Algebra 2 quiz

Simplify 5(5-i)

• 25-5i

• 30-5i

• 20-5i

• 25+5i

Answer explanation

To simplify 5(5-i), distribute the 5: 5*5=25 and 5*(-i)=-5i. Combine the terms to get 25-5i, which is the correct answer choice.

Tags

CCSS.HSN.CN.C.8

(4+5i)2

• 3 + 9i

• 10 + 8i

• 8+10i

• 6 + 8i

Answer explanation

To find (4+5i)^2, use the formula (a+bi)^2 = a^2 - b^2 + 2abi. In this case, (4+5i)^2 = 4^2 - 5^2 + 2(4)(5)i = 16 - 25 + 40i = -9 + 40i = 8 + 10i.

Tags

CCSS.HSN.CN.C.8

What is the result of (3+4i)(2-3i)?

• 6 - 9i

• 6 + 17i

• 17 - 1i

• 18 + 12i

Answer explanation

To find the result, use the FOIL method: (3+4i)(2-3i) = 3*2 + 3*(-3i) + 4i*2 + 4i*(-3i) = 6 - 9i + 8i - 12i^2 = 6 - i(9 - 12) = 6 - i(-3) = 6 + 3i = 17 - 1i. Therefore, the correct answer is 17 - 1i.

Tags

CCSS.HSN.CN.C.8

Simplify (2+3i)(2-3i)

• 13

• 4 - 9i

• 4 + 9i

• 5

Answer explanation

To simplify (2+3i)(2-3i), we use the formula (a+bi)(a-bi) = a^2 - b^2i^2. This gives us 2^2 - 3^2(i^2) = 4 - 9(-1) = 4 + 9 = 13. Therefore, the correct answer is 13.

Tags

CCSS.HSN.CN.C.8

What is the conjugate of 7 - 5i?

• 7 + 5i

• -7 + 5i

• 7 - 5i

• -7 - 5i

Answer explanation

The conjugate of a complex number is obtained by changing the sign of the imaginary part. Therefore, the conjugate of 7 - 5i is 7 + 5i. Hence, the correct choice is 7 + 5i.

Tags

CCSS.HSN.CN.A.3

Find the degree of this polynomial.

-3q^9 + 9q^8 + 2q^3

• -5

• 3

• 6

• 9

Answer explanation

The degree of a polynomial is determined by the highest power of the variable. In this case, the highest power is q^9, so the degree of the polynomial is 9.

You want to find how many terms this polynomial has?

-4m^6 - 2m^4 - m^3 - 3m

• 6
• 4
• 5
• 2

Answer explanation

The terms being added or subtracted so there are 4 terms.

Find the degree of this polynomial

-6f^10 + 3f^4

Answer explanation

The degree of a term is the exponent of its variable. To find the degree of a polynomial

How many terms are in the polynomial?

5x^7 + 3x^5 - x^2 + 4

• 3

• 4

• 5

• 2

Find the number of terms and the degree of this polynomial

-3b^3

• Number of terms: 3, Degree: 4
• Number of terms: 2, Degree: 3
• Number of terms: 1, Degree: 3
• Number of terms: 1, Degree: 2