Free Printable Algebra 1 Unit 7 Lesson 1

1.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

2.

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

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

3.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

4.

Subtract

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

5.

Subtract

(x⁵ + x³) - (6x - x³ + 6x⁵)

a)

-5x⁵ + 2x³ - 6x

b)

7x⁵ - 6x

c)

-5x³ + 2x² - 6x

d)

-5x⁵ - 6x

6.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

7.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

8.

Challenge: $Simplify\ \ -6h^2\ +2j\ -\ 14h^2-\ h^2\ +\ 15j$

a)

$-20h^2+\ 13j$

b)

$20h^2\ +\ 17j$

c)

$-21h^2\ +\ 17j$

d)

$-21h^4\ +\ 17j$

9.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

10.

Find the product:

$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

11.

Find the product: $\left(n\ -\ 5\right)\left(n\ -\ 1\right)$

a)

n² - 5n + 5

b)

n² - 6n + 5

c)

n²+ 5

d)

n² + 6n + 5

12.

Find the product:

$\left(2x-7\right)\left(x+2\right)$

a)

$2x^2-5x+4$

b)

$2x^2+3x+14$

c)

$2x^2-3x-14$

d)

$x^2+3x-14$

13.

What is the area of this rectangle?

a)

48

b)

$8x^2+14x+6$

c)

$8x^2+x+5$

d)

$2x^2+6x+8$

14.

Find the product:

$\left(x\ +\ 4\right)^2$

a)

x²+16

b)

x²-16

c)

x²+8x+16

d)

x²+8x-16

15.

Find the product.

$\left(p\ -\ 8\right)^2$

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

16.

Find the product:

$\left(7r\ -\ 6\right)\left(7r\ +\ 6\right)$

a)

49r²+ 36

b)

49r²- 36

c)

49r²+ 84r + 36

d)

49r²+ 42r + 36

17.

Find the product.

(5x + 2) (x²- 3x +6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

18.

Challenge: The expression $\left(4c-3d\right)\left(3c+d\right)$ is equivalent to:

a)

$12c^2-13cd-3d^2$

b)

$12c^2-13cd+3d^2$

c)

$12c^2-5cd-3d^2$

d)

$12c^2-5cd+3d^2$

e)

$12c^2-3d^2$

19.

Find a simplified expression for the area of the shaded region.

a)

2x²+ 2x + 13

b)

10x + 5

c)

10x + 13

d)

2x²+ 13

20.

Challenge: Find the volume of this prism.

(Hint: Volume is L*W*H)

a)

-8x + 12

b)

5x² - 3x - 14

c)

4x³ - 10x² - 2x + 12

d)

5x - 5

Algebra 1 Unit 7 Lesson 1 - 3 Practice

Total questions: 20

Worksheet time: 5hrs 0mins

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