Wednesday Math Warm-Up Q3 Week 8 (Multi-Step)

A store sells pens for $1.50 each and notebooks for $2.50 each. If a customer buys 4 more pens than notebooks and spends $26, how many pens did they buy?

Which equation best fits the word problem? 

• 1.50x+2.50(x+4)=26

• 1.50x+2.50x=26

• 1.50(x+4)+2.50x=26

• 1.50(x+4)+2.50(x+4)=26

A store sells pens for $1.50 each and notebooks for $2.50 each. If a customer buys 4 more pens than notebooks and spends $26, how many pens did they buy?

What steps are necessary to solve this equation?

1.50(x+4)+2.50x=26

• Distribute, then combine like terms, subtract 6 from both sides, and divide by 4.

• Combine like terms, then subtract 6 from both sides, and divide by 4.

• Add 26 to both sides, distribute, then divide by 4.

• Substitute values, combine like terms, divide by 4, then distribute.

A store sells pens for $1.50 each and notebooks for $2.50 each. If a customer buys 4 more pens than notebooks and spends $26, how many pens did they buy?

Use this equation: 1.50(x+4)+2.50x=26

(a)  

What are the appropriate steps needed to solve this equation?

1. 6(x+3) - 4 = 2(2x + 5)

• Distribute, combine like terms, subtract (4x), add 14, divide by 2

• Combine like terms, distribute, subtract (4x), add 10

• Distribute, combine like terms, subtract (4x), subtract 14, divide by 2

• Distribute, subtract (4x), combine like terms, add 4

Solve.   

1. 6(x+3) - 4 = 2(2x + 5)

(a)