Lesson 5.1 Write Two-Step Equations

Lesson 5.1

Write Two-Step Equations

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Definitions:

Equation: A math statement where two values of a math expression are equal. These two expressions must always have an equal sign ( = ) between them.

Looks like 3x + 5 = 14

Subject | Subject

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Key Concept:

An equation shows a relationship between the variables, the coefficient
and the constant. This relationship allows you to write equations with two
or more steps or to write equations that use more than one operation.

Example:

Jordan wrote the following description: Three fewer than one fourth of x is
12. Write an expression to represent the description.

Multiple Choice

Write an expression for the following: 4 less than 3 times a number is 5.

• 4x - 5 = 3

• 3x - 5 = 4

• 3x - 4 = 5

• 5x - 3 = 4

Multiple Choice

Write an expression for: 5 more than 6 times a number is 35.

• 5x + 6 = 35

• 6x + 5 = 35

• 5x + 6x = 35

• 11x = 35

Example:

Marley collects golf balls. His neighbor Tucker collets 3 more than twice
as many golf balls as Marley. Create a table to represent the number of
golf balls Marley and Tucker have depending on how many Marley
collects.

Marley

Tucker

Cont:

1.

How could you write an algebraic expression to represent the number of golf
balls Tucker has?

1.

If Tucker has 159 golf balls, what equation can we write to compare Marley’s
collection to Tucker’s?

Example:

Claire bought 8 tickets for a total cost of $104. She had used a coupon
code to get $3 off each ticket. Let x be the original cost of each ticket.
Write an equation to represent the situation.

Multiple Choice

Jenny bought 5 tickets for $100. She used a coupon code that got her $2 off each ticket. Write an equation using "t" for tickets to find out how much each ticket is worth?

• 5t - 2 = 100

• 5(t - 2) = 100

• 100 - 2 = 5t

• t = 100

Example:

Mia buys 4 ⅕ pounds of plums. The total cost after using a coupon for 55
cent off her entire purchase was $3.23. If c represents the cost of the
plums in dollar per pound, what equation could represent the situation?

​Conclusion: Write two complete sentences about what you learned.