1.3 Solving Equations 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 for f:
f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

• x = -6
• x = 6
• x = 3

Tags

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.A.1

CCSS.HSA.REI.B.3

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

x + 2 = x + 4

• all real numbers
• no solution
• x = 0

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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. For how many hours is the total fee charged by the companies the same?

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

Tags

CCSS.8.EE.C.8C

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Tags

CCSS.7.EE.B.4A