OAR OAR Math Skills: Algebraic Expressions 5

Question 1

What is the coefficient of x² in the expression 7 - 3x² + 4x?

Accepted Answer

-3

Answer

The coefficient of x² is the number multiplied by x², which is -3.

Question 2

Simplify: (2x²y)(3xy³)

Accepted Answer

6x³y⁴

Answer

Multiply coefficients (2×3=6) and add exponents: x^(2+1)=x³, y^(1+3)=y⁴.

Question 3

Which expression equals zero when x = 3?

Accepted Answer

x² - 2x - 3

Answer

(3)² - 2(3) - 3 = 9 - 6 - 3 = 0.

Question 4

Translate to an algebraic expression: 'the product of 4 and a number x, decreased by 9'

Accepted Answer

4x - 9

Answer

'Product of 4 and x' is 4x; 'decreased by 9' means subtract 9, giving 4x - 9.

Question 5

Simplify: x⁰ + 3x¹ - 2

Accepted Answer

3x - 1

Answer

x⁰ = 1, so 1 + 3x - 2 = 3x - 1.

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