# Algebra 2 Tutor Competency Quiz

8 Questions | Total Attempts: 396

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• 1.
The population of a town is currently 22,000. This represents an increase of 80% from the population 5 years ago. Find the population of the town 5 years ago. Round to the nearest whole number if necessary.
• A.

12,222

• B.

4400

• C.

17,600

• D.

27,500

• 2.
Find the equation of the line with the given slope and containing the given point. Express your answer in slope-intercept form. m = -3, (-6, 5)
• A.

Y = -3x + 13

• B.

Y = -3x - 13

• C.

Y - 5 = x + 6

• D.

Y - 5 = mx + 6

• 3.
Factor the difference of two squares completely. ab4 - 121a3b2
• A.

A(b² + 11ab)(b² - 11ab)

• B.

Ab²(b + 11a)(b – 11a)

• C.

Ab²(b – 11a)²

• D.

Prime

• 4.
Find the values of x such that the given function has the stated value. f(x) = x2 + 8x; f(x) = 48
• A.

X = 12 or x = 4

• B.

X = -12 or x = 4

• C.

X = 12 or x = -4

• D.

X = -12 or x = 1

• 5.
Factor the polynomial completely x4 - 8x2 + 7
• A.

(x² - 1)(x² - 7)

• B.

(x² + 1)(x² + 1)

• C.

(x² + 1)(x² - 7)

• D.

Prime

• 6.
Multiply, and then simplify if possible. Assume that all variables represent positive real numbers. (√2 + √5)2
• A.

10 + 2√10

• B.

-3 + 2√10

• C.

7 + 2√10

• D.

7 - 2√10

• 7.
Solve for x. 4⁻˟ = 1/64
• A.

X = 1/16

• B.

X = 3

• C.

X = -3

• D.

X = 1/3

• 8.
Solve the equation. log₃(2x + 2) = log₃(30)
• A.

X = 56

• B.

X = 14

• C.

X = 16

• D.

X = 64

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