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Practice — Equations, inequalities and graphs • Solving modulus inequalities

Linear modulus inequalities: check 1
Difficulty: ★★☆
4245
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O1

Maths4U Original · Short practice

\(f{\left(x \right)} = \left|{x - 22}\right| + 1\). Here \(\displaystyle a=1, h=22, k=1, d=4\).

Find the x-coordinate of the vertex.

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

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Linear modulus inequalities: review variant 1
Difficulty: ★★☆
4246
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O1-V1

Maths4U Original · Short practice

\(f{\left(x \right)} = 2 \left|{x - 23}\right| + 2\). Here \(\displaystyle a=2, h=23, k=2, d=2\).

Find the x-coordinate of the vertex.

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

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Linear modulus inequalities: check 2
Difficulty: ★★☆
4247
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O2

Maths4U Original · Short practice

\(f{\left(x \right)} = 2 \left|{x - 23}\right| + 2\). Here \(\displaystyle a=2, h=23, k=2, d=2\).

Find the least value of f.

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

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Linear modulus inequalities: review variant 2
Difficulty: ★★☆
4248
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O2-V1

Maths4U Original · Short practice

\(f{\left(x \right)} = 3 \left|{x - 24}\right| + 3\). Here \(\displaystyle a=3, h=24, k=3, d=3\).

Find the least value of f.

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

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Linear modulus inequalities: check 3
Difficulty: ★★☆
4249
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O3

Maths4U Original · Short practice

\(f{\left(x \right)} = 3 \left|{x - 24}\right| + 3\). Here \(\displaystyle a=3, h=24, k=3, d=3\).

Find the larger solution of f(x)=k+ad.

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

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Linear modulus inequalities: review variant 3
Difficulty: ★★☆
4250
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O3-V1

Maths4U Original · Short practice

\(f{\left(x \right)} = 4 \left|{x - 25}\right| + 4\). Here \(\displaystyle a=4, h=25, k=4, d=4\).

Find the larger solution of f(x)=k+ad.

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.
Linear modulus inequalities: check 4
Difficulty: ★★☆
4251
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O4

Maths4U Original · Short practice

\(f{\left(x \right)} = 4 \left|{x - 25}\right| + 4\). Here \(\displaystyle a=4, h=25, k=4, d=4\).

Find the length of the interval where f(x)<k+ad.

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

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Linear modulus inequalities: review variant 4
Difficulty: ★★☆
4252
Info
M4U-EXT-QP-0606-MODULUS-INEQUALITIES-O4-V1

Maths4U Original · Short practice

\(f{\left(x \right)} = \left|{x - 26}\right| + 5\). Here \(\displaystyle a=1, h=26, k=5, d=2\).

Find the length of the interval where f(x)<k+ad.

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

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