Writing Equations and Special Cases Review C1

Solve:

5x + 4 = 5x − 3

• x = 4

• x = -3

• infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

Solve:

9y − 5 = 2y + 9

• y = -2

• y = 2

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

6(y + 4) = 6y + 10

• y = 10

• y = 24

• infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

Solve the following equation:

9x + 7 − 5x = 4x − 7

• x = 7

• x = −7

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Determine the type of solution:
4-2x = 2(x+4)

• one solution, x=-1
• one solution, x=3
• no solution
• infinite solutions

Tags

CCSS.8.EE.C.7A

What is the next step you should take?

14x + 8 = -3 - 7x

• Collect the variables (letters) on the left side

• multiply -7 to both sides

• add 14x to both sides

• subtract 7x to both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Tags

CCSS.HSA.REI.A.1

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 + 30x
• 100x + 45 = 125x + 30
• 100 + 45x = 125 + 30x
• 100 - 45x = 125 - 30x 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Select the situation that could be modeled by: 12 + 5x = 18+3x

• Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?
• Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?
• Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1