Solving Systems: Graphing or Substitution

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Practice solving systems by graphing or substitution.

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Melissa Thomas

United States

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2	stewart October 28, 2025	% 50	01:32

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Solving Systems: Graphing or Substitution


Froggy Jumps Solving Systems: Graphing or SubstitutionOnline version Practice solving systems by graphing or substitution. by Melissa Thomas 1 What is the main idea of solving a system by substitution? a Graph both equations and read the intersection b Guess and check values until both equations hold c Replace one variable with an expression from the other equation 2 When solving a system by substitution, what should you do after substituting? a Multiply both equations by the same number b Plot both lines on a graph c Solve the single-variable equation 3 If x + y = 5 and y = 2x, what is x in substitution method? a x = 5/3 b x = 5 c x = 2 4 Which scenario is ideal for graphing a system? a When exact solutions are required b When coefficients are decimals c When approximate solutions are acceptable 5 In a 2x + y = 7 and x - y = 1 system, substitute y from the second into the first. What is x? a x = 1 b x = 2 c x = 3 6 How do you find the second variable after solving for x in substitution? a Cross-multiply both equations b Plug x back into one original equation c Graph the second equation 7 Which statement is true about graphing a system: a The solution is where lines coincide completely b The solution is the intersection point of the lines c The solution is where lines are parallel 8 If two lines are parallel, what is the system's solution when substituting? a No solution b Infinite solutions c One solution at intersection 9 What does the term 'elimination' refer to in systems solving? a A way to ignore one equation b Another method to remove a variable c A graphing technique without algebra 10 Which method is often faster for exact solutions? a Substitution b Guess and check c Graphing

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Solving Systems: Graphing or Substitution

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Solving Systems: Graphing or SubstitutionOnline version

by Melissa Thomas

What is the main idea of solving a system by substitution?

When solving a system by substitution, what should you do after substituting?

If x + y = 5 and y = 2x, what is x in substitution method?

Which scenario is ideal for graphing a system?

In a 2x + y = 7 and x - y = 1 system, substitute y from the second into the first. What is x?

How do you find the second variable after solving for x in substitution?

Which statement is true about graphing a system:

If two lines are parallel, what is the system's solution when substituting?

What does the term 'elimination' refer to in systems solving?

Which method is often faster for exact solutions?