Week 1

Instructions

Complete this review of Math pre-requisite skills with out a graphing calculator. If you struggle with any of these questions, please review them using CEMC resource 
AB-Grade11-Mathematics20-1-to-CEMC.pdf (uwaterloo.ca)

1

Factor a^{2}+5a-6

Required

1

Factor 3m^{2} + 7m -6

1

Sketch a graph with slope -3/2 and passes through (-2, 4)

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

1

A function f(x)=-3(x-2)^{2}+4 has a graph opening__________ with a vertex at __________. The graph has a __________ value at __________.

Required

1

Complete the square to convert the quadratic function f(x) = x^{2}-4x+7 to vertex form f(x)=a(x-p)^{2} + q. Record the value of apq in your response

Required

1

The restrictions on the variable for \frac{x^{2}-5x+6}{3x^{3}-27x} is/are

Required

1

The reciprocal function of f(x)=2(x-1)^{2}+1 has a invariant points and b vertical asymptotes. Write your response for ab below.

Required

1

When simplified \sqrt{x^{\frac{5}2}x^{\frac{2}3}} can be written as x^{\frac{a}b}. The value of a+b is

Required

1

Determine the value of sin \theta if

Required

1

Week 1

Factor a^{2}+5a-6

Factor 3m^{2} + 7m -6

Sketch a graph with slope -3/2 and passes through (-2, 4)

Complete the square to convert the quadratic function f(x) = x^{2}-4x+7 to vertex form f(x)=a(x-p)^{2} + q. Record the value of apq in your response

The restrictions on the variable for \frac{x^{2}-5x+6}{3x^{3}-27x} is/are

The reciprocal function of f(x)=2(x-1)^{2}+1 has a invariant points and b vertical asymptotes. Write your response for ab below.

When simplified \sqrt{x^{\frac{5}2}x^{\frac{2}3}} can be written as x^{\frac{a}b}. The value of a+b is

Determine the value of sin \theta if

If (15, -8) is a point on the terminal arm of \theta, then cos~ \theta is equal to

Factor a^{2}+5a-6

Factor 3m^{2} + 7m -6

Sketch a graph with slope -3/2 and passes through (-2, 4)

Complete the square to convert the quadratic function f(x) = x^{2}-4x+7 to vertex form f(x)=a(x-p)^{2} + q. Record the value of apq in your response

The restrictions on the variable for \frac{x^{2}-5x+6}{3x^{3}-27x} is/are

The reciprocal function of f(x)=2(x-1)^{2}+1 has a invariant points and b vertical asymptotes. Write your response for ab below.

When simplified \sqrt{x^{\frac{5}2}x^{\frac{2}3}} can be written as x^{\frac{a}b}. The value of a+b is

Determine the value of sin \theta if

If (15, -8) is a point on the terminal arm of \theta, then cos~ \theta is equal to