Practice Substitution Method (2.1) - Simultaneous Equations - IB 10 Mathematics

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9 questions

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6 sample questions

Question 1.
Solve using substitution: x + y = 5, y = 2.
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Substitute y's value into the first equation.
Question 2.
Given y = 2x + 3, find y when x = 1.
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Plug x into the y equation.
3Question 3.
What is the first step in the substitution method?
- Rearranging one equation
- Adding two equations
- Graphing the equations
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Think about what we need before we can substitute.
4Question 4.
Can the substitution method be used for nonlinear equations?
- True
- False
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Remember, substitution just involves solving for variables.
Question 5.
Solve the system using substitution: 2x + 3y = 6 and y = 4 - x.
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First, express y from the second equation and substitute into the first.
Question 6.
Show how many solutions exist: x + 2y = 4 and 2x + 4y = 8.
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First, simplify the second equation to see if it matches the first.

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