Modeling and Solving Equations and Inequalities

The video tutorial covers modeling and solving equations and inequalities. It begins with an introduction to setting up models for equations, followed by detailed examples of solving equations like 3x - 4 = 8 and 2x + 7 = -11. The tutorial then transitions to solving inequalities, explaining the process with examples such as x - 4 < 5 and -3x + 12 < 21. Key concepts include moving constants, canceling pairs, and flipping inequality symbols when necessary.

What is the first step in solving an equation after setting up the model?

• Add all constants together

• Move all constants to the right side

• Move all constants to the left side

• Divide all constants by the variable

Tags

CCSS.HSA.REI.A.1

In the equation 3x - 4 = 8, what is the value of x?

• 5

• 4

• 3

• 2

Tags

CCSS.7.EE.B.4A

For the equation 2x + 7 = -11, what is the value of x?

• -5

• -7

• -3

• -9

Tags

CCSS.7.EE.B.4A

In the equation -x + 4 = 9, what is the value of x?

• -5

• 5

• -9

• 9

Tags

CCSS.6.EE.B.7

For the equation -5x - 8 = -13, what is the value of x?

• -5

• 1

• 5

• -1

Tags

CCSS.7.EE.B.4A

When solving inequalities, what must you do if x is negative?

• Add the inequality symbol

• Multiply the inequality symbol

• Subtract the inequality symbol

• Flip the inequality symbol

Tags

CCSS.6.EE.B.8

In the inequality x - 4 < 5, what is the value of x?

• 4

• 3

• 2

• 1

Tags

CCSS.7.EE.B.4B

For the inequality -3x + 12 < 21, what is the value of x?

• -3

• 3

• 7

• -7

Tags

CCSS.7.EE.B.4B

In the inequality 4x - 7 <= -11, what is the value of x?

• -1

• 2

• 1

• -2

Tags

CCSS.7.EE.B.4B

For the inequality -8x - (-4) >= 28, what is the value of x?

• -3

• 4

• -4

• 3

Tags

CCSS.7.EE.B.4B