Solving Systems: Graphing or Substitution

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Practice solving systems by graphing or substitution.

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Melissa Thomas

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Froggy Jumps Solving Systems: Graphing or SubstitutionVersión en línea Practice solving systems by graphing or substitution. por 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

Froggy Jumps

Solving Systems: Graphing or SubstitutionVersión en línea

Practice solving systems by graphing or substitution.

por Melissa Thomas

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

Graph both equations and read the intersection

Guess and check values until both equations hold

Replace one variable with an expression from the other equation

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

Multiply both equations by the same number

Plot both lines on a graph

Solve the single-variable equation

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

x = 5/3

x = 5

x = 2

Which scenario is ideal for graphing a system?

When exact solutions are required

When coefficients are decimals

When approximate solutions are acceptable

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

x = 1

x = 2

x = 3

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

Cross-multiply both equations

Plug x back into one original equation

Graph the second equation

Which statement is true about graphing a system:

The solution is where lines coincide completely

The solution is the intersection point of the lines

The solution is where lines are parallel

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

No solution

Infinite solutions

One solution at intersection

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

A way to ignore one equation

Another method to remove a variable

A graphing technique without algebra

Which method is often faster for exact solutions?

Substitution

Guess and check

Graphing

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Solving Systems: Graphing or Substitution

Froggy Jumps

Sobre esta actividad

Creada por

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Froggy Jumps

Solving Systems: Graphing or SubstitutionVersión en línea

por 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?

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