Maths4U Original · Short practice

Consider \(E=5 x + 4 y + 52\).

Find the coefficient of x after collecting like terms.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=7 x + 7 y + 53\).

Find the coefficient of x after collecting like terms.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=7 x + 7 y + 53\).

Find the coefficient of y after collecting like terms.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=9 x + 4 y + 56\).

Find the coefficient of y after collecting like terms.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=5 x + 7 y + 54\).

Find the constant term.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=7 x + 7 y + 55\).

Find the constant term.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=7 x + 7 y + 55\).

Evaluate E at \(\displaystyle x=3, y=3\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=9 x + 4 y + 56\).

Evaluate E at \(\displaystyle x=4, y=1\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 3\right) \left(4 x + 4\right)\).

Find the \(\displaystyle x^{2}\) coefficient in the expansion.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 4\right) \left(x + 5\right)\).

Find the \(\displaystyle x^{2}\) coefficient in the expansion.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 4\right) \left(x + 5\right)\).

Find the x coefficient in the expansion.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 5\right) \left(2 x + 6\right)\).

Find the x coefficient in the expansion.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 5\right) \left(2 x + 6\right)\).

Find the constant term in the expansion.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 6\right) \left(3 x + 7\right)\).

Find the constant term in the expansion.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 6\right) \left(3 x + 7\right)\).

Find P(1).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(P(x)=\left(x - 2\right) \left(4 x + 8\right)\).

Find P(2).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=8 x^{3} y + 12 x^{2} y^{2}\).

Find the greatest common numerical factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=15 x^{4} y + 20 x^{3} y^{2}\).

Find the greatest common numerical factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=15 x^{4} y + 20 x^{3} y^{2}\).

Find the exponent of x in the greatest common monomial factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=6 x^{2} y + 12 x y^{2}\).

Find the exponent of x in the greatest common monomial factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=6 x^{2} y + 12 x y^{2}\).

After taking out \(6x^{1}y\), find the coefficient of y inside the bracket.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=4 x^{3} y + 6 x^{2} y^{2}\).

After taking out \(2x^{2}y\), find the coefficient of y inside the bracket.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=4 x^{3} y + 6 x^{2} y^{2}\).

Evaluate E at \(\displaystyle x=2, y=3\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(E=9 x^{4} y + 12 x^{3} y^{2}\).

Evaluate E at \(\displaystyle x=2, y=3\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.