 2x + 3 is $$-\frac{1}{2}$$ .

Slope of any line parallel to y = 2x + 3

The slope of any line parallel to y = 2x + 3 is 2.

Equation of the line with an x-intercept of 2 and a y-intercept of -3

The equation of the line is y = $$\frac{3}{2}$$ x - 3.

Equation of a line that goes through (2, 5) and (-2, 3)

The equation of the line is y = $$\frac{1}{2}$$ x + 4.

Equation of a line with a slope of 2 that goes through (3, -4)

The equation of the line is y + 4 = 2(x - 3).

Equation of the line from the graph

The equation of the line can be determined by identifying the slope and y-intercept from the graph.

Graph the line of 2x - 4y = -4.

Change Standard form to slope-intercept form: 2x + 5y = 10

Slope-intercept form: y = $$-\frac{2}{5}x + 2$$ .

Change point-slope form to slope-intercept form: y - 2 = $$\frac{1}{2} (x - 4)$$

Slope-intercept form: y = $$\frac{1}{2}x$$ + 0.

The x-intercept of: y = 3x - 10

The x-intercept is $$\frac{10}{3}$$ .

Two things to remember about x-intercepts: 1. The y-coordinate is always 0. 2. It is the point where the graph crosses the x-axis.

X-intercepts are points where the graph crosses the x-axis.

Algebraic Equations and Simplifications Flashcards

Student preview

100 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

Cross-multiply to eliminate the fractions.

x = 3

2.

FLASHCARD QUESTION

Front

Steps to solving 2x + 6 = -12

Back

Subtract 6 from both sides, then divide by 2.

x = -9

3.

FLASHCARD QUESTION

Front

How to solve 2x + 5 = 5x - 10

Back

Subtract 2x, add 10.

x = 5

4.

FLASHCARD QUESTION

Front

How to solve 2(x + 5) + 3x = 4x - 10

Back

Distribute 2 to parenthesis

combine like terms

Subtract 4x

Divide 3

x = -20

5.

FLASHCARD QUESTION

Front

Solve for x in ax + by = c

Back

6.

FLASHCARD QUESTION

Front

Solve for w in V = lwh

Back

7.

FLASHCARD QUESTION

Front

How to simplify 2(3x + 5)

Back

Distribute to get 6x + 10

Create a free account and access millions of resources

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

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

106 questions

IBDP Language and Literature Terms

Flashcard

•

12th Grade

109 questions

Pendawaian Elektrik Fasa Tunggal

Flashcard

•

12th Grade

78 questions

Kosakata Waktu JLPT N5

Flashcard

•

12th Grade

61 questions

Vocabulalary

Flashcard

•

University

59 questions

JTE301_Slot 13_NA

Flashcard

•

University

101 questions

Factores de Riesgo y Prevención

Flashcard

•

9th Grade

100 questions

Cottura degli Alimenti

Flashcard

•

University

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

9 questions

FOREST Community of Caring

Lesson

•

1st - 5th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

14 questions

General Technology Use Quiz

Quiz

•

8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

19 questions

Thanksgiving Trivia

Quiz

•

6th Grade

Discover more resources for Mathematics

34 questions

Geometric Terms

Quiz

•

9th - 12th Grade

16 questions

Proportional Relationships And Constant Of Proportionality

Quiz

•

7th - 12th Grade

20 questions

Simplifying Radicals

Quiz

•

10th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

16 questions

Function or Non-Function?

Quiz

•

8th - 10th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

56 questions

CCG 2.2.3 Area

Quiz

•

9th - 12th Grade

20 questions

Triangle Congruence

Quiz

•

9th - 10th Grade