Solving Cubic and Cube Root Equations (Lesson 5.2 Exit Ticket)))

Solve @@rac[3]{9a + 45} = 3@@

• a = -2

• a = 1

• a = 3

• a = -5

Solve for x: x³ = -64

• x = 4

• x = -4

• x = 0

• x = -2

How do you check if a number is a solution to a cube root equation?

• Substitute the number back into the original equation and verify if both sides are equal.

• Multiply the number by itself three times.

• Add the number to both sides of the equation.

• Take the square root of the number and compare it to the original equation.

What is a cube root?

• The cube root of a number x is a number y such that y³ = x. It is denoted as ∛x.

• The cube root of a number x is a number y such that y² = x. It is denoted as √x.

• The cube root of a number x is a number y such that y⁴ = x. It is denoted as ∜x.

• The cube root of a number x is a number y such that y = x/3.

What is the value of ∛-8?

• -1

• -2

• 2

• 1

Solve for x: x³ - 1 = 0

• x = 0

• x = -1

• x = 1

• x = 2

Solve @@\sqrt[3]{z+3}=2@@

• z=3

• z=4

• z=5

• z=6

Solve for x: (3x + 1)³ = 64

• x = 0

• x = 1

• x = 2

• x = -1

What is the cube of a number?

• The cube of a number x is x multiplied by itself three times, denoted as x³ = x * x * x.

• The cube of a number x is x added to itself three times, denoted as x³ = x + x + x.

• The cube of a number x is the square of x multiplied by 2, denoted as x³ = x² * 2.

• The cube of a number x is the product of x and its square root, denoted as x³ = x * {x}.

Solve for x: x³ = 27

• x = 1

• x = 2

• x = 3

• x = 4