Mid Chapter Review
Chapter
Chapter 2
Section
Mid Chapter Review
Solutions 20 Videos

Expand and simplify.

\displaystyle 2x(x -6) -3 (2x -5) 

0.31mins
Q1a

Expand and simplify.

\displaystyle (3n -2)^2 + (3n + 2)^2 

0.37mins
Q1b

Expand and simplify.

\displaystyle 3x(2x- 1)-4x(3x + 2) - (-x^2 +4x) 

0.52mins
Q1c

Expand and simplify.

\displaystyle -2(3a +b)(3a - b) 

0.34mins
Q1d

The diagram below represents a polynomial multiplication. Which two polynomials are being multiplied and what is the product? 1.52mins
Q2

Write a simplified expression to represent the area of the triangle shown. 0.55mins
Q3

A rectangle has dimensions 2x + 1 and 3x - 2, where x > 0. Determine the increase in its area if each dimension is increased by 1.

1.55mins
Q4

Factor

\displaystyle -8x^2 + 4x 

0.35mins
Q5a

Factor

\displaystyle 3x^2-6x + 9 

0.27mins
Q5b

Factor

\displaystyle 5m^2 - 10m -5 

0.22mins
Q5c

Factor

\displaystyle 3x(2x -1) + 5(2x - 1) 

0.14mins
Q5d

The tiles shown represent the terms of a polynomial. Identify the polynomial and the common factor of its terms. 0.43mins
Q6

Consider the binomials 2x + 4 and 3x + 6. The greatest common factor of the first pair of terms is 2 and of the second pair is 3.

a) Determine the product of the polynomials.

b) Is the greatest common factor of the terms of their product equal to the product of 2 and 3?

1.39mins
Q7

The tiles shown represent a polynomial. Identify the polynomial and its factors. 1.20mins
Q8

Factor

\displaystyle x^2+2x - 15 

0.16mins
Q9a

Factor

\displaystyle n^2 -8n + 12 

0.14mins
Q9b

Factor

\displaystyle x^2-12x + 35 

0.13mins
Q9c

Factor

\displaystyle 2a^2 -2a -24 

0.19mins
Q9d

How do you know that (x -4) can't be a factor of x^2 -18x + 6?

If x^2 + bx + c can be factored, then can x^2 -bx+c be factored? Explain and show your work.