Lesson 05: A New Way to Interpret a over b | Unit 6: Expressions and Equations

Multiple Select

Mai's water bottle has 24 ounces in it. After she drinks x ounces of water, there are 10 ounces left. Select **all** the expressions that represent this situation.

• 24÷10=x

• 24+10=x

• 24-10=x

• x+10=24

• 10x=24

Multiple Choice

Select all the equations that describe the situation: Kiran’s backpack weighs $$3\frac12$$ pounds less than Clare’s backpack. Clare’s backpack weighs $$14\frac34$$ .

• $$x+3\frac{1}{2}=14\frac{3}{4}$$

• $$\frac{7}{2}x=14\frac{3}{4}$$

• $$x=14\frac{3}{4}−3\frac{1}{2}$$

• $$x=14\frac{3}{4}\div3\frac{1}{2}$$

Multiple Choice

What is the weight of Kiran's backpack if it weighs 3 1/2 pounds less than Clare’s backpack, which weighs 14 3/4 pounds?

• 12 pounds
• 15 1/2 pounds
• 11 1/4 pounds
• 10 pounds

Multiple Choice

Select all the equations that describe the situation: Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?

• $$y=60\div5$$

• $$y=5\cdot60$$

• $$\frac{y}{5}=60$$

• $$5y=60$$

Multiple Choice

Calculate the total number of sheets of paper in Andre's 5 notebooks, each containing 60 sheets.

• 3000
• 180
• 300
• 250

Multiple Select

Priya has 5 pencils, each $$x$$ inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select **all** the equations that represent this situation.

• $$5+x=34.5$$

• $$5x=34.5$$

• $$34.5\div5=x$$

• $$34.5-5=x$$

• $$x=(34.5)\cdot5$$

Multiple Select

Han's house is 450 meters from school. Lin lives 135 meters closer to school than Han does. What is the distance of Lin’s house from school, $$z$$ ?

• $$z = 450 + 135$$

• $$z = 450-135$$

• $$z-135 = 450$$

• $$z + 135 = 450$$

Multiple Choice

Tyler's playlist has 36 songs. Noah’s playlist has one quarter as many songs as Tyler's playlist. How many songs are on Noah’s playlist, $$w$$ ?

• $$w = 4 \cdot 36$$

• $$w = 36 \div 4$$

• $$4w = 36$$

• $$\frac{w}{4} = 36$$

Open Ended

For the situation where Jada’s dog was $$5\frac{1}{2}$$ inches tall when it was a puppy and is now $$14\frac{1}{2}$$ inches tall, solve the equation to find out how much Jada’s dog grew. Explain what the variable and solution mean in this situation.

Multiple Choice

For the situation where Jada’s dog was $$5\frac{1}{2}$$ inches tall when it was a puppy and is now $$14\frac{1}{2}$$ inches tall, choose an equation that represents how much Jada’s dog grew.

• $$x+5\frac12= 14\frac12$$

• $$x=5\frac12+14\frac12$$

• $$5\frac12 \cdot x=14\frac12$$