Solving Equations: A Comprehensive Challenge

What materials do you need to solve equations as mentioned in the introduction?

• A textbook, a pencil, and a calculator

• A ruler, a pencil, and a calculator

• A notebook, a pen, and a calculator

• Notes, a pencil, and a calculator

What does it mean to 'solve' an equation?

• To eliminate all variables from the equation

• To find the value that makes the equation true

• To rewrite the equation in a different form

• To simplify the equation

In Example 1, what is the first step to solve the equation 3(X + 4) = -2(X - 5)?

• Combine like terms

• Use the distributive property

• Add 2 to both sides

• Subtract 4 from both sides

After distributing in Example 1, what is the resulting equation?

• 3x + 4 = -2x + 5

• 3x + 4 = -2x - 5

• 3x + 12 = -2x + 10

• 3x + 12 = -2x - 10

What is the final solution for x in Example 1?

• x = 5/2

• x = -2

• x = 2/5

• x = -2/5

In Example 2, what do you do after distributing the 2 in the equation 3x + 2(x - 3) = 24?

• Add 3 to both sides

• Combine like terms

• Subtract 6 from both sides

• Divide by 2

What is the final solution for x in Example 2?

• x = 6

• x = 7

• x = 5

• x = 8

In Example 3, what is the first step to isolate the x value in the equation 2/7x = 12?

• Subtract 2 from both sides

• Divide by 7/2

• Multiply by 7/2

• Add 2 to both sides

What is the reciprocal of 2/7?

• 2/7

• 7

• 7/2

• 1/7

What is the final solution for x in Example 3?

• x = 24

• x = 36

• x = 48

• x = 42