Solving & Representing Situations with Equations: IM 6.6.4
[url=https://im.kendallhunt.com/MS/teachers/1/6/4/preparation.html]“Practice Solving Equations and Representing Situations with Equations”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 6.6.4
- IM 6.6.4 Lesson: Practice Solving Equations and Representing Situations with Equations
- Practice 6.6.4
- IM 6.6.4 Practice: Practice Solving Equations and Representing Situations with Equations
IM 6.6.4 Lesson: Practice Solving Equations and Representing Situations with Equations
Find the value of the expression mentally.
[math]5-2[/math]
[math]5-2.1[/math]
[math]5-2.17[/math]
[math]5-2\frac{7}{8}[/math]
Solve the equations in one column while your partner works on the other. Check in with your partner after you finish each row. Your answers in each row should be the same. If your answers aren’t the same, work together to find the error & correct it.
Circle all of the equations that describe each situation. If you get stuck, consider drawing a diagram. Then find the solution for each situation.
Clare has 8 fewer books than Mai. If Mai has 26 books, how many books does Clare have?
[math]x=\underline{\phantom{BLANK}}[/math][br]
A coach formed teams of 8 from all the players in a soccer league. There are 14 teams. How many players are in the league?
[math]y=\underline{\phantom{BLANK}}[br][/math][br]
Kiran scored 223 more points in a computer game than Tyler. If Kiran scored 409 points, how many points did Tyler score?
[math]z=\underline{\phantom{BLANK}}[/math]
Mai ran 27 miles last week, which was three times as far as Jada ran. How far did Jada run?
[math]w = \underline{\phantom{BLANK}}[/math]
Mai’s mother was 28 when Mai was born. Mai is now 12 years old. In how many years will Mai’s mother be twice Mai’s age?
How old will they be then?
IM 6.6.4 Practice: Practice Solving Equations and Representing Situations with Equations
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?
Select [b]all [/b]the equations that describe the situation.
Find the solution.
Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?
Select [b]all [/b]the equations that describe the situation.
Find the solution.
Solve each equation.
[math]2x=5[/math]
[math]y+1.8=14.7[/math]
[math]6=\frac{1}{2}z[/math]
[math]3\frac{1}{4}=\frac{1}{2}+w[/math]
[math]2.5t=10[/math]
Draw a tape diagram that represents the equation: 3 ∙ x = 18.
Draw a tape diagram that represents the equation: 3 + x = 18.
Draw a tape diagram that represents the equation: 17 - 6 = x.
Find each product.
[math]\left(21.2\right)\cdot\left(0.02\right)[/math]
[math]\left(2.05\right)\cdot\left(0.004\right)[/math]
For a science experiment, students need to find 25% of 60 grams.
[list][*]Jada says, “I can find this by calculating [math]\frac{1}{4}[/math] of 60.”[/*][*]Andre says, “25% of 60 means [math]\frac{25}{100}\cdot60[/math].”[/*][/list]Do you agree with either of them? Explain your reasoning.