Algebra 1B final

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  Which system of equations represents the situation?

• 2x + 3y = 55
  2x + 5y = 3
• x + y = 55
  x - y = 3
• x + y = 3
  x - y = 55

Tags

CCSS.HSA.CED.A.3

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

• a = 7
  b = 10
• a = 8
  b = 5
• a = 10
  b = 13

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

John and Vicki are training for a 5km race.  John has already run 20 kilometers and plans to run 10 kilometers each day.  Vicki has already run 30 kilometers but plans to run only 5 kilometers per day. The graph below displays each of their training schedules. Which system of equations could be used to determine by which day both John and Vicki will have run the same amount in their training schedule?

• John: y = 20x + 10    Vicki: y = 30x + 5
• John: y = 10x + 20    Vicki: y = 30x + 5
• John: y = -10x + 20  Vicki: y = 5x + 30
• John: y = 10x + 20  Vicki: y = 5x + 30

Tags

CCSS.8.EE.C.8C

Which equation represents the following graph?

• y = 3x + 2
• y = -2x + 3
• y = 2x + 3
• y = -3x + 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Write -4x+2y=-6

• y=-2x+3
• y=2x+3
• y=2x-3
• y=-2x-3

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?

• 7 months
• 6 months
• 5 months 
• 4 months

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES
• NO

Solve the system by elimination method
2x  + 3y = 6
-2x + 4y = 8

• (2,0)
• (0,2)
• (-2,0)
• (0,-2)

Solve by elimination:
7x-9y=29

7x+2y=-15

• (-4,-1)
• (-1,-4)
• (-1,4)
• (-1,6)

y = 5
-6x+3y = 3

• (4,1)
• (1, 5)
• (2, 1)
• (2, 5)