📌🎮Math8 TPR #27 Due Friday, May 16, 2025

State whether the product of √3 and √9 is rational or irrational.

• Rational

• Irrational

Given: L = √2 M = 3√3 N = √16 P = √9 Which expression results in a rational number?

• L + M

• M + N

• N + P

• P + L

The formula for the volume of a cone is V = (1/3)πr²h. The radius, r, of the cone may be expressed as

• √(3V/πh)

• √(V/3πh)

• 3√(V/πh)

• (1/3)√(V/πh)

Michael borrows money from his uncle, who is charging him simple interest using the formula I = Prt. To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His new formula is r equals

• (I - P) / t

• (P - I) / t

• I / (Pt)

• (Pt) / I

Teddy bought 15 tickets to a movie, where adult tickets cost $6.00 and senior citizen tickets cost $4.00. He spent a total of $76. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Teddy purchased?

• a + s = 15

  10as = 76

• a + s = 15

  6a + 4s = 76

• a + s = 15

  4a + 6s = 76

• a + s = 15

  a + s = 76

• a + s = 76

  6a + 4s = 15

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The product of a nonzero rational and an irrational is always irrational.

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The product of a nonzero rational and an irrational is always irrational.

Tags

CCSS.HSN.RN.B.3

Hint: Factor completely (Look for GCF first)

• 2(3x+5)²

• 2(3x-5)²

• 2(3x-5)(3x+5)

• 2(3x-25)(3x+25)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which Polynomial has a leading coefficient of 4 and a degree of 3?

• 3x⁴-2x²+4x-7

• 4+x-4x²+5x³

• 4x⁴-3x³+2x²

• 2x+x²+4x³

Tags

CCSS.HSA.APR.A.1

A public opinion poll was taken to explore the relationship between computations. age and support for a candidate in an election. The results of the poll are summarized in the table.

What percent of the 21– 40 age group was for the candidate?

• 15

• 25

• 40

• 60