Unit 6.1 Review (Day 1)

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Mathematics

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9th Grade

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Easy

Anna Popowski

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5 Slides • 57 Questions

Today you will be working through practice questions. Some of the questions require you to work on a whiteboard, some questions you can complete in your head. Once you have completed the assignment, make sure all other work from Unit 5.1 has been completed.

Unit 5.1 Review

(Day 1)

Part 1: Standard Form of a Polynomial

Multiple Choice

$13x^2\ -\ 5\ +\ 6x^{3\ }-\ x$

Which answer represents the polynomial in standard form?

$-5\ -\ x\ +\ 13x^2\ +\ 6x^3$

$6x^{3\ }+\ 13x^2\ -\ 5\ -\ x$

$13x^2\ -\ 5\ +\ 6x^{3\ }-x$

$6x^{3\ }+\ 13x^2\ -x\ -\ 5$

Multiple Choice

What is the leading coefficient?

(*Hint: Remember to write the polynomial in standard form first)

5x²+3x³-2x+1

-2

Multiple Choice

Which polynomial is written in standard form?

-3x + 8x² + 9x³ - 11

9x³ + 8x²- 3x - 11

8x²+ 9x³ -11 - 3x

-11 - 3x + 8x² + 9x³

Part 2: Greatest Common Factors

Multiple Choice

What is the greatest common factor of 10 and 25?

_¹

Multiple Choice

What is the greatest common factor of 18k and 15k³

3k²

3k³

Multiple Choice

What is the greatest common factor of

3x(x + 2) - 7(x + 2)

(x + 2)

(3x - 7)

3x² - x -14

Part 3: Addition, Subtraction and Multiplication

Multiple Choice

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

x_² + 6x + 8

2x²+ 5x - 7

-x²-6x + 8

-2x² + 11x - 4

Multiple Choice

(4x + 7)(3x + 5)

12x + 41 + 35

12x² + 20x + 35

12x² + 41x + 35

12x + 20 + 35

Multiple Choice

(x+4)²

x²+16

x²-16

x²+8x+16

x²+8x-16

Multiple Choice

(x-3)(x²+2x+7)

x³-x²+x-21

x³+5x+13x-21

x³-3x²+7x-21

x²+2x-3

Multiple Choice

Add: (3x² + 2x + 1) + (2x² - 4x - 5) + (3x - 1)

5x² + 6x - 7

8x²- 3x - 5

5x²+ x - 5

6x² + 8x + 5

Multiple Choice

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

4x³ + 1x² – 3x + 1

2x³ + 1x² - 5x + 9

6x³ + 1x - 1x² - 3

3x⁵ +1x - 1x⁵ - 3x

Multiple Choice

Simplify the expression.
2x(-2x - 3)

-4x - 3

x² - 3

-4x² - 6x

-4x - 6

Multiple Choice

(2x-9)(2x+4)

$4x^2+4x+4$

$2x^2-9x+4$

$4x^2-10x-36$

$4x^2-26x-36$

Multiple Choice

$\left(m+5\right)\left(m^2+4m-8\right)$

$m^3+4m^2-8m+5m^2+20m-40$

$m^2+40m+m^3$

$m^3+9m^2+12m-40$

Multiple Choice

4a(5a²- a + 4)

20a³- 4a²+ 16a

20a²- 5a + 8a

20a²+ 4a²+ 16a

20a³+3a² + 16a

Multiple Choice

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

3y³+ 7y²- 4y + 3

4y² + 3y³ - y + 3

-y⁴ + 2y³-y - 4

4y³+ 3y²-3y + 1

Multiple Choice

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

4x- 12

4x- 1

8x- 2

4x²- 2x - 12

Multiple Choice

Find the area of the rectangle.

8x² + 14x + 6

12x + 10

8x² + 6

6x² + 14x + 6

Part 4: Factor each polynomial completely

Multiple Choice

Factor out the GCF:
12x + 6

6(2x + 1)

3(4x + 2)

6x(2x + 1)

2(6x + 3)

Multiple Choice

Factor out the GCF:
10x³ - 15x

x(10x² - 15)

5x(2x² - 3)

5(2x³ - 3x)

5x²(10x - 3)

Multiple Choice

Factor
k²+7k+10

(k+2)(k+5)

(k-2)(k-5)

(k+10)(k+4)

(k+2)(k-5)

Multiple Choice

factor:x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

Multiple Choice

Factor Completely:
3x² + 18x +15

3(x² + 6x + 5)

(x + 5)(x + 1)

3(x + 5)(x + 1)

Prime

Multiple Choice

Factor:
x²+ 7x - 30

(x + 10)(x - 7)

(x - 10)(x + 3)

(x + 10)(x + 3)

(x + 10)(x - 3)

Multiple Choice

Factor x²-2x-15

(x+5)(x-3)

(x-5)(x-3)

(x-5)(x+3)

(x+5)(x+3)

Multiple Choice

What are the factors of
25x² - 81?

(5x - 9)(5x + 9)

(5x - 9)(5x - 9)

(5x + 9)(5x + 9)

Cannot be factored

Multiple Choice

Factor completely:
3x² + 5x - 12

(3x + 4)(x-3)

(3x - 4)(x + 3)

(3x + 3)(x -4)

(3x - 3)(x + 4)

Multiple Choice

Factor by grouping:
3x³-x²+6x-2

(x²+2)(3x+1)

(x²+2)(3x-1)

(3x³+6x)(x²-2)

none of the aboe

Multiple Choice

Factor completely: 2x²+22x+60

(2x+10)(x+6)

(x+5)(x+6)

2(x+1)(x+30)

2(x+5)(x+6)

Multiple Choice

Factor:
x² - 9

(x + 3)(x - 3)

(x + 3)²

(x - 3)²

(x+3)(x+3)

Multiple Choice

20x³-25x²+4x-5

(5x²-5)(4x+1)

5(x²-1)(4x+5)

(5x²+1)(4x-5)

(5x²+1)(4x-1)

Multiple Choice

30x³+15x²-18x-9

(5x²-3)(6x+1)

(5x²-3)(6x+3)

3(5x²+3)(2x-1)

3(5x²-3)(2x+1)

Multiple Choice

Factor by grouping
x³ - 4x² -4x + 16

(x+4)(x+2)

(x-4)(x² -4)

(x+4)(x² -4)

(x-4)(x-2)

Multiple Choice

Factor:

6x² + 2x – 21x – 7

(2x +7)(3x – 1)

(1x – 1)(6x+7)

(2x – 7)(3x+1)

(6x – 7)(1x+1)

Multiple Choice

Factor

3a² + a + 3a + 1

(7a-10)(a-8)

Not factorable

(3a+1)(a+1)

(3a-1)(a-1)

Multiple Choice

Factor: 6x² + 21x + 4x + 14

(3x - 2)(2x - 7)

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

(3x + 2)(2x + 7)

6(x + 2)(x - 7)

Multiple Choice

Factor by grouping
x³ - 4x² -4x + 16

(x+4)(x+2)

(x-4)(x² -4)

(x+4)(x² -4)

(x-4)(x-2)

Multiple Choice

Factor x² + 7x + 12

(x + 2)(x + 10)

(x + 3)(x + 4)

(x + 4)(x + 5)

(x + 4)(x + 6)

Multiple Choice

Factor:
x²+ 7x - 30

(x + 10)(x - 7)

(x - 10)(x + 3)

(x + 10)(x + 3)

(x + 10)(x - 3)

Multiple Choice

Factor
x²+ 9x - 36

(x + 12)(x - 3)

(x + 9)(x - 4)

(x - 12)(x + 3)

(x - 9)(x - 4)

Multiple Choice

Factor
n² + 5n - 6

(n - 2)(n - 3)

(n - 1)(n + 6)

(n + 1)(n - 6)

(n + 2)(n - 3)

Multiple Choice

Factor
a² - a - 12

(a - 4)(a + 3)

(a + 6)(a - 4)

(a - 6)(a + 4)

(a + 4)(a - 3)

Multiple Choice

Factor
r² -16r + 60

(r - 15)(r + 4)

(r - 6)(r + 10)

(r - 6)(r - 10)

(r +30)(r - 2)

Multiple Choice

Factor
x²-16x + 48

(x - 12)(x - 4)

(x + 6)(x - 8)

(x + 12)(x - 4)

(x -16)(x - 3)

Multiple Choice

Factor:
p² - 14p

p(1 - 14)

2p(p - 7)

p²(1-14)

p(p - 14)

Multiple Choice

Factor:
x²-15x + 36

(x - 18)(x + 2)

(x - 12)(x - 3)

(x - 12)(x + 3)

(x + 18)(x - 2)

Multiple Choice

Which is another way of correctly expressing
(x - 3)(x - 3)?

(x² - 3²)

(x² - 3)

(x + 3)(x - 3)

(x - 3)²

Multiple Choice

Factor:
x² - 8x - 128

(x - 16)²

(x - 16)(x + 8)

(x + 16)(x - 8)

(x - 16)(x - 8)

Multiple Choice

x² + 5x + 6

(x+2)(x+3)

(x+1)(x+6)

(x-1)(x+6)

(x-2)(x-3)

Multiple Choice

Factor
n² + 16n + 63

(n-7)(n+4)

(n+7)(n-9)

(n-3)(n-10)

(n+7)(n+9)

Multiple Choice

Factor: x² – 5x – 24

(x - 5)(x + 19)

(x - 8)(x + 3)

(x - 3)(x + 8)

(x - 19)(x + 5)

Multiple Choice

Factor the Trinomial:
x² - 8x + 15

(x + 5) ( x + 3)

(x - 5) (x - 3)

(x + 15) (x - 1)

(x - 7) (x - 8)

Multiple Choice

x²- 16

Prime

( x - 4) ( x + 4)

( x - 8) ( x + 8)

( x - 4) ( x - 4)

Multiple Choice

Factor:
x² - 5x

1(x - 5)

x(x - 5x)

x(x - 5)

x²(1 - 5)

Multiple Choice

Factor
n²-13n+40

(n-5)(n-8)

(n+5)(n-8)

(n-5)(n+8)

(n+6)(n+1)

Multiple Choice

Factor: x² + 2x – 3

(x - 2)(x + 1)

(x + 1)(x - 3)

(x + 2)(x - 1)

(x - 1)(x + 3)

Unit 5.1 Review

(Day 1)

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