Transcript No Slide Title

Lesson
Quizzes
1-1
Evaluating
Algebraic Expressions
Preview
12-1: Polynomials
12-2: Simplifying Polynomials
12-3: Adding Polynomials
12-4: Subtracting Polynomials
12-5: Multiplying Polynomials by Monomials
12-6: Multiplying Binomials
Holt CA Course 2
12-1 Polynomials
1-1
Evaluating Algebraic Expressions
Lesson Quiz
Determine whether each expression is a
monomial.
1. 5a2z4 yes
2. 3√x
no
Classify each expression as a monomial, a
binomial, a trinomial, or not a polynomial.
3. 2x2 – 3x – 6
4. 3m3+ 4m
trinomial
binomial
Find the degree of each polynomial.
5. 3a2 + a5 + 26 5
Holt CA Course 2
6. 2c3 – c2 3
12-2
Polynomials
1-1 Simplifying
Evaluating
Algebraic
Expressions
Lesson Quiz
Identify the like terms in each polynomial.
1. 2x2 – 3z + 5x2 + z + 8z2
2x2 and 5x2, z and –3z
2. 2ab2 + 4a2b – 5ab2 – 4 + a2b
2ab2 and –5ab2, 4a2b and a2b
Simplify.
3. 5(3x2 + 2) 15x2 + 10
4. –2k2 + 10 + 8k2 + 8k – 2
6k2 + 8k + 8
5. 3(2mn2 + 3n) + 6mn2 12mn2 + 9n
Holt CA Course 2
12-3
Polynomials
1-1 Adding
Evaluating
Algebraic
Add.
Lesson Quiz
Expressions
1. (2m2 – 3m + 7) + (7m2 – 1) 9m2 – 3m + 6
2. (yz2 + 5yz + 7) + (2yz2 – yz) 3yz2+ 4yz + 7
3. (2xy2 + 2x – 6) + (5xy2 + 3y + 8)
7xy2 + 2x + 3y + 2
4. (3np3 + 4n) + (5np3 – n – 6) + (2n – 3)
8np3 + 5n – 9
5. The base of an isosceles triangle has length
x + 4. The two legs of the triangle have
lengths 3x + y. Write an expression for the
perimeter of the triangle. 7x + 2y + 4
Holt CA Course 2
12-4
Polynomials
1-1 Subtracting
Evaluating
Algebraic
Expressions
Lesson Quiz
Find the opposite of each polynomial.
1. 3a2b2c3 –3a2b2c3
2. –3m3 + 2m2n
3m3 – 2m2n
Subtract.
3. (3z2 – 7z + 6) – (2z2 + z – 12)
4. –18h3 – (4h3 + h2 – 12h + 2)
5. (3b2c + 5bc2 – 8b2)
– (4b2c + 2bc2 – c2)
– b2c + 3bc2 – 8b2 + c2
Holt CA Course 2
z2 – 8z + 18
– 22h3 – h2 + 12h – 2
12-5
Polynomials
by Monomials
1-1 Multiplying
Evaluating
Algebraic
Expressions
Lesson Quiz
Multiply.
1. (3a2b)(2ab2)
6a3b3
2. (4x2y2z)(–5xy3z2) –20x3y5z3
3. 3n(2n3 – 3n)
6n4 – 9n2
4. –5p2(3q – 6p)
–15p2q + 30p3
5. –2xy(2x2 + 2y2 – 2)
–4x3y – 4xy3 + 4xy
6. The width of a garden is 5 feet less than 2
times its length. Find the garden’s length and
width if its area is 63 ft2. l = 7 ft, w = 9 ft
Holt CA Course 2
12-6
Binomials
1-1 Multiplying
Evaluating
Algebraic
Multiply.
Lesson Quiz
1. (x + 5)(x + 2)
x2 + 7x + 10
2. (c – 4)(c – 2)
c2 – 6c + 8
3. (2y + 2)(y – 3)
2y2 – 4y – 6
Expressions
4. (2m + 2)(3n + 2) 6mn + 4m + 6n + 4
5. (a – 1)2
a2 – 2a + 1
6. (b + 3)(b – 3)
b2 – 9
4w2 + 100w yd2
7. Find the area of a cement walkway of width w yd
that is around a 20 yd by 30 yd pool.
Holt CA Course 2