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.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve for f:
f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

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

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

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.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of 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

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Look at the Inequality
Which of the following scenarios could be used to represent it?

• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend no more than $80 on the T-shirts.  What are the possible number of T-shirts they can order?
• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend more than $80 on the T-shirts.  What are the possible number of T-shirts they can order?
• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend less than $80 on the T-shirts.  What are the possible number of T-shirts they can order?
• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend exactly $80 on the T-shirts.  What are the possible number of T-shirts they can order?  

Tags

CCSS.7.EE.B.4B

Joaquin has a $50 gift card from Pizza Palace.  All pizzas at Pizza Palace cost $7 each.  Joaquin wants to give the driver a $5 tip for delivering the pizza.  Which inequality could be used to determine the possible number of pizzas, p, he could order with his gift card, including the tip?

•      7p + 5 ≤ 50
• (7 + 5)p ≤50
• 7p + 5 ≥ 50
• 7p + 5 < 50

Tags

CCSS.7.EE.B.4B

7x = 3x + 24

• 6
• 10
• 14
• 4

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7