Writing Algebraic Expressions with Variables

This video tutorial explains how to convert verbal statements into algebraic expressions. It covers three examples: the sum of negative 7 and 8 times x, negative 3 times x plus 1, and negative 6 minus x. The instructor demonstrates how to interpret and write these expressions step-by-step, emphasizing the use of addition, multiplication, and subtraction in algebra.

What is the algebraic expression for the sum of negative 7 and 8 times x?

• 7 + 8x

• -7 - 8x

• -7 + 8x

• 7 - 8x

How can you represent the sum of negative 7 and 8 times x in another way?

• -8x + 7

• 7 + 8x

• -7 + 8x

• 8x - 7

What is the algebraic expression for the quantity negative 3 times x plus 1?

• 3x + 1

• -3x - 1

• -3x + 1

• 3x - 1

How would you write negative 3 times x plus 1 in algebraic form?

• 1 + 3x

• -3x + 1

• 1 - 3x

• -1 - 3x

What is the algebraic expression for negative 6 plus the product of negative 1 and x?

• -6 + x

• -6 - x

• 6 - x

• 6 + x

How can you simplify negative 6 plus negative x?

• -6 - x

• 6 - x

• -6 + x

• 6 + x