Solving Equations by Undoing, Looking Inside, and Rewriting

Solving Equations by Undoing, Looking Inside, and Rewriting

​Show your understanding of this weeks work using this quiz.

Open Ended

Avery wants to solve the following problem. What can she do first?

$$8\left(2x-1\right)=16$$  

Multiple Select

Which of the following are valid first steps to solve the equation:

$$4\left(3-x\right)=12$$  

Choose all that apply

• Rewrite as  $$12-x=12$$  

• Distribute the 4 to the terms in the parentheses. Rewrite the equation as $$12-4x=12$$  

• Divide both sides by 4

• Set  $$3-x=3$$ since  $$4\cdot3=12$$  

Fill in the Blank

Complete the square to write the equation in vertex form

$$x^2+6x-5=y$$   Write  $$x^2$$ as x^2 and don't type spaces

Multiple Choice

$$\frac{x}{100}+\frac{7}{100}=\frac{19}{100}$$  

In the equation above, which equation would you be left with after each term is multiplied by 100?

• $$x+7=19$$  

• $$100x+700=1900$$  

Fill in the Blank

We can clear fractions and decimals from equations, like the equation below, by multiplication.

$$\frac{x}{3}+\frac{5}{2}=7$$  

What is the least common denominator of 2 and 3?

Multiple Choice

$$\frac{x}{3}+\frac{5}{2}=7$$  

In the equation above, what would you get when you multiply  $$\frac{x}{3}\cdot6$$ ?

• $$2x$$  

• $$\frac{x}{2}$$  

Multiple Choice

$$\frac{x}{3}+\frac{5}{2}=7$$  

In the equation above, what would you get when you multiply  $$\frac{5}{2}\cdot6$$ ?

• $$15$$  

• $$\frac{30}{12}$$  

Multiple Choice

$$\frac{x}{3}+\frac{5}{2}=7$$  

In the equation above, what would you get when you multiply the whole equation by  $$6$$ ?

• $$2x+5=21$$  

• $$3x+15=14$$  

• $$2x+15=42$$  

• $$x+5=7$$  

Fill in the Blank

$$2x+15=42$$  

Solve for x:

Fill in the Blank

$$2.3x+7.4=9.1$$  

Write the equation after multiplying each term by 10: (do not include any spaces in your answer)

Open Ended

Tell me something you learned about solving equations this week.