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Algebra – TOOL KIT
Chapter 5 Test Review
5.1 ExponentsSimplify. Express using only positive exponents.
1) a4 ( a7
2) (3x2y3)(-2x4y)
3)
4) 5a-4
5.2 More with ExponentsSimplify. Express using only positive exponents.
1) (n5)3
2) (2c3d)4
3)
5.3 Multiplying and Dividing MonomialsMultiply:
1) (-4a3b)(2a2b5)
2) (3m4)(-m3)(7m)
Divide
3)
4)
Simplify:
5) (x4y)3(x2y-3)2
6)
5.5 Scientific NotationWrite in standard notation.
1) 3.14 ( 105
2) 2.05 ( 10-3
Write in scientific notation.
3) 0.0000417
4) 8,640,000,000,000
Multiply or divide. Write your answer in scientific notation.
5) (3.6 ( 104)(1.5 ( 108)
6)
5.5 PolynomialsIdentify as a monomial, binomial, trinomial or polynomial. Give the coefficient of each term.
1) –x3 + 5x4 – 3
2) 12x2y3z5
Collect like terms.
3) –4x2y + 5xy2 – x2y + 3
4) 5a3 + a4 – 2a + 6a4
5.6 More about PolynomialsWrite in descending order for the variable x.
1) 7x3 – 4x5 + x + 5x2 – 4x4y
Write in ascending order for the variable x.
2) 2x3 – 4x5 + x + 4x2 – 9
Evaluate the polynomial for the given value.
3) 2x3 – 5x2 + 4x – 8 for x = -2
5.7 Addition of PolynomialsAdd:
1) 5m3 – 2m4 + m and 2m – 5m3
2) (5x3 – 7x2 + 4) + (-2x3 + 5x2 +6x)
3)
5.8 Subtraction of PolynomialsSubtract:
1) (4n2 – 3n + 8) – (n2 + 5n – 3)
2) (x3 – 2x2 + 5) – (4x3 + 5x2 – x)
3)
5.9 Multiplication of Monomials and BinomialsMultiply:
1) 3x2(4x3 – 2x + 5)
2) (3x – 5)(2x + 1)
3) (4x2 – 3)(x + 5)
5.10 Multiplying Binomials: Special ProductsMultiply:
1) (x – 5)(x + 5)
2) (3x – 2)(3x + 2)
3) (2x + 3)2
4) (x – 4)2
5.11 Multiplying PolynomialsMultiply:
1) (5x2 – 2x + 4)(x + 6)
2) (2x – 1)(x3 – 2x2 + 5x)
3) (x – 9)(3x + 4)
4) 4x2y(3x2 – 4x + 7)
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Chapter 5 Test Review
5.1 ExponentsSimplify. Express using only positive exponents.
1) a4 ( a7
2) (3x2y3)(-2x4y)
3)
4) 5a-4
5.2 More with ExponentsSimplify. Express using only positive exponents.
1) (n5)3
2) (2c3d)4
3)
5.3 Multiplying and Dividing MonomialsMultiply:
1) (-4a3b)(2a2b5)
2) (3m4)(-m3)(7m)
Divide
3)
4)
Simplify:
5) (x4y)3(x2y-3)2
6)
5.5 Scientific NotationWrite in standard notation.
1) 3.14 ( 105
2) 2.05 ( 10-3
Write in scientific notation.
3) 0.0000417
4) 8,640,000,000,000
Multiply or divide. Write your answer in scientific notation.
5) (3.6 ( 104)(1.5 ( 108)
6)
5.5 PolynomialsIdentify as a monomial, binomial, trinomial or polynomial. Give the coefficient of each term.
1) –x3 + 5x4 – 3
2) 12x2y3z5
Collect like terms.
3) –4x2y + 5xy2 – x2y + 3
4) 5a3 + a4 – 2a + 6a4
5.6 More about PolynomialsWrite in descending order for the variable x.
1) 7x3 – 4x5 + x + 5x2 – 4x4y
Write in ascending order for the variable x.
2) 2x3 – 4x5 + x + 4x2 – 9
Evaluate the polynomial for the given value.
3) 2x3 – 5x2 + 4x – 8 for x = -2
5.7 Addition of PolynomialsAdd:
1) 5m3 – 2m4 + m and 2m – 5m3
2) (5x3 – 7x2 + 4) + (-2x3 + 5x2 +6x)
3)
5.8 Subtraction of PolynomialsSubtract:
1) (4n2 – 3n + 8) – (n2 + 5n – 3)
2) (x3 – 2x2 + 5) – (4x3 + 5x2 – x)
3)
5.9 Multiplication of Monomials and BinomialsMultiply:
1) 3x2(4x3 – 2x + 5)
2) (3x – 5)(2x + 1)
3) (4x2 – 3)(x + 5)
5.10 Multiplying Binomials: Special ProductsMultiply:
1) (x – 5)(x + 5)
2) (3x – 2)(3x + 2)
3) (2x + 3)2
4) (x – 4)2
5.11 Multiplying PolynomialsMultiply:
1) (5x2 – 2x + 4)(x + 6)
2) (2x – 1)(x3 – 2x2 + 5x)
3) (x – 9)(3x + 4)
4) 4x2y(3x2 – 4x + 7)
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