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.

[math]x+3=14[/math] [math]3x=14[/math] [math]x=14\div3[/math] [math]x=14-3[/math]

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.

[math]5y=60[/math] [math]y=5\cdot60[/math] [math]\frac{y}{5}=60[/math] [math]y=60\div5[/math]

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.

Information: IM 6.6.4 Practice: Practice Solving Equations and Representing Situations with Equations