Algebraic Proofs in Saxon Geometry

This video tutorial introduces students to the concept of proofs in geometry, focusing initially on algebraic proofs. It provides step-by-step solutions to algebraic equations, demonstrating the use of properties like subtraction and division of equality. The tutorial also includes exercises on reordering proof steps and applying proofs to find dimensions of a rectangular shed. The aim is to help students understand and practice the logical process of proving mathematical statements.

What is a proof in the context of geometry?

• A type of equation

• A geometric shape

• An argument that uses logic to show a conclusion is true

• A set of calculations

What is the first step in solving the equation x + 5 = 4x + 2?

• Add 4x to both sides

• Subtract 4x from both sides

• Multiply both sides by 2

• Divide both sides by 4

After simplifying x - 4x + 5 = 4x - 4x + 2, what is the resulting equation?

• 3x + 5 = 2

• -3x + 5 = 2

• x + 5 = 2

• -3x = 2

Tags

CCSS.8.EE.C.7A

What property is used when you subtract 5 from both sides of the equation?

• Addition property of equality

• Multiplication property of equality

• Subtraction property of equality

• Division property of equality

Tags

CCSS.HSA.REI.A.1

What is the final value of x in the equation x + 5 = 4x + 2?

• x = 2

• x = 1

• x = 3

• x = -1

What is the first step in solving the equation 4x + 5/3 = 5x + 7/4?

• Add 3 to both sides

• Multiply both sides by 12

• Subtract 5 from both sides

• Divide both sides by 4

What property is used when you multiply both sides of an equation by the same number?

• Addition property of equality

• Multiplication property of equality

• Subtraction property of equality

• Division property of equality

Tags

CCSS.HSA.REI.A.1

What is the correct order of steps in the proof for 2/3 x + 6 = 4 - 2x?

• Division, Multiplication, Subtraction, Addition

• Addition, Subtraction, Multiplication, Division

• Subtraction, Multiplication, Addition, Division

• Multiplication, Subtraction, Addition, Division

What is the given area of the rectangular shed?

• 40 y squared

• 60 y squared

• 30 y squared

• 50 y squared

Tags

CCSS.8.EE.A.2

What are the dimensions of the shed if x = 6?

• Length = 7, Width = 6

• Length = 7, Width = 5

• Length = 8, Width = 6

• Length = 8, Width = 5