Grade 8 Math First Quarter Exam

What is a polynomial?

• An equation with one term

• An equation with two terms

• An equation with multiple terms

• An equation with no terms

Which of the following is a polynomial?

• √x

• 2/x

• 3x^2 + 5x - 1

• |x|

What does the degree of a polynomial represent?

• The highest power of the variable in the polynomial

• The lowest power of the variable in the polynomial

• The number of terms in the polynomial

• The sum of the coefficients in the polynomial

Which of the following is a polynomial of degree 3?

• 2x + 1

• x^2

• 3x^3 - 2x^2 + x

• 4/x

What is the product of (a + b)(a - b)?

• a^2 - b^2

• a^2 + b^2

• a^2 + 2ab + b^2

• a^2 - 2ab + b^2

What is the square of the binomial (x + y)^2?

• x^2 + y^2

• x^2 - y^2

• x^2 + 2xy + y^2

• x^2 - 2xy + y^2

What is the cube of the binomial (a + b)^3?

• a^3 + b^3

• a^3 - b^3

• a^3 + 3a^2b + 3ab^2 + b^3

• a^3 - 3a^2b + 3ab^2 - b^3

What is the greatest common factor (GCF) of 12x and 18x^2?

• x

• 6x

• 6x^2

• 12x

How do you factor by grouping?

• Grouping the terms with common factors together

• Multiplying the terms in pairs

• Dividing the terms by a common factor

• Adding all the terms together

What is the factorization of x^2 + 5x + 6?

• (x + 2)(x + 3)

• (x + 4)(x + 5)

• (x + 1)(x + 6)

• (x + 3)(x + 3)