- 1. A rectangular yard has a length 3x + 2 and a width 5x - 2. What is a simplified expression for its perimeter? (In your work you must show a diagram and work)
Outcome B8
A) Perimeter = 16x + 44
B) Perimeter = -16x
C) Perimeter = 15x2 + 4x - 4
D) Perimeter = 15x2 - 4
E) Perimeter = 16x
- 2. A soccer field has the dimensions 3x + 10 (length) and 2x + 1 (width). Find a simplied expression for the area of the soccer field as well as the result.
Outcome B9
A) Area = (2x - 1)(3x + 10) = 5x2 + 9x + 9
B) Area = (2x + 1)(3x + 10) = 5x2 + 9x + 10
C) Area = (3x + 10)(2x + 1) = 6x2 + 20x + 11
D) Area = (3x + 10)(2x + 1) = 6x2 + 23x + 10
E) Area = (3x + 10)(2x + 1) = 6x2 + 23x - 9
- 3. Evaluate: (6h3 - 9h2 + 15h) divide by 3h.
Once you divide the trinomial by (3h), substitute h = -4.
What is your final answer?
Outcome B10
A) 49
B) 25
C) 29
D) -15
E) 20
- 4. A rectangle patio has an area of 6k2 + 4k and a width of 2k.
What is the length of the rectangle patio? You must show a diagram and work for complete assessment of this outcome.
Outcome B11
A) Length = 4k - 2
B) Length = 3k - 2
C) Length = 3k + 2
D) Length = 3k + 1
E) Length = 4k + 2
- 5. In the above question, if k = 1 meter, what is the perimeter of the patio. Again, show your work in the form of work/communication for complete assessment of outcome B11.
A) Perimeter = 16 meters
B) Perimeter = 10 meters
C) Perimeter = 14 meters
D) Perimeter = 11 meters
E) Perimeter = 12 meters
- 6. Factor the following by common factoring. Show your work.
2x2 - 8x
With your answer, please include a labelled rectangle with your alge tiles.
Outcome B12
A) 2(x2 - 4)
B) 4x(x - 2)
C) 2x(x2 + 4)
D) 2x(x - 4)
E) 2(x2 + 4)
- 7. Factor x2 + 7x + 10 by using your rules for trinomial factoring.
Outcome B12
A) (x + 8) ( x + 2)
B) (x + 5) ( x + 2)
C) (x + 10) ( x - 1)
D) (x + 2) ( x - 5)
E) (x + 9) ( x + 1)
- 8. Evaluate the expression:
(4y3 -12y2 + 8y) divide by (4y)
y = -3
Show your work for complete value.
Outcome B13
A) 20
B) -20
C) 38
D) 2
E) 22
- 9. Explain how the distributive property is used in multiplying:
(x + 5) (x + 6). Use complete sentences and diagrams to explain your answer.
Outcome B14
- 10. A baseball team won 25 more games than it lost. It played 109 games for the season. How many games did the team win?
Hint: Use an algebraic expression. Show your work and explain your answer.
Outcome B14
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