Illustrative Math Alignment: Grade 8 Unit 3

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 2. In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the term on the other side of the equals sign is negative.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 3. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 4. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the number on the other side of the equals sign is negative.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 5. In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the x-term has a negative coefficient.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 6. In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the x-term has a negative coefficient and the term on the other side of the equals sign is negative.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 7. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the x-term has a negative coefficient.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 8. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the x-term has a negative coefficient and the term on the other side of the equals sign is negative.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 9. In this video learn the mechanics of solving a two-step equation involving addition and division.

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This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Addition.

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This is the transcript that goes with the video segment entitled Video: One-Step Equations: Division.

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This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Multiplication.

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This is the transcript that goes with the video segment entitled Video: One-Step Equations: Subtraction.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x + b), a negative, b negative.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x + b), a negative, b positive.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x + b), all constants positive.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x - b), a negative, b negative.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x - b), a negative, b positive.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x - b), all constants positive.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx + c), a negative, b and c positive.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx + c), all constants negative.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx + c), all constants positive.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx - c), a negative, b and c positive.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx - c), all constants negative.

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This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx - c), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x + b), a negative, b negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x + b), a negative, b positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x + b), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x - b), a negative, b negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x - b), a negative, b positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x - b), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

Topic

Equations

Description

This video explains converting a linear equation from standard form to slope-intercept form with positive A, B, and C values. Starting with Ax + By = C, key vocabulary includes slope, y-intercept, standard form, and simplification. The tutorial demonstrates isolating y by subtracting the x-term and dividing by the y coefficient, resulting in slope m and y-intercept b.

Topic

Equations

Description

This segment covers transforming a linear equation from standard to slope-intercept form with positive A and B and negative C. The equation Ax + By = C is manipulated to isolate y, using key terms like slope, y-intercept, and simplification. Steps include subtracting the x-term and dividing by the y coefficient to reveal slope m and y-intercept b.

Topic

Equations

Description

This tutorial details converting a linear equation where A and C are positive and B is negative from standard to slope-intercept form. Using Ax – By = C, vocabulary such as slope, intercept, and simplification is explored. By isolating y through subtraction and division, the video derives the slope and y-intercept values.

Topic

Equations

Description

This video explains converting a linear equation from standard form to slope-intercept form when A is positive, B is negative, and C is negative. Key steps include moving the x term to the right side, ensuring y has a coefficient of 1, and simplifying the equation. The coefficient of x becomes the slope, and the constant term is the y-intercept. Concepts covered include slope, y-intercept, and the properties of standard and slope-intercept forms.

Topic

Equations

Description

This video demonstrates converting linear equations with positive B and C and negative A from standard form to slope-intercept form. Starting with Ax + By = C, terms like slope and intercept are discussed. Adding the x-term and dividing by the y coefficient isolates y, leading to the slope-intercept equation.

Topic

Equations

Description

This video describes the process of converting equations when A and C are negative, and B is positive. The tutorial emphasizes balancing the equation by adding the x term to both sides, simplifying, and dividing to isolate y. The x coefficient is identified as the slope, and the constant term is the y-intercept. Key math concepts include coefficients, linear equations, and the transformation between forms.

Topic

Equations

Description

The video focuses on converting equations where A and B are negative, and C is positive. The steps involve isolating the y term by adding the x term to the right side, simplifying, and ensuring the y coefficient is 1. The coefficient of x represents the slope, and the constant is the y-intercept. Vocabulary includes slope, linear equations, and y-intercept.

Topic

Equations

Description

This tutorial demonstrates how to convert equations where all terms A, B, and C are negative. It follows a similar process of isolating y by adding the x term to both sides, simplifying, and dividing. The video clarifies that the x coefficient determines the slope and the constant term indicates the y-intercept. Covered concepts include linear equations, slope, and y-intercept.

Topic

Equations

Description

This tutorial explains solving one-step equations involving addition. Key math concepts include identifying the addition operation and isolating the variable to find the solution. Vocabulary includes terms like variable, isolate, and addition operation. The math application involves solving equations such as x + 2 = 5 by subtracting 2 from both sides to isolate the variable and find x = 3.

Topic

Equations

Description

This tutorial extends solving one-step equations involving addition with negative numbers. It focuses on isolating the variable and managing negative values. Vocabulary includes terms like variable, isolate, and negative number. The application includes equations like x + 4 = -9, solved by subtracting 4 from both sides to find x = -13.

Topic

Equations

Description

This tutorial explains solving one-step equations involving division. The key focus is on isolating the variable through multiplication. Vocabulary includes terms like variable, isolate, and division operation. For example, solving x / 5 = 4 involves multiplying both sides by 5 to find x = 20.

Topic

Equations

Description

This tutorial demonstrates solving one-step equations involving multiplication. Key concepts include identifying the multiplication operation and isolating the variable. Vocabulary includes terms like variable, isolate, and multiplication operation. The application involves equations like 2x = 10, solved by dividing both sides by 2 to find x = 5.

Topic

Equations

Description

This tutorial explores solving one-step equations involving subtraction. Key concepts include recognizing the subtraction operation and isolating the variable. Vocabulary includes terms like variable, isolate, and subtraction operation. The application demonstrates solving equations such as x - 3 = 5 by adding 3 to both sides to isolate the variable and find x = 8.

Topic

Equations

Description

This tutorial covers solving one-step equations involving subtraction with negative numbers. The focus is on isolating the variable while handling negative values. Vocabulary includes terms like variable, isolate, and negative number. An example involves solving x - 5 = -12 by adding 5 to both sides to find x = -7.

Topic

Equations

Description

This tutorial discusses solving quadratic equations in standard form with positive a, b, and c values. Key concepts include the quadratic formula, substitution, and identifying real roots. Vocabulary includes terms like quadratic formula, roots, and standard form. Applications demonstrate solving equations like 2x2 + 3x + 1 = 0 to find two real roots.

Topic

Equations

Description

This tutorial addresses quadratic equations with positive a and b and negative c values. It emphasizes the quadratic formula, substitution, and finding real roots. Vocabulary includes terms like quadratic formula, roots, and standard form. Applications include solving 5x2 + 6x - 2 = 0 to find two real roots.

Topic

Equations

Description

This video demonstrates solving a quadratic equation in standard form where a and c are positive, and b is negative. The standard form is ax2 + bx + c = 0. The quadratic formula is used, with step-by-step substitution of a = 4, b = -5, and c = 1 into the formula. Key vocabulary includes quadratic equation, quadratic formula, roots, and real numbers. The solution simplifies terms, notes the plus-minus for two roots, and determines the two real roots.

Topic

Equations

Description

The tutorial explores solving a quadratic equation in standard form with negative a and positive b and c values. The equation is ax2 + bx + c = 0. Substituting a = -6, b = 8, and c = 2 into the quadratic formula, the video explains simplification steps leading to two real roots. Key vocabulary includes quadratic equation, quadratic formula, roots, and real numbers. Simplifications in the square root and numerator emphasize the presence of two distinct solutions.

Topic

Equations

Description

This segment discusses solving quadratic equations with positive a and negative b and c. Using a = 7, b = -8, and c = -2, the quadratic formula is applied. Key terms include standard form, quadratic formula, real roots, and simplification. The process reveals two real roots after simplifying the square root and other terms in the formula.

Topic

Equations

Description

This video addresses solving a quadratic equation in standard form with negative a and c, and positive b. Substituting a = -8, b = 10, and c = -3 into the quadratic formula, the tutorial emphasizes key concepts such as standard form, quadratic formula, roots, and real solutions. Detailed steps simplify terms, revealing two distinct real roots.