Chapter 5 Review
Textbook
10 Math Workbook
Chapter
Chapter 5
Section
Chapter 5 Review
Solutions 80 Videos

Use the distributive property to find each binomial product.

(x+7)(x+4)

Q1a

Use the distributive property to find each binomial product.

(x-3)(x-5)

Q1b

Use the distributive property to find each binomial product.

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

Q1c

Use the distributive property to find each binomial product.

(4a-3b)(2a+5b)

Q1d

Expand and simplify.

-(k-3)(k+5)

Q2a

Expand and simplify.

3(m+2n)(m-3n)

Q2b

Expand and simplify.

t(t-3v)(t-4v)

Q2c

Expand and simplify.

(y+2)(y+5)-(y-2)(y-5)

Q2d

Expand and simplify.

2x(x+1)(x-3)

Q2e

Expand and simplify.

4x(2x+1)(x-3)-2x(x+4)(x-5)

Q2f

Write an algebraic expression to represent the area of the figure. Expand and simplify.

Q3

Draw a diagram to illustrate each product.

(x+5)^2

Q4a

Draw a diagram to illustrate each product.

(a+3)^2

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Q4b

Expand and simplify.

(x+4)^2

Q5a

Expand and simplify.

(q+7)^2

Q5b

Expand and simplify.

(r-8)^2

Q5c

Expand and simplify.

(t-5)^2

Q5d

Expand and simplify.

(n+8)^2

Q5e

Expand and simplify.

(p-6)^2

Q5f

Expand and simplify.

(k+11)(k-11)

Q6a

Expand and simplify.

(r-8)(r+8)

Q6b

Expand and simplify.

(s+13)(s-13)

Q6c

Expand and simplify.

(u-5)(u+5)

Q6d

Expand and simplify.

(x-9)(x+9)

Q6e

Expand and simplify.

(t+4)(t-4)

Q6f

Expand and simplify.

(3x+y)^2

Q7a

Expand and simplify.

(4m-n)^2

Q7b

Expand and simplify.

(6p+5q)^2

Q7c

Expand and simplify.

(8p-7q)^2

Q7d

Expand and simplify.

(2g-3h)(2g+3h)

Q7e

Expand and simplify.

-(4r+5s)(4r-5s)

Q7f

Use algebra tiles or a diagram to illustrate the factoring of each polynomial.

x^2+5x

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Q8a

Use algebra tiles or a diagram to illustrate the factoring of each polynomial.

2x^2+6x

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Q8b

Factor.

5x+15y

Q9a

Factor.

13ab-15bc

Q9b

Factor.

t^2+5t

Q9c

Factor.

3m^2-6m^3

Q9d

Factor by grouping.

15x^2+10x+12x+8

Q10a

Factor by grouping.

3m^2-15m-2m+10

Q10b

Factor by grouping.

10p^2+2p-5p-1

Q10c

Factor by grouping.

6x^2-2x-15x+5

Q10d

Factor, if possible.

6m^2-8m+4

Q11a

Factor, if possible.

cx+cy+dx+dy

Q11b

Factor, if possible.

7a^2-13ab-6b^2

Q11c

Factor, if possible.

ghz^2-g^2hz+ghz

Q11d

A rectangle has area given by the expression 14x^2+7x. The length and width can be found by factoring the expression. Find all possible expressions for the length and width.

Q12

Illustrate the factoring of each trinomial using algebra tiles or a diagram.

x^2+8x+15

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Q13a

Illustrate the factoring of each trinomial using algebra tiles or a diagram.

x^2+5x+4

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Q13b

Illustrate the factoring of each trinomial using algebra tiles or a diagram.

x^2+8x+16

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Q13c

Factor.

d^2+11d+30

Q14a

Factor.

q^2+10q+16

Q14b

Factor.

m^2-15m+56

Q14c

Factor.

z^2-8z+12

Q14d

Factor.

r^2+6r-7

Q14e

Factor.

w^2+5w-24

Q14f

Factor.

p^2-7p-18

Q14g

Factor.

e^2-3e-10

Q14h

Factor.

8x^2+18x+7

Q16a

Factor.

15y^2+26y+8

Q16b

Factor.

6c^2-13c+5

Q16c

Factor.

8h^2-10h+3

Q16d

Factor.

4w^2+8w-21

Q16e

Factor.

6p^2-19p-7

Q16f

Factor, if possible.

6x^2+5xy-25y^2

Q17a

Factor, if possible.

12m^2-7mn-12n^2

Q17b

Factor, if possible.

4p^2+7pq+3q^2

Q17c

Factor, if possible.

3k^2-13kv+4v^2

Q17d

Factor, if possible.

7c^2+8cd-5d^2

Q17e

Factor, if possible.

6h^2-13hk+5k^2

Q17f

A rectangle has area defined by 12x^2+17x+6.

a) Factor to find the algebraic expressions for the length and width of the rectangle.

b) If x represents 10 cm, determine the perimeter and the area of the rectangle.

Coming Soon
Q18

Factor.

x^2-16

Q19a

Factor.

y^2-64

Q19b

Factor.

9a^2-16b^2

Q19c

Factor.

25m^2-49n^2

Coming Soon
Q19d

Verify that each trinomial is a perfect square. Then, factor.

x^2+12x+36

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Q20a

Verify that each trinomial is a perfect square. Then, factor.

q^2-10q+25

Coming Soon
Q20b

Verify that each trinomial is a perfect square. Then, factor.

16m^2+24m+9

Coming Soon
Q20c

Verify that each trinomial is a perfect square. Then, factor.

9a^2-30a+25

Coming Soon
Q20d

Verify that each trinomial is a perfect square. Then, factor.

4a^2+28ab+49b^2

64p^2-80pq+25q^2