Lesson 2.7 HW quiz

Mai says that equations 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   $x+7=-8$  

Tags

CCSS.HSA.REI.A.1

Is 0 a solution to  $2x+10=4x+10$  ? Explain or show your reasoning.

• It is a solution because  $2\cdot0+10=10$  and  $4\cdot0+10=10$  .

• It is not a solution because  $2\cdot0+10=12$   and  $4\cdot0+10=14$   .

• It is a solution because solution is x=10 

Tags

CCSS.6.EE.B.5

 Kiran says that a solution to the equation 
 $x+4=20$  
 must also be a solution to the equation 
 $5x+20=100$  
Select all explanation as to why this is true.

• The two equations are equivalent. Multiplying the first  by 5 gives us the second equation . 

• Multiplying both sides of an equation  $x+4=20$   by  5 keeps the two sides equal,  and creates the second equation

• the value of  x that is a solution to the first equation is still a solution to the second equation.

Tags

CCSS.8.EE.C.7A

The entrepreneurship club is ordering potted plants for all 36 of its sponsors. One store charges $8.50 for each plant plus a delivery fee of $20. The equation  $360=x+7.50\cdot36$  
 represents the cost of ordering potted plants at a second store.
What does the x represent in this situation?

• The cost for each potted plant at the second store

• The delivery fee at the second store

• The total cost of ordering potted plants at the second store

• The number of sponsors of the entrepreneurship club

Tags

CCSS.7.EE.B.4A

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

•  $35x=45$  

•  $5x=75$  

•  $5\left(x+30\right)=45$  

•  $5\left(x+6\right)=45$  

Tags

CCSS.8.EE.C.7A

The environmental science club is printing T-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20.

If the T-shirt order costs a total of $162.50, how much does the company charge for each shirt?

• $9.50

• $10.00

• $10.50

• $9.00

Tags

CCSS.7.EE.B.4A

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

•  $2x=10$  

•  $2x=20$  

•  $2x-20=0$  

•  $4x-10=30$  

•  $15=5-2x$  

Tags

CCSS.8.EE.C.7A

Diego’s age d  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 

 $d=2s+5$  ?

•  $d=2\left(s+5\right)$  

•  $d-5=2s$  

•  $d-2=s+5$  

•  $\frac{d}{2}=s+5$  

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graph shows the relationship between temperature in degrees Celsius and temperature in degrees Fahrenheit.

Mark the point on the graph that shows the temperature in Celsius when it is 60 degrees Fahrenheit.

• point at (60,15.5)

• point at (140,60)

• point at (15.5,60)

• point at (60,140)

Tags

CCSS.8.EE.B.5

The graph shows the relationship between temperature in degrees Celsius and temperature in degrees Fahrenheit.

. Mark the point on the graph that shows the temperature in Fahrenheit when it is 60 degrees Celsius.

• point at (60,15.5)

• point at (140,60)

• point at (15.5,60)

• point at (60,140)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1