0.3 MCR3U GRADE 10 REVIEW

A parabola has the equation y = 2(x - 5)² + 3. What are the coordinates of the vertex?

• (5,3)
• (-5,3)
• (2,5)
• (2,3)

Which of the following linear equations is equivalent to x + y = 3?

• 3x - 9 = 3y
• -2x + 6 = 2y
• -x - y = 3
• y + 3 = -x

Line segment AB has endpoints A(-1,2) and B(-5,0). What are the coordinates of the midpoint of AB?

• (-2,1)
• (2,1)
• (-3,1)
• (-6,2)

The graph of y = x² is translated 3 units to the right. What is the equation of the new graph?

• y = (x + 3)²
• y = 3x²
• y = (x - 3)²
• y = x² + 3

The graph of y = x² is vertically stretched by a factor of 4. What is the equation of the new graph?

• y = 4x²
• y = 1/4x²
• y = x² + 4
• y = (x + 4)²

Evaluate 3⁰ - 3² + 3^-1.

• -3
• -5
• -2/3
• -23/3

Factor 2x² - 6x fully.

• 2x² - 6x
• 2(x² - 3x)
• 2x(x - 3)
• x(2x - 6)

Factor x² - 3x + 4 fully.

• (x - 1)(x + 4)
• (x + 1)(x - 4)
• (x - 2)(x - 2)
• cannot be factored

A parabola has the equation y = x² + 4x - 1. What are the coordinates of the vertex?

• (4,-1)
• (2,-5)
• (-2,-5)
• (-1,4)

What is the solution for the following linear system: 3x - 2y = -7 and x + y = 6?

• x = 5, y = -1
• x = -2, y = 8
• x = 0, y = 6
• x = 1, y = 5