Equations and Inequalities with Variables on Both Sides

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Tags

CCSS.HSA.REI.B.3

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6
• x = 6
• x = 3

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the equation
12x - 15 = 3(2x+3)

• x = 4
• x = -4
• x = 2
• x = -2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the equation
-8x - 8 +3(x - 2) = -3x + 2

• x = -8
• x = 8
• x = 2
• x = -2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x
 
11 + 1 - 4x + 5 = x - 2 - 1

• x = 4
• x = 11
• x = -3
• x = 0

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. After how many hours would the total amount that both places charge be the same?

• 3 hours
• 4 hours
• 1 hour
• 2 hours

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. After how many hours is the total fee charged by both companies the same?

• 2 hours
• 3 hours
• 4 hours
• 5 hours

A toy company spends $1,500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 apiece.  Which equation could be used to find the number of teddy bears, t, the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12
• 12 + 8t = 1500
• 1500 + 8t = 12t
• 8t = 12t + 1500