multi-step equations retake

10 - 15 - 4z = 8 - 2z - 15

• z = -1

• x = 1

• z = 1

• x = -1

What is the first step in solving:

5(x + 4) = 6x - 5

• Subtract 5 from both sides

• Distribute 5 to x + 4

• Combine alike terms

• multiply by 4

5y + 4 = 3y + 6

• y = -1

• x = 1

• y = 1

• x = -1

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

5+2x=2x+6

• no solution

• 4

• 6

• 2

Tags

CCSS.8.EE.C.7A

8x+4(4x-3)=4(6x+4)-4

• no solutions

• 2

• all real numbers

• 8

Tags

CCSS.8.EE.C.7A

4(-8x+5)=-32x-26

• 4

• 7

• 3

• no solution

Tags

CCSS.8.EE.C.7B

The Frederick 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 you would need to go on for both fairs to be of equal value? 

• 15x + 2.5 = 10x + 3
• 15 - 2.5x = 10 - 3x
• 15 + 2.5x = 10 + 3x
• 15 - 10 = 2.5x + 3x

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

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies. 

• 36,000x + 1,500 = 29,000x + 2,500
• 36,000 - 29,000 = 1,500x + 2,500x
• 36,000 - 1,500x = 29,000 - 2,500x
• 36,000 + 1,500x = 29,000 + 2,500x

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 35x
• 100x + 45 = 125x + 35
• 100 + 45x = 125 + 35x
• 100 - 45x = 125 - 35x 

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9