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Practice — Equations, inequalities and graphs • Solving equations of the type |ax + b| = |cx + d|

Equations involving two linear moduli: check 1
Difficulty: ★★☆
4237
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O1

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(3 x + 20\) and \(\displaystyle V=\)\(5 x + 41\). Consider \(\left|{3 x + 20}\right| = \left|{5 x + 41}\right|\).

Find the smaller solution.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Equations involving two linear moduli: review variant 1
Difficulty: ★★☆
4238
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O1-V1

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(4 x + 21\) and \(\displaystyle V=\)\(6 x + 43\). Consider \(\left|{4 x + 21}\right| = \left|{6 x + 43}\right|\).

Find the smaller solution.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
Equations involving two linear moduli: check 2
Difficulty: ★★☆
4239
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O2

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(4 x + 21\) and \(\displaystyle V=\)\(6 x + 43\). Consider \(\left|{4 x + 21}\right| = \left|{6 x + 43}\right|\).

Find the larger solution.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
Equations involving two linear moduli: review variant 2
Difficulty: ★★☆
4240
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O2-V1

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(2 x + 22\) and \(\displaystyle V=\)\(4 x + 45\). Consider \(\left|{2 x + 22}\right| = \left|{4 x + 45}\right|\).

Find the larger solution.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
Equations involving two linear moduli: check 3
Difficulty: ★★☆
4241
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O3

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(2 x + 22\) and \(\displaystyle V=\)\(4 x + 45\). Consider \(\left|{2 x + 22}\right| = \left|{4 x + 45}\right|\).

Find the distance between the two solutions.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
Equations involving two linear moduli: review variant 3
Difficulty: ★★☆
4242
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O3-V1

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(3 x + 23\) and \(\displaystyle V=\)\(5 x + 47\). Consider \(\left|{3 x + 23}\right| = \left|{5 x + 47}\right|\).

Find the distance between the two solutions.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
Equations involving two linear moduli: check 4
Difficulty: ★★☆
4243
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O4

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(3 x + 23\) and \(\displaystyle V=\)\(5 x + 47\). Consider \(\left|{3 x + 23}\right| = \left|{5 x + 47}\right|\).

Find the midpoint of the two solutions.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
Equations involving two linear moduli: review variant 4
Difficulty: ★★☆
4244
Info
M4U-EXT-QP-0606-MODULUS-EQUATIONS-O4-V1

Maths4U Original · Short practice

Write \(\displaystyle U=\)\(4 x + 24\) and \(\displaystyle V=\)\(6 x + 49\). Consider \(\left|{4 x + 24}\right| = \left|{6 x + 49}\right|\).

Find the midpoint of the two solutions.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
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