IXL | Write and solve two-step equations that represent diagrams

Write an equation that says that the length of the green line is equal to the length of the black line. Combine like terms.

Then solve for c.

Equation:

c =

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question

Write an equation that says that the length of the green line is equal to the length of the black line minus the length of the blue line. Combine like terms.

Then solve for v.

Equation:

v =

solution

We want to replace both sides of the equation below with numbers and variable expressions:

length of green line

length of black line − length of blue line

The length of the green line is 7.

The black line is the sum of its segments, so:

length of black line	=	v + v
	=	2v

The length of the blue line is 9.

Putting these together gives:

2v − 9

Now use the equation to solve for v.

2v − 9	=	7

2v	=	16	Add 9 to both sides

v	=	8	Divide both sides by 2

The equation that represents the length of the green line is 7 = 2v − 9. The solution to this equation is v = 8.

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AA.7Write and solve equations that represent diagrams

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