Write each expression in radical form and simplify if possible. $$y^{7/4}$$

$$(\sqrt[4]{y})^7$$ or 4th root of y to the 7th power

$$(\sqrt[7]{y})^4$$ or 7th root of y to the 4th power

$$(\sqrt[2]{y})^7$$ or square root of y to the 7th power

$$(\sqrt[4]{y})^2$$ or 4th root of y squared

Determine whether the situation represents a permutation or combination, then solve. The senior class has 480 students. How many ways can the senior class select a prom king and queen?

229,920 (Permutation: 480P2 = 480 × 479 = 229,920)

115,200 (Combination: 480C2 = 480 × 479 / 2 = 114,960)

960 (Permutation: 480P2 = 480 + 479 = 959)

480 (Only one way to select king and queen)

Write a formula for each sequence below, and then find each specified term. {-2, -7/4, -3/2, -5/4, -1, ...}; a₄₅

Formula: aₙ = -2 + (n-1)(1/4) a₄₅ = 9.5

Formula: aₙ = -2 + (n-1)(-1/4) a₄₅ = -12.5

Formula: aₙ = -2 + (n-1)(1/2) a₄₅ = 20.5

Formula: aₙ = -2 + (n-1)(-1/2) a₄₅ = -24

Write a formula for the sequence and find the specified term: {3, 5, 7, 9, ...}; a₃₀

Formula: aₙ = 3 + (n-1)(2) a₃₀ = 61

Formula: aₙ = 3 + (n-1)(3) a₃₀ = 90

Formula: aₙ = 3 + (n-1)(1) a₃₀ = 32

Formula: aₙ = 3 + (n-1)(4) a₃₀ = 119

Final Review Semester 2

Authored by Jeffrey Oran

Mathematics

11th Grade

CCSS covered

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21 questions

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MULTIPLE CHOICE QUESTION

1 min • 5 pts

Tags

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

1 min • 5 pts

∛x

√x

∜x

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Tags

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Divide and simplify.

4x√x

3x²/x³√36

4x²

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Solve each equation. 2∛(x - 6) = 16

x = 14

x = 10

x = 22

x = 8

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

1 min • 5 pts

x = 15

x = 10

x = 20

x = 5

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

1 min • 5 pts

x = 0, x = 5

x = 1, x = 4

x = -3, x = 2

x = 2, x = 7

Tags

CCSS.HSA.REI.A.2

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Final Review Semester 2

Divide and simplify.

Solve each equation. 2∛(x - 6) = 16

The square root parent function is translated 5 units right and 1 unit down. Write the new function: ________

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