Algebra 1: Semester 2 Exam Study Guide

Expressed in factored form, the binomial 2x²y − 4xy³ is equivalent to

• 2xy(x − 2y)

• 2xy(y − 4y)

• 2xy(x − 2y²)

• 2x²y³(y − 2)

The quotient of −18x⁶ / 6x³ is equal to

• −3x³

• −3x²

• −12x²

• −12x³

Which quadratic function is shown in the accompanying graph?

• y = −2x²

• y = 2x²

• y = −½x²

• y = ½x²

The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are

• (0, 2)

• (0, 6)

• (0, 18)

• (6, 0)

The product of 4x⁴ and 5x⁵ is

• 9x⁹

• 9x²⁰

• 20x⁹

• 20x²⁰

Which expression is equivalent to the expression (2x + 4)(x − 6)?

• 2x² − 24

• 2x² − 8x − 24

• x² − 4x − 12

• 2x² + 4x − 24

Which ordered pair is the solution set for this system of equations? x + y = 8 and y = x − 3

• (2.5, 5.5)

• (4, 1)

• (4, 4)

• (5.5, 2.5)

Which expression is equivalent to (3x²)³?

• 9x⁵

• 9x⁶

• 27x⁵

• 27x⁶

If x > 0, the expression (√x)(√2x) is equivalent to

• √2x

• 2x

• x²√2

• x√2

The expression (10w³)² / 5w is equivalent to

• 2w⁵

• 2w⁶

• 20w⁵

• 20w⁶