Lesson 5-3 Solve Equations Using the Distributive Property

Lesson 5-3 Solve Equations Using the Distributive Property

​

​

7.EE.B.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers,

fractions, and decimals), using tools strategically.​

​7.EE.B.4.ASolve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

Open Ended

​Do Now

Six friends go white-water rafting. The total cost for the adventure is $683.88, including a $12 fee per person to rent flotation vests. Marcella says they can use the equation 6r + 12 = 683.88 to find the rafting cost, r, per person. Julia says they need to use the equation 6(r + 12) = 683.88.

​

A. Whose equation accurately represents the situation?

​

B. What error might explain the inaccurate equation?​

​

​

Home

Open in new tab

Copy link

Fill in the Blank

A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine?

The original cost of one figure was ___________?

Fill in the Blank

Solve the equation -2(4x - 2) = 20

x = ____

Multiple Choice

Use the Distributive Property to solve.

$$-\frac{1}{2}\left(b\ -\ 6\right)\ =\ 5$$  

• b = 5.5

• b = -5.5

• b = 4

• b = -4

Fill in the Blank

Use the Distributive Property to solve.

$$0.4\left(x\ -\ 0.45\right)\ =\ 9.2$$  

Multiple Choice

Use the Distributive Property to solve.

$$-4\left(p\ -\ 212\right)=44$$  

• p = -201

• p = 201

• p = -64

• p = 64

Open Ended

Exit Ticket

How do you feel about the Distributive Property and using it to solve multi-step equations?

​Homework:

​

In your Envision Math workbook, complete page 268 #4,5 and 6.​