Lesson 4
Practice Solving Equations and Representing Situations with Equations
Problem 1
Select all the equations that describe each situation and then find the solution.

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?

\(x+3=14\)

\(3x=14\)

\(x = 14 3\)

\(x = 14 \div 3\)


Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?

\(y = 60 \div 5\)

\( y = 5 \boldcdot 60\)

\(\frac{y}{5} = 60\)

\(5y = 60\)

Solution
For access, consult one of our IM Certified Partners.
Problem 2
Solve each equation.
 \(2x = 5\)
 \(y + 1.8 = 14.7\)
 \(6 = \frac{1}{2} z\)
 \(3\frac{1}{4} = \frac{1}{2} + w\)
 \(2.5t = 10\)
Solution
For access, consult one of our IM Certified Partners.
Problem 3
For each equation, draw a tape diagram that represents the equation.
 \(3\boldcdot x = 18\)
 \(3+x=18\)
 \(17  6 = x\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 6, Lesson 1.)Problem 4
Find each product.
\((21.2)\boldcdot (0.02)\)
\((2.05)\boldcdot (0.004)\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 5, Lesson 8.)Problem 5
For a science experiment, students need to find 25% of 60 grams.
 Jada says, “I can find this by calculating \(\frac{1}{4}\) of 60.”
 Andre says, “25% of 60 means \(\frac{25}{100} \boldcdot 60\).”
Do you agree with either of them? Explain your reasoning.
Solution
For access, consult one of our IM Certified Partners.
(From Unit 3, Lesson 13.)