End-of-Course Assessment to Prepare for the Algebra I ADP End-of-Course Exam

The following items should be completed without a calculator. For multiple choice questions, write the letter of the correct answer on your paper. For all other questions, show your work and clearly explain your answer.

1. Which equation represents a line with a greater slope and lesser y-intercept than the line shown?

   

   1. y = x − 1 y equals x minus 1
   2. y = − x − 1 y equals negative x minus 1
   3. y = − 2 x − 2 y equals negative 2 x minus 2
   4. y = 3 x − 3 y equals 3 x minus 3
2. Which expression is equivalent to 3 ( x 2 + 1 ) − 5 x ( x 2 + x + 1 ) ? 3 open , x squared , plus 1 close minus 5 x open , x squared , plus x plus 1 close question mark
   1. − 5 x 3 + 8 x 2 + 5 x + 3 negative 5 , x cubed , plus 8 , x squared , plus 5 x plus 3
   2. − 5 x 3 − 2 x 2 − 5 x + 3 negative 5 , x cubed , minus 2 , x squared , minus 5 x plus 3
   3. − 10 x 3 + x 2 − 7 x + 6 negative 10 , x cubed , plus , x squared , minus 7 x plus 6
   4. 5 x 3 − 2 x 2 − 5 x + 3 5 , x cubed , minus 2 , x squared , minus 5 x plus 3
3. You roll a pair of number cubes. What is the probability of rolling odd numbers on both cubes?
   1. 1 12 1 twelfth
   2. 1 6 1 sixth
   3. 1 4 1 fourth
   4. 2 3 2 thirds
4. What is the greatest value in the range of f ( x ) = x 2 − 3 f open x close equals , x squared , minus 3  for the domain { − minus 3, 0, 1, 2}?
   1. − 3 negative 3
   2. 0
   3. 2
   4. 6

5. Which equation best represents the graph below?

   

   1. y = x 2 y equals , x squared
   2. y = − x 2 y equals negative , x squared
   3. y = x 2 − 2 y equals , x squared , minus 2
   4. y = x 2 + 2 y equals , x squared , plus 2
6. Which table models the graph shown below?

   

   1. x	− 2 negative 2	0	1	4
      y	1	2	3	4

   2. x	− 6 negative 6	− 3 negative 3	0	6
      y	− 1 negative 1	0.5	2	5

   3. x	− 1 negative 1	0	3	4
      y	− 6 negative 6	− 4 negative 4	2	4

   4. x	0	0.5	1	2
      y	− 4 negative 4	− 3 negative 3	− 2 negative 2	0

7. Which of the graphs below represents the solution set of − 3 < x + 3 ≤ 7 ? negative 3 less than x plus 3 less than or equal to 7 question mark
   1. 
   2. 
   3. 
   4. 

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