Mid Chapter Review
Chapter
Chapter 2
Section
Mid Chapter Review
Purchase this Material for $5
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 33 Videos

Simplify.

\displaystyle (4a^2-3a + 2)-(-2a^2-3a + 9)

Buy to View
Q1a

Simplify.

\displaystyle (2x^2 -4xy + y^2)-(4x^2+7xy-2y^2)+(3x^2 + 6y^2)

Buy to View
Q1b

Simplify.

\displaystyle -(3d^2-2cd + d)+d(2c -5d) -3c(2c + d)

Buy to View
Q1c

Simplify.

\displaystyle 3x(2x + y)-4x[5-(3x + 2)]

Buy to View
Q1d

Simplify.

\displaystyle 2a(3a - 5b + 4) - 6(3-2a -b)

Buy to View
Q1e

Simplify.

\displaystyle 7x(2x62 + 3y -3)-3x (9 -2x + 4y)

Buy to View
Q1f

Determine whether each pair of functions is equivalent.

\displaystyle g(t) = (t - 2)^5 and \displaystyle h(t) = (2 -t)^5

Buy to View
Q2a

Determine whether each pair of functions is equivalent.

\displaystyle f(x) = (x^2 -6x)-(x^2 + x - 4)+(2x^2 + 1) and \displaystyle g(x) = (4x^2-7x -3) - (2x^2 -8)

Buy to View
Q2b

Determine whether each pair of functions is equivalent.

\displaystyle h(x) = (x -4)(x + 7)(x + 4) and \displaystyle d(x) = (x + 7)(x^2 -16)

Buy to View
Q2c

Determine whether each pair of functions is equivalent.

\displaystyle a(t) = (3t + 1)^3 and \displaystyle b(t) = 27t^3 + 27t^2 + 9t -1

Buy to View
Q2d

If you multiply a linear polynomial by a quadratic one, what is the degree of the product polynomial? Justify your answer.

Buy to View
Q3

The sum of the ages of Pam, Dion, and their three children, in years, is 5x - 99, where x is Dion’s age. Pam is five years younger than Dion. What is the sum of the ages of their children?

Buy to View
Q4

Expand and simplify.

\displaystyle 2(x-5)(3x -4)

Buy to View
Q5a

Expand and simplify.

\displaystyle (3x -1)^3

Buy to View
Q5b

Expand and simplify.

\displaystyle 2(x^2 -3x +4)(-x^2+3x -4)

Buy to View
Q5c

Expand and simplify.

\displaystyle (4x -4)(3x- 5) - (2x -3)^2

Buy to View
Q5d

Expand and simplify.

\displaystyle 3(2x -5)-9(4x-5)

Buy to View
Q5e

Expand and simplify.

\displaystyle -(x - y)^3

Buy to View
Q5f

If the length of the rectangle shown is increased by 2 and the width is decreased by 1, determine the change in

a) the perimeter

b) the area

Buy to View
Q6

Factor

\displaystyle x(x -2) -3(x -2)

Buy to View
Q7a

Factor

\displaystyle x^2 -11x + 28

Buy to View
Q7b

Factor

\displaystyle 3a^2 -10a -8

Buy to View
Q7c

Factor

\displaystyle 30x^2-9x -3

Buy to View
Q7d

Factor

\displaystyle 16 - 25x^2

Buy to View
Q7e

Factor

\displaystyle 4(2-a)^2-81

Buy to View
Q7f

Factor

\displaystyle 2n -6m + 5n^2 -15 mn

Buy to View
Q8a

Factor

\displaystyle y^2 + 9 -6y -x^2

Buy to View
Q8b

Factor

\displaystyle y - b - (y -b)^2

Buy to View
Q8c

Factor

\displaystyle 2x^2-8y^2 + 8x + 8

Buy to View
Q8d

Factor

\displaystyle w^2 + wb -aw -ab

Buy to View
Q8e

Factor

\displaystyle ab + b^2 +6a + 6b

Buy to View
Q8f

What is the perimeter of the square shown if the Area is given as \displaystyle 25x^2 + 20x + 4

Buy to View
Q9

The expression 3n^2 - 11n + k can be factored into two linear polynomials with integer coefficients. Determine the possible values of k.

Buy to View
Q10