Literal Equations, Equivalent Equations

Multiple Choice

What should we do first to solve for x?
y=mx+b

• Add
• Subtract
• Multiply
• Divide

Multiple Choice

What should we do SECOND to solve for x? y=mx+b

• Add
• Subtract
• Multiply
• Divide

Multiple Choice

SOLVE Y=MX+B FOR X

• $$x=y-m-b$$  

• $$x=\frac{y-m}{b}$$  

• $$x=\frac{y-b}{m}$$  

• $$x=ymb$$  

Multiple Choice

Which operation will we use to solve: C = 2πr, for r?

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Solve:
C = 2πr, for r

• $$\frac{C}{2\pi}=r$$  

• C + 2π = r
• C - 2π = r
• 2πC = r

Multiple Choice

Which operation will you use to solve a = b + c   , for  c

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Solve a = b + c   , for  c

• c = a - b
• c = a + b
• c = ab
• c = a / b

Multiple Choice

Which operation will you use to solve for r in d=rt?

• Add 

• Subtract 

• Multiply 

• Divide

Multiple Choice

$$Given\ d=rt,\ solve\ for\ r.\$$  

• $$r=\frac{t}{d}$$  

• $$t\ =\ \frac{d}{r}$$  

• $$d=\frac{r}{t}$$  

• $$r=\frac{d}{t}$$  

Multiple Select

Select all equations that are equivalent to

$$3\left(x+6\right)=4x+7$$  .

• $$3\left(x+6\right)=4x+7$$  

• $$3x=4x+7$$  

• $$3x+18=4x+7$$  

• $$18=x+7$$  

Multiple Select

Mai says that equation A and B have the same solution.
Equation A:

$$-3\left(x+7\right)=24$$  

Equation B:
$$x+7=-8$$  
Which statement explains why this is true?

• Adding 3 to both sides of Equation A gives  $$x+7=-8$$  

• Applying the distributive property to Equation A gives  $$x+7=-8$$  

• Subtracting  3 from both sides of Equation A gives  $$x+7=-8$$  

• Dividing both sides of Equation A by -3 gives  $$x+7=-8.$$  

Multiple Choice

Kiran says that a solution to the equation  $$x+4=20\$$  must also be a solution to the equation  $$5\left(x+4\right)=100$$  .  Select the most convincing reason why this is true.

• It just is.

• If you multiply both sides of  $$x+4=20$$  by 5, you get  $$5\left(x+4\right)=100$$  .

• Because  $$5x+4=100$$  .

• The equations are just equivalent.

Multiple Choice

Which equation is equivalent to the equation $$5x+30=45$$  ?

• $$35x=45$$  

• $$5x=75$$  

• $$5\left(x+30\right)=45$$  

• $$5\left(x+6\right)=45$$  

Multiple Select

Select all the equations that have the same solution as  $$2x-5=15$$  .

• $$2x=10$$  

• $$2x=20$$  

• $$2\left(x-5\right)=15$$  

• $$2x-20=0$$  

• $$4x-10=30$$  

Multiple Choice

Diegos's age is n is 5 more than 2 times his sister's age s. This situation is represented by the equation d=2s+5. Which equation is equivalent to the equation d=2s+5?

• $$d=2\left(s+5\right)$$

• $$d-5=2s$$

• $$d-2=s+5$$

• $$\frac{d}{2}=s+5$$