Algebra ll Benchmark Review

Four students have rewritten the radical expression 49^2/3 as shown. Who has rewritten the radical expression correctly?

• Mark

• Paul

• Jessie

• Sophie

Which statement is true?

• 3^-1 = 2 because 3-1 = 2.

• 9^-2 = -18 because 9 x -2 = -18.

• 16^1/2 = 8 because √16 = 8.

• 16^1/2 = 4 because ³√64 = 4.

Which is equivalent to (a³)⁴/a² ?

• a⁵

• a⁶

• a⁸

• a¹⁰

Which expression is equivalent to ∛729x⁶y¹⁵z³ ?

• 243x²y⁵z

• 9x²y⁵z

• 243x³y¹²

• 9x³y¹²

A total of 920 widgets are being packed and shipped in boxes that hold a maximum of 7 kilograms each. Each widget has a mass of 70 grams. What is the minimum number of boxes needed to pack and ship the entire order of widgets?

• 8

• 9

• 10

• 14

What is the set of real zeros of the function f(x) = (x² + 2500)(x² - 1600)?

• {40}

• {-40,40}

• {-50,50}

• {-50,-40,40,50}

Given the function P(x) = x³+ 4x² + kx + 15, for what value of k is (x+3) is a factor of P(x)?

• -26

• -8

• 8

• 26

In which step of the procedure did the landscaper make her first mistake?

• Step 3

• Step 5

• Step 6

• Step 7

Which of these graphs has roots -2 and 2 and a minimum of -4?

• 
• 
• 
• 

If the binomial (x-7) is a factor of the polynomial function f(x), which statement must be true?

• f (7) = -7

• f (7) = 0

• f (-7) = 0

• f (-7) = -7