6.5 - More 2 Step Equations

6.5: More Two-Step Equations

Solving w/Expansion

Step 1: ________________

Step 2: ________________

Step 3: _________________

2(x - 6) = 14

-3(2x + 8) = 0

Fill in the Blanks

Your Turn: Solve problem #3. When you type in your answer, only put the number. You can put this answer as an improper fraction or a decimal.

$-2\left(x\ -\ 9\right)\ =\ 11$

Fill in the Blanks

Your Turn: Solve problem #4. When you type in your answer, only put the number. You can put this answer as a fraction.

$-7\left(-2x\ +\ 1\right)=5$

Solving by Dividing w/the Factor

Fill in the Blanks

Solve question #7 by dividing by the factor first.

$12\ =\ -2\left(3\ +x\right)$

Fill in the Blanks

Solve question #8 by dividing by the factor first.

$4\left(x\ -\ 8\right)\ =\ -40$

Writing Expressions

Jamal and two cousins received the same amount of money to go to a movie. Each boy spend $15. Afterward, the boys had $30 altogether. Write and solve an equation to find the amount of money each boy received.

Writing Expressions

Mr. Singh had three sheets of stickers. He gave 20 stickers from each sheet to his students and has 12 total stickers left. Write and solve an equation to find how many stickers were originally on each sheet.

Multiple Choice

The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.

• $$3x\ +\ 5\ =\ 60$$

• $$3\left(x+\ 5\right)\ =\ 60$$

• $$3\left(x-5\right)\ =\ 60$$

• $$4\left(x\ +\ 5\right)\ =\ 60$$

Fill in the Blanks

Anne bought a necklace for each of her three sisters. She paid $7 for each necklace. Suppose she had $9 left. Write an equation you could use to find how much money, m, Anne had initially to spend on each sister.

Fill in the Blanks

Mrs. Sorenstam bought one ruler, one compass, and one mechanical pencil at the prices shown in the table for each of her 12 students. Suppose Mrs. Sorenstam had 36 cents left after buying the school supplies. Write an equation to find the amount of money, m, Mrs. Sorenstam initially had to spend on each student.

Any Questions???

​If not, turn to p. 487. The next few practice problems will be from that page. You can use the page to show your work!

Fill in the Blanks

Solve #19 (just type in the solution):

$\left(d\ -\ 3\right)\frac{2}{5}=\ 30$

Fill in the Blanks

Solve #16 (just type in the solution):

$-28\ =\ 7\left(n\ +\ 3\right)$

Fill in the Blanks

Solve #18 (just type in the value):

$\frac{5}{9}\left(8\ +\ c\right)\ =\ -20$

Fill in the Blanks

Solve #17 (just type in the value):

$\left(t\ +\ 9\right)20\ =\ 140$

Fill in the Blanks

Solve #15 (just type in the value):

$12\left(x-20\right)=-48$

Peer Coaching Activity

-Pair Up (one person needs to have Coach A form and the other person needs to have the Coach B form)

- This activity is a solve and check (making sure we understand each step)

-Solve all of these by expanding the Distributive Property

-Process: Solve #1 - check with partner - your partner has your problem's correct WORK and ANSWER - teach them if their answer is wrong!