Solving Equations and Functions

The video tutorial covers solving algebraic equations involving variables x, y, and b. It begins with finding the value of x in an equation and evaluating x-7 squared. Next, it determines the value of y when d equals 3 by testing different answer choices. The tutorial then calculates an expression involving the square root of b. Finally, it solves for b in a function h(x) defined by 7x + 25. Each section involves step-by-step calculations and logical reasoning to arrive at the correct answers.

What is the first step in solving the equation to find the value of x?

• Divide both sides by 5

• Multiply both sides by 5

• Add 12 to both sides

• Subtract 12 from both sides

After finding the value of x, what is the next step to calculate (x - 7)^2?

• Subtract 7 from x and then square the result

• Divide x by 7

• Multiply x by 7

• Add 7 to x and then square the result

Which answer choice correctly represents the value of y if d equals 3?

• y = 1

• y = 4

• y = 2

• y = 7

What is the purpose of squaring both sides of the equation in the radical problem?

• To eliminate the radical

• To find the value of y

• To simplify the equation

• To factor the trinomial

What are the two numbers that multiply to 14 and add to -9 in the trinomial?

• 9 and 5

• -9 and -5

• -7 and -2

• 7 and 2

If the square root of b is 4, what is the value of b?

• 20

• 8

• 12

• 16

What is the cube root of 64?

• 5

• 4

• 3

• 2

In the function h(x) = 7x + 25, what is h(b/4) when the square root of h(b/4) equals 9?

• 7b/4 - 9

• 7b/4 + 25

• 7b/4 - 25

• 7b/4 + 9

What is the final value of b in the function problem?

• 40

• 16

• 24

• 32

What operation is performed after finding b/4 = 8 to solve for b?

• Add 4 to both sides

• Divide both sides by 4

• Subtract 4 from both sides

• Multiply both sides by 4