Mastering Quadratic Equations in Vertex Form

This video tutorial teaches how to solve quadratic equations in vertex form using the SADMAP method, which is the reverse of PEMDAS. The instructor provides a step-by-step guide, starting with addition and subtraction, followed by division and multiplication, then exponents, and finally parentheses. Several examples are worked through, including those involving radicals, with a focus on simplifying square roots. The video concludes with a caution about handling square roots and emphasizes the importance of leaving solutions in exact form.

What is the inverse of the order of operations (PEMDAS) used for solving equations?

• SADMAP

• MAPSAD

• DASMAP

• MAPDAS

Tags

CCSS.HSA-REI.B.4B

In the equation 3(x + 2)^2 = 27, what is the first step according to SADMAP?

• Divide both sides by 3

• Take the square root of both sides

• Subtract 2 from both sides

• Add 27 to both sides

Tags

CCSS.HSA-REI.B.4B

After adding 27 to both sides in the equation 3(x + 2)^2 = 27, what is the next step?

• Take the square root of both sides

• Subtract 2 from both sides

• Divide both sides by 3

• Multiply both sides by 3

Tags

CCSS.HSA-REI.B.4B

What must be added to the square root when solving the equation (x + 2)^2 = 9?

• Neither positive nor negative square roots

• Both positive and negative square roots

• Only the negative square root

• Only the positive square root

Tags

CCSS.HSA-REI.B.4B

In the equation 5(x - 1)^2 - 80 = 0, what is the first step according to SADMAP?

• Divide both sides by 5

• Add 80 to both sides

• Subtract 80 from both sides

• Multiply both sides by 5

Tags

CCSS.HSA-REI.B.4B

After dividing both sides by 5 in the equation 5(x - 1)^2 = 80, what is the next step?

• Take the square root of both sides

• Subtract 1 from both sides

• Add 1 to both sides

• Multiply both sides by 5

When simplifying the square root of 75, what is the largest perfect square factor?

• 35

• 5

• 15

• 25

Why is it important to leave solutions in exact form with radicals?

• To make calculations easier

• To simplify the equation

• To avoid rounding errors

• Because it looks better

Tags

CCSS.HSA-REI.B.4B

In the equation 3(x - 4)^2 - 96 = 0, what is the first step according to SADMAP?

• Add 96 to both sides

• Divide both sides by 3

• Subtract 96 from both sides

• Multiply both sides by 3

What is the simplified form of the square root of 32?

• 4√2

• 8√2

• 16√2

• 2√8