Rearranging formulas with repeated subjects and powers · Short practice
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Rearranging formulas with repeated subjects and powers — objective 1
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.
Fresh review variant
Rearranging formulas with repeated subjects and powers — objective 1
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.
Method
Rearranging formulas with repeated subjects and powers — objective 2
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.
Fresh review variant
Rearranging formulas with repeated subjects and powers — objective 2
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.
Apply
Rearranging formulas with repeated subjects and powers — objective 3
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.
Fresh review variant
Rearranging formulas with repeated subjects and powers — objective 3
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.
Check understanding
Rearranging formulas with repeated subjects and powers — objective 4
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.
Fresh review variant
Rearranging formulas with repeated subjects and powers — objective 4
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.