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

Use the distributive property to find each binomial product.

(x+7)(x+4)

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Q1a

Use the distributive property to find each binomial product.

(x-3)(x-5)

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Q1b

Use the distributive property to find each binomial product.

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

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Q1c

Use the distributive property to find each binomial product.

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

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Q1d

Expand and simplify.

-(k-3)(k+5)

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Q2a

Expand and simplify.

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

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Q2b

Expand and simplify.

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

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Q2c

Expand and simplify.

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

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Q2d

Expand and simplify.

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

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Q2e

Expand and simplify.

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

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Q2f

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

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Q3

Draw a diagram to illustrate each product.

(x+5)^2

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Q4a

Draw a diagram to illustrate each product.

(a+3)^2

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Q4b

Expand and simplify.

(x+4)^2

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Q5a

Expand and simplify.

(q+7)^2

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Q5b

Expand and simplify.

(r-8)^2

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Q5c

Expand and simplify.

(t-5)^2

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Q5d

Expand and simplify.

(n+8)^2

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Q5e

Expand and simplify.

(p-6)^2

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Q5f

Expand and simplify.

(k+11)(k-11)

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Q6a

Expand and simplify.

(r-8)(r+8)

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Q6b

Expand and simplify.

(s+13)(s-13)

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Q6c

Expand and simplify.

(u-5)(u+5)

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Q6d

Expand and simplify.

(x-9)(x+9)

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Q6e

Expand and simplify.

(t+4)(t-4)

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Q6f

Expand and simplify.

(3x+y)^2

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Q7a

Expand and simplify.

(4m-n)^2

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Q7b

Expand and simplify.

(6p+5q)^2

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Q7c

Expand and simplify.

(8p-7q)^2

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Q7d

Expand and simplify.

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

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Q7e

Expand and simplify.

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

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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

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Q9a

Factor.

13ab-15bc

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Q9b

Factor.

t^2+5t

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Q9c

Factor.

3m^2-6m^3

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Q9d

Factor by grouping.

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

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Q10a

Factor by grouping.

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

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Q10b

Factor by grouping.

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

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Q10c

Factor by grouping.

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

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Q10d

Factor, if possible.

6m^2-8m+4

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Q11a

Factor, if possible.

cx+cy+dx+dy

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Q11b

Factor, if possible.

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

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Q11c

Factor, if possible.

ghz^2-g^2hz+ghz

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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.

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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

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Q14a

Factor.

q^2+10q+16

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Q14b

Factor.

m^2-15m+56

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Q14c

Factor.

z^2-8z+12

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Q14d

Factor.

r^2+6r-7

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Q14e

Factor.

w^2+5w-24

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Q14f

Factor.

p^2-7p-18

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Q14g

Factor.

e^2-3e-10

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Q14h

Factor.

8x^2+18x+7

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Q16a

Factor.

15y^2+26y+8

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Q16b

Factor.

6c^2-13c+5

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Q16c

Factor.

8h^2-10h+3

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Q16d

Factor.

4w^2+8w-21

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Q16e

Factor.

6p^2-19p-7

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Q16f

Factor, if possible.

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

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Q17a

Factor, if possible.

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

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Q17b

Factor, if possible.

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

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Q17c

Factor, if possible.

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

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Q17d

Factor, if possible.

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

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Q17e

Factor, if possible.

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

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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.

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Q18

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

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Q20b

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

16m^2+24m+9

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Q20c

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

9a^2-30a+25

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Q20d

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

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

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Q20e

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

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

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Q20f