Monomial expression multiplication (SAT) Practice Questions (Grade 9)

Question 1easy

Which expression is equivalent to $(a^3 b^{-4})(a^{-1} b^2)$ ?

Add exponents on matching variables: $a^{3+(-1)} b^{-4+2} = a^2 b^{-2}$ .

Question 2easy

Which expression is equivalent to $(p^5 q^2 r^{-3})(p q^4 r^2)$ ?

Add exponents on matching variables: $p^{5+1} q^{2+4} r^{-3+2} = p^6 q^6 r^{-1}$ .

Question 3medium

Which expression is equivalent to $(m^2 n^{-3} p^4)(m^{-1} n^2 p^{-1})$ ?

Add exponents on each variable: $m^{2+(-1)} n^{-3+2} p^{4+(-1)} = m n^{-1} p^3$ .

Question 4medium

Which expression is equivalent to $(x^{-5} y^2 z^3)(x^3 y^{-1} z^{-4})$ ?

Add exponents on matching variables: $x^{-5+3} y^{2+(-1)} z^{3+(-4)} = x^{-2} y z^{-1}$ .

Question 5medium

Which expression is equivalent to $(-x^4 y^{-2})(x^{-3} y^5)$ ?

The leading negative gives coefficient $-1$ . Add exponents: $x^{4+(-3)} y^{-2+5} = -x y^3$ .

Question 6medium

Which expression is equivalent to $(2a^3 b^2 c^{-1})(-a^{-2} b^{-4} c^5)$ ?

Multiply coefficients: $(2)(-1) = -2$ . Add exponents: $a^{3+(-2)} b^{2+(-4)} c^{-1+5} = -2a b^{-2} c^4$ .

Question 7medium

Which expression is equivalent to $(3x^{-2} y z^4)(x^3 y^{-2} z^{-3})$ ?

Multiply coefficients: $3 \cdot 1 = 3$ . Add exponents: $x^{-2+3} y^{1+(-2)} z^{4+(-3)} = 3x y^{-1} z$ .

Question 8medium

Which expression is equivalent to $(-3m^{-4} n^2)(2m^3 n^{-5})$ ?

Multiply coefficients: $(-3)(2) = -6$ . Add exponents: $m^{-4+3} n^{2+(-5)} = -6m^{-1} n^{-3}$ .

Monomial expression multiplication (SAT) practice