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Practice — Simultaneous equations and quadratics • Simultaneous equations (one linear and one non-linear)

Linear and quadratic simultaneous equations: check 1
Difficulty: ★★☆
4157
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O1

Maths4U Original · Short practice

A curve is \(y = x^{2} - 34 x + 341\) and a line is \(y = 2 x + 18\).

Find the smaller intersection x-coordinate.

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

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Linear and quadratic simultaneous equations: review variant 1
Difficulty: ★★☆
4158
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O1-V1

Maths4U Original · Short practice

A curve is \(y = x^{2} - 36 x + 397\) and a line is \(y = 3 x + 19\).

Find the smaller intersection x-coordinate.

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 and quadratic simultaneous equations: check 2
Difficulty: ★★☆
4159
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O2

Maths4U Original · Short practice

A curve is \(y = x^{2} - 36 x + 397\) and a line is \(y = 3 x + 19\).

Find the larger intersection x-coordinate.

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 and quadratic simultaneous equations: review variant 2
Difficulty: ★★☆
4160
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O2-V1

Maths4U Original · Short practice

A curve is \(y = x^{2} - 41 x + 457\) and a line is \(y = x + 20\).

Find the larger intersection x-coordinate.

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 and quadratic simultaneous equations: check 3
Difficulty: ★★☆
4161
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O3

Maths4U Original · Short practice

A curve is \(y = x^{2} - 41 x + 457\) and a line is \(y = x + 20\).

Find the y-coordinate of the left intersection.

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 and quadratic simultaneous equations: review variant 3
Difficulty: ★★☆
4162
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O3-V1

Maths4U Original · Short practice

A curve is \(y = x^{2} - 43 x + 521\) and a line is \(y = 2 x + 21\).

Find the y-coordinate of the left intersection.

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 and quadratic simultaneous equations: check 4
Difficulty: ★★☆
4163
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O4

Maths4U Original · Short practice

A curve is \(y = x^{2} - 43 x + 521\) and a line is \(y = 2 x + 21\).

Find the area between the two graphs.

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 and quadratic simultaneous equations: review variant 4
Difficulty: ★★☆
4164
Info
M4U-EXT-QP-0606-SIMULTANEOUS-O4-V1

Maths4U Original · Short practice

A curve is \(y = x^{2} - 41 x + 505\) and a line is \(y = 3 x + 22\).

Find the area between the two graphs.

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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