Variables on Both Sides (word)

What is the goal of solving an equation with variables on both sides of the equal sign?

• Find a value of x that makes both sides of the equal sign equal to each other.

• To combine like terms on each side of the equal sign.

• Find a value of x that makes one side of the equation correct.

Tags

CCSS.HSA.REI.A.1

Solve the following equation for  $x.$ 

  $5x\ -\ 6\ =\ 8\ -\ 2x$  

•  $x\ =\ 2$  

•  $x\ =\ -4\ \frac{2}{3}$  

•  $x=\ -2$  

•  $x\ =-\frac{2}{3}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation for  $x.$ 

  $-5x\ +\ 2\ =\ 2x\ +\ 9$  

•  $x\ =\ 2$  

•  $x\ =\ 1\ \frac{2}{7}$  

•  $x\ =\ -1$  

•  $x\ =\ 1$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation for  $x.$ 

  $-4x\ +\ 2\ =\ -3x\ -\ 6$  

•  $x\ =\ 8$  

•  $x\ =\ -8$  

•  $x=\ -\frac{4}{7}$  

•  $x\ =\frac{4}{7}$  

Tags

CCSS.HSA.REI.B.3

Solve the following equation for  $x.$ 

  $-4\ +\ 2x\ =\ -3x\ -\ 6$  

•  $x\ =\ 10$  

•  $x\ =\ -10$  

•  $x=\ -\frac{2}{5}$  

•  $x\ =\frac{2}{5}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation for  $x.$ 

  $-4x\ +\ 7\ =\ 5\ -\ 6x$  

•  $x\ =\ 1$  

•  $x\ =\ -1$  

•  $x=\ -6$  

•  $x\ =6$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which of the following steps would NOT be a correct step towards solving the equation below:

 $-14x\ -\ 7\ =\ 3x\ +\ 2$  

• Combining  $-14x$  and  $3x$  to get  $-11x.$  

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

• Subtracting  $3x$  from  $-14x$  to get  $-17x.$   

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

The Bucks County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides, (r), you would need to go on for both fairs to cost the same?

•  $15r\ +\ 2.5\ =\ 10r\ +\ 3$  

•  $15\ -2.5r\ =\ 10\ -3r$ 

•  $15\ +\ 2.5r\ =\ 10\ +3r$  

•  $15\ -10\ =\ 2.5r\ +\ 3r$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

One tank of water contains 520 gallons, but is is leaking 25 gallons per hour. A second tank of water contains 160 gallons of water but 35 gallons of water are being added to this tank every hour. After how many hours (h) will the two tanks have the same amount of water?

• 68 hours

• 38 hours

• They will never have the same amount of water in their tanks.

• 6 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Ben starts with $650.00 in his savings account and adds an additional $25.00 each week. Amir starts with $750.00 in his savings account and adds an additional $20.00 each week. How many weeks (w) will it take for Ben and Amir to have the same amount of money in their account?

• 31 weeks

• 20 weeks

• 2 weeks

• They will never have the same amount of money in their accounts.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1