Unit 6, Lesson 10
Different Options for Solving One Equation
Grade 7
Practice
Problem 1
Andre wants to buy a backpack. The normal price of the backpack is \$40. He notices that a store that sells the backpack is having a 30% off sale. What is the sale price of the backpack?
On the first math exam, 16 students received an A grade. On the second math exam, 12 students received an A grade. What percentage decrease is that?
Problem 3
Solve each equation.
\(2(a-3) = 14\)
\(\text-5(b-1) = 40\)
\(12(c+10)=24\)
\(\frac16(d+6)=11\)
\(\frac57(e-9)=25\)
Problem 4
Select all expressions that represent a correct solution to the equation \(6(x+4)=20\).
\((20-4)\div 6\)
\(\frac16(20-4)\)
\(20-6-4\)
\(20\div6-4\)
\(\frac16(20-24)\)
\((20-24)\div 6\)
Problem 5
Lin and Noah are solving the equation \(7(x+2)=91\).
Lin starts by using the distributive property. Noah starts by dividing each side by 7.
- Show what Lin's and Noah's full solution methods might look like.
- What is the same and what is different about their methods?