Algebraic Expressions and Formulas

The video tutorial covers the translation of verbal expressions into algebraic expressions, focusing on operations like multiplication, addition, subtraction, and division. It explains the use of parentheses for complex expressions and the role of powers and exponents. The tutorial emphasizes understanding the language of algebra to accurately translate and solve expressions.

What is the algebraic expression for 'eight times the number X subtracted by four'?

• 8 - 4X

• 8X + 4

• 8X - 4

• 8 + 4X

How would you write 'six times x squared increased by seven' in algebraic form?

• 6x^2 + 7

• 6x^2 - 7

• 6 + x^2 + 7

• 6x + 7^2

What is the algebraic expression for 'five increased by the product of negative three and a number X'?

• 5 - 3X

• 5 - (-3X)

• 5 + 3X

• 5 + (-3X)

How would you write 'three times the sum of a number X and seven' in algebraic form?

• 3(X - 7)

• 3 + X + 7

• 3X + 7

• 3(X + 7)

What is the algebraic expression for 'x divided by 2 increased by the product of 4 and x'?

• x/2 + 4x

• x/2 - 4x

• x/4 + 2x

• 2/x + 4x

How would you write 'the quotient of x and 2 added by the product of 4 and x' in algebraic form?

• 4/x + 2x

• x/4 + 2x

• 2/x + 4x

• x/2 + 4x

How would you write 'a number y cubed plus x squared decreased by seven' in algebraic form?

• y^3 + x^2 + 7

• y^3 - x^2 - 7

• y^2 + x^3 - 7

• y^3 + x^2 - 7

What is the algebraic expression for 'five times the difference of X and four added by two'?

• 5(X - 4) + 2

• 5(X + 4) - 2

• 5(X + 4) + 2

• 5(X - 4) - 2

How would you write 'the difference of X and Y divided by 3 and added by eight' in algebraic form?

• (X - Y)/3 - 8

• (X - Y)3 + 8

• (X - Y)/3 + 8

• (X + Y)/3 + 8

What is the algebraic expression for 'negative 2 times the square of the sum of a number X and 4 subtracted by one'?

• -2(X + 4)^2 + 1

• -2(X + 4)^2 - 1

• -2(X - 4)^2 + 1

• -2(X - 4)^2 - 1