Maths4U Original · Short practice

Solve \(4 x - 4 = x + 17\). A changed constant is used only in the part that explicitly states it.

Solve the equation for x.

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

Solve \(6 x - 12 = 2 x + 20\). A changed constant is used only in the part that explicitly states it.

Solve the equation for x.

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

Solve \(6 x - 12 = 2 x + 20\). A changed constant is used only in the part that explicitly states it.

Find the common value of its two sides at the solution.

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

Solve \(4 x - 12 = 3 x - 10\). A changed constant is used only in the part that explicitly states it.

Find the common value of its two sides at the solution.

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

Solve \(4 x - 12 = 3 x - 10\). A changed constant is used only in the part that explicitly states it.

After collecting x terms on the left and constants on the right, find the coefficient of x.

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

Solve \(3 x - 3 = x + 3\). A changed constant is used only in the part that explicitly states it.

After collecting x terms on the left and constants on the right, find the coefficient of x.

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

Solve \(3 x - 3 = x + 3\). A changed constant is used only in the part that explicitly states it.

If only the constant on the right changes to 7, find the new solution.

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

Solve \(5 x - 10 = 2 x + 2\). A changed constant is used only in the part that explicitly states it.

If only the constant on the right changes to 11, find the new solution.

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

\(2 x + 3 y = 25\) and \(x - y = 5\).

Find x in the simultaneous solution.

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

\(2 x + 3 y = 16\) and \(x - y = -2\).

Find x in the simultaneous solution.

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

\(2 x + 3 y = 16\) and \(x - y = -2\).

Find y in the simultaneous solution.

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

\(2 x + 3 y = 21\) and \(x - y = -2\).

Find y in the simultaneous solution.

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

\(2 x + 3 y = 21\) and \(x - y = -2\).

Find x+y for the simultaneous solution.

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

\(2 x + 3 y = 26\) and \(x - y = -2\).

Find x+y for the simultaneous solution.

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

\(2 x + 3 y = 26\) and \(x - y = -2\).

Find xy for the simultaneous solution.

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

\(2 x + 3 y = 31\) and \(x - y = -2\).

Find xy for the simultaneous solution.

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

The relationship is \(y=2x+3\). Capital A and B, where used, denote coefficients in a rearranged rule.

Find x when \(\displaystyle y=11\).

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

The relationship is \(y=3x+4\). Capital A and B, where used, denote coefficients in a rearranged rule.

Find x when \(\displaystyle y=19\).

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

The relationship is \(y=3x+4\). Capital A and B, where used, denote coefficients in a rearranged rule.

Find x when \(\displaystyle y=25\).

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

The relationship is \(y=4x+5\). Capital A and B, where used, denote coefficients in a rearranged rule.

Find x when \(\displaystyle y=41\).

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

The relationship is \(y=4x+5\). Capital A and B, where used, denote coefficients in a rearranged rule.

Write x=Ay+B. Find A.

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

The relationship is \(y=5x+6\). Capital A and B, where used, denote coefficients in a rearranged rule.

Write x=Ay+B. Find A.

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

The relationship is \(y=5x+6\). Capital A and B, where used, denote coefficients in a rearranged rule.

Write x=Ay+B. Find B.

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

The relationship is \(y=2x+7\). Capital A and B, where used, denote coefficients in a rearranged rule.

Write x=Ay+B. Find B.

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

First, \(\displaystyle R=\frac{3t+10}{t+2}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=5, A=1, S=\)\(\displaystyle \frac{39}{2}\) and V>0.

Write \(\displaystyle t= \frac{KR+ L}{R- 3}\). Find K.

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

First, \(\displaystyle R=\frac{4t+17}{t+3}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=6, A=2, S=\)\(16\) and V>0.

Write \(\displaystyle t= \frac{KR+ L}{R- 4}\). Find K.

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

First, \(\displaystyle R=\frac{4t+17}{t+3}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=6, A=2, S=\)\(16\) and V>0.

In the same explicitly stated form \(\displaystyle t= \frac{KR+ L}{R- 4}\), find L.

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

First, \(\displaystyle R=\frac{5t+26}{t+4}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=7, A=3, S=\)\(\displaystyle \frac{95}{6}\) and V>0.

In the same explicitly stated form \(\displaystyle t= \frac{KR+ L}{R- 5}\), find L.

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

First, \(\displaystyle R=\frac{5t+26}{t+4}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=7, A=3, S=\)\(\displaystyle \frac{95}{6}\) and V>0.

Find t when \(\displaystyle R=6\).

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

First, \(\displaystyle R=\frac{2t+4}{t+1}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=3, A=1, S=\)\(8\) and V>0.

Find t when \(\displaystyle R=3\).

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

First, \(\displaystyle R=\frac{2t+4}{t+1}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=3, A=1, S=\)\(8\) and V>0.

Find the positive value of V in the separate squared relation.

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

First, \(\displaystyle R=\frac{3t+9}{t+2}\). Separately, \(V^2=U^2+2AS\), with \(\displaystyle U=4, A=2, S=\)\(\displaystyle \frac{33}{4}\) and V>0.

Find the positive value of V in the separate squared relation.

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

The two graphs are \(y=x^{2} - 6 x + 15\) and \(y=x + 5\).

Find the smaller intersection x-coordinate.

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

The two graphs are \(y=x^{2} - 8 x + 27\) and \(y=2 x + 6\).

Find the smaller intersection x-coordinate.

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

The two graphs are \(y=x^{2} - 8 x + 27\) and \(y=2 x + 6\).

Find the larger intersection x-coordinate.

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

The two graphs are \(y=x^{2} - 10 x + 43\) and \(y=3 x + 7\).

Find the larger intersection x-coordinate.

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

The two graphs are \(y=x^{2} - 10 x + 43\) and \(y=3 x + 7\).

Find the y-coordinate paired with the smaller x.

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

The two graphs are \(y=x^{2} - 15 x + 63\) and \(y=x + 8\).

Find the y-coordinate paired with the smaller x.

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

The two graphs are \(y=x^{2} - 15 x + 63\) and \(y=x + 8\).

Find the y-coordinate paired with the larger x.

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

The two graphs are \(y=x^{2} - 12 x + 50\) and \(y=2 x + 2\).

Find the y-coordinate paired with the larger x.

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

A rectangle has width x cm and a length that is 5 cm more than 3 times its width. Assume x>0.

Expand the area as Ax²+Bx. Find A.

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

A rectangle has width x cm and a length that is 6 cm more than 4 times its width. Assume x>0.

Expand the area as Ax²+Bx. Find A.

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

A rectangle has width x cm and a length that is 6 cm more than 4 times its width. Assume x>0.

Expand the area as Ax²+Bx. Find B.

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

A rectangle has width x cm and a length that is 7 cm more than 5 times its width. Assume x>0.

Expand the area as Ax²+Bx. Find B.

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

A rectangle has width x cm and a length that is 7 cm more than 5 times its width. Assume x>0.

Write the perimeter as Cx+D. Find C.

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

A rectangle has width x cm and a length that is 8 cm more than 6 times its width. Assume x>0.

Write the perimeter as Cx+D. Find C.

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

A rectangle has width x cm and a length that is 8 cm more than 6 times its width. Assume x>0.

Write the perimeter as Cx+D. Find D.

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

A rectangle has width x cm and a length that is 9 cm more than 2 times its width. Assume x>0.

Write the perimeter as Cx+D. Find D.

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.