Purchase this Material for $4

You need to sign up or log in to purchase.

Subscribe for All Access
You need to sign up or log in to purchase.

Solutions
44 Videos

State the GCF for the following pair of terms.

`24`

and `60`

Buy to View

Q1a

State the GCF for the following pair of terms.

`x^3`

and `x^2`

Buy to View

Q1b

State the GCF for the following pair of terms.

`10y`

and `5y^2`

Buy to View

Q1c

State the GCF for the following pair of terms.

`-8a^2b`

and `-12ab^2`

Buy to View

Q1d

State the GCF for the following pair of terms.

`c^4 d^2`

and `c^3 d`

Buy to View

Q1e

State the GCF for the following pair of terms.

`27 m^4 n^2`

and `36 m^2 n^3`

Buy to View

Q1f

Determine the missing factor.

`7x - 28y = (\blacksquare)(x - 4y)`

Buy to View

Q2a

Determine the missing factor.

`6x - 9y = (3)(\blacksquare)`

Buy to View

Q2b

Determine the missing factor.

`24a^2 + 12b^2 = (\blacksquare)(2a^2 + b^2)`

Buy to View

Q2c

Determine the missing factor.

`x^2 - xy^3 = (x)(\blacksquare)`

Buy to View

Q2d

Determine the missing factor.

`-15x^2 + 6y^2 = (\blacksquare)(5x^2 -2y^2)`

Buy to View

Q2e

Determine the missing factor.

`a^4b^3 - a^3b^2 = (a^3b^2)(\blacksquare)`

Buy to View

Q2f

The tiles in the model represent an algebraic expression. Identify the expression and the greatest common factor of its terms.

Buy to View

Q3a

Buy to View

Q3b

Factor the expression.

`7z + 35`

Buy to View

Q4a

Factor the expression.

`-28x^2 + 4x^3`

Buy to View

Q4b

Factor the expression.

`5m^2 - 10mn + 5`

Buy to View

Q4c

Factor the expression.

`x^2y^4 - xy^2 + x^3y`

Buy to View

Q4d

A parabola is defined by the equation `y = 5x^2 -15x`

. Explain how you would determine the coordinates of the vertex of the parabola, without using a table of values or graphing technology.

Buy to View

Q5

Factor the expression.

`3x(5y - 2) + 5(5y - 2)`

Buy to View

Q6a

Factor the expression.

`4a(b + 6) - 3(b + 6)`

Buy to View

Q6b

Factor the expression.

`6xt - 2xy - 3t + y`

Buy to View

Q6c

Factor the expression.

`4ab + 4ac - b^2 - bc`

Buy to View

Q6d

The model represents a quadratic expression. Identify the expression and its factors.

Buy to View

Q7a

The model represents a quadratic expression. Identify the expression and its factors.

Buy to View

Q7b

Determine the value of each symbol.

`x^2 + \blacklozenge x + 12 = (x + 3)(x + \blacksquare)`

Buy to View

Q8a

Determine the value of each symbol.

`x^2 + \blacksquare x + \blacklozenge = (x + 3)(x + 3)`

Buy to View

Q8b

Determine the value of each symbol.

`x^2 - 12x + \blacksquare = (x - \blacklozenge)(x - \blacklozenge)`

Buy to View

Q8c

Determine the value of each symbol.

`x^2 - 7x + \blacklozenge = (x - 3)(x - \blacksquare)`

Buy to View

Q8d

Factor.

`x^2 + 8x - 33`

Buy to View

Q9a

Factor.

`n^2 + 7n -18`

Buy to View

Q9b

Factor.

`b^2 - 10b - 11`

Buy to View

Q9c

Factor.

`x^2 - 14x + 45`

Buy to View

Q9d

Factor.

`c^2 + 5c - 14`

Buy to View

Q9e

Factor.

`y^2 - 17y + 72`

Buy to View

Q9f

Factor.

`3a^2 - 3a - 36`

Buy to View

Q10a

Factor.

`x^3 - 6x^2 - 16x`

Buy to View

Q10b

Factor.

`2x^2 + 14x - 120`

Buy to View

Q10c

Factor.

`4b^2 - 36b + 72`

Buy to View

Q10d

Factor.

`-d^3 + d^2 + 30d`

Buy to View

Q10e

Factor.

`xy^3 + 2xy^2 + xy`

Buy to View

Q10f

Deanna throws a rock from the top of a cliff into the air. The height of the rock above the base of the cliff is modeled by the equation `h = -5t^2 + 10t + 75`

, where `h`

is the height of
the rock in metres and `t`

is the time in seconds.

a) How high is the cliff?

b) When does the rock reach its maximum height?

c) What is the rock's maximum height?

Buy to View

Q11

When factoring a quadratic expression of the form `x^2 + bx + c`

, why does it make more
sense to consider the value of `c`

before the value of `b`

? Explain.

Buy to View

Q12

Use the quadratic relation determined by `y = x^2 + 4x - 21`

.

a) Express the relation in factored form.

b) Determine the zeros and the vertex.

c) Sketch its graph.

Buy to View

Q13