University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

15

Pages:

2
Author:

anon

Algebra Quiz Solutions 1. Identify the coefficient and the degree of the following terms Term − 2𝑥 Coefficient Degree 4 1 3 3 2 𝑚𝑛 𝑥𝑦 − 2 1 3 1 4 5 2 2. Provide an example of each of the following polynomials. 4 1 3 a) a monomial − 2𝑥 , 3 2 𝑥𝑦 2 3 b) a trinomial 𝑥 + 𝑦 − 2𝑥 𝑦 3 c) a polynomial with degree 3 𝑥 + 𝑦 − 2𝑥𝑦 + 𝑦 2 d) a polynomial with degree 0 -2 3. (3𝑥 − 5) − (𝑥 − 4) simplified is 2𝑥 − 1 (3𝑥 − 5) − (𝑥 − 4) = 3𝑥 − 5 − 𝑥 + 4 = 2𝑥 − 1 4. Which expression shows − 2(𝑦 + 1) expanded? − 2𝑦 − 2 − 2(𝑦 + 1) =− 2𝑦 − 2 5. Simplify the following expression. a) 8𝑛 + 5 − 3𝑛 − 2 = 8𝑛 − 3𝑛 + 5 − 2 = 5𝑛 + 3 2 2 b) − 3𝑢 + 2 − 𝑢 − 5 + 3𝑢 + 2𝑢 − 3 2 2 = 0 − 6 +𝑢 2 =𝑢 − 6 c) (4𝑥 − 3) + (𝑥 + 8) − (2𝑥 − 5) = 4𝑥 − 3 + 𝑥 + 8 − 2𝑥 + 5 = 4𝑥 + 𝑥 − 2𝑥 − 3 + 8 + 5 = 3𝑥 + 10 6. Expand a) 4(𝑥 + 2) = 4(𝑥) + 4(2) = 4𝑥 + 8 2 =− 3𝑢 + 3𝑢 + 2 − 5 − 3 − 𝑢 + 2𝑢 − 2 ( ) b) − 5ℎ 3ℎ − 7ℎ − 2 2 ( 3 ) − 5ℎ2 (− 7ℎ) − 5ℎ(− 2) =− 5ℎ 3ℎ =− 15ℎ + 35ℎ + 10ℎ 7. Expand and simplify − 4(𝑦 + 1) + 2(2𝑦 − 3) − 4(𝑦 + 1) + 2(2𝑦 − 3) =− 4(𝑦) − 4(1) + 2(2𝑦) + 2(− 3) =− 4𝑦 − 4 + 4𝑦 − 6 =− 4𝑦 + 4𝑦 − 4 − 6 = 0 − 10 =− 10