Transcript 8th Grade Math Cumulative Review

Algebra I
Chapter 10 Review
Question # 1
• Simplify. Write in standard form.
(5x3 + 3x2 – 7x +10) – (3x3 – x2 + 4x -1)
Answer # 1
• Simplify. Write in standard form.
(5x3 + 3x2 – 7x +10) – (3x3 – x2 + 4x -1)
2x3 + 4x2 - 11x + 11
Question # 2
• Simplify. Write in standard form.
(x2 + 3x - 2) + (4x2 - 5x + 2)
Answer # 2
• Simplify. Write in standard form.
(x2 + 3x - 2) + (4x2 - 5x + 2)
5x2 - 2x
Question # 3
• Find each product. Write in standard
form.
4x(x2 + 3)
Answer # 3
• Find each product. Write in standard
form.
4x(x2 + 3)
4x3 + 12x
Question # 4
• Find each product. Write in standard
form.
(5c + 3)(-c + 2)
Answer # 4
• Find each product. Write in standard
form.
(5c + 3)(-c + 2)
-5c2 + 7c + 6
Question # 5
• Find each product. Write in standard
form.
(x - 1)(x2 + x + 1)
Answer # 5
• Find each product. Write in standard
form.
(x - 1)(x2 + x + 1)
x3 - 1
Question # 6
• Factor.
x2 + 3x - 4
Answer # 6
• Factor.
x2 + 3x - 4
(x + 4)(x – 1)
Question # 7
• Factor.
4x2 + 4x + 1
Answer # 7
• Factor.
4x2 + 4x + 1
(2x + 1)2
Question # 8
• Factor.
4x2 - 25
Answer # 8
• Factor.
4x2 - 25
(2x - 5)(2x + 5)
Question # 9
• Solve for x. Give the exact answer.
x2 + 4x = 2x2 –x + 6
Answer # 9
• Solve for x. Give the exact answer.
x2 + 4x = 2x2 –x + 6
x2 – 5x + 6 = 0
(x - 3)(x - 2) = 0
x = 2 or 3
Question # 10
• Solve for x. Give the exact answer.
x2 + 4x + 1 = x
Answer # 10
• Solve for x. Give the exact answer.
x2 + 4x + 1 = x
x2 + 3x + 1 = 0
x = -3 ± √5
2
Question # 11
• Solve for x. Give the exact answer.
x2 + 10x + 40 = 0
Answer # 11
• Solve for x. Give the exact answer.
x2 + 10x + 40 = 0
No solution
Question # 12
• Solve using complete the square
method.
2x2 + 8x - 6 = 0
Answer # 12
• Solve using complete the square
method.
2x2 + 8x - 6 = 0
x2 + 4x - 3 = 0  x2 + 4x + 4 = 3 + 4
(x + 2)2 = 7  x + 2 = ±√7
x = -2 ±√7
Question # 13
• Solve for x.
8x5 + 12x4 – 20x3 = 0
Answer # 13
• Solve for x.
8x5 + 12x4 – 20x3 = 0
4x3(2x2 + 3x – 5) = 0
4x3(2x + 5)(x – 1) = 0
x = {0, 1, -5/2}
Question # 14
• Solve for p.
4p2 = 36
Answer # 14
• Solve for p.
4p2 = 36
p2 = 9
p = ±3