Free Printable Lesson 7-2 Homework Set INT ALG

1.

Multiply the two binomials together: (x+1)(x+3).

a)

2x+4

b)

$2x^2+3x+3$

c)

$x^2+3$

d)

$x^2+4x+3$

2.

Multiply the two binomials together: (a+8)(a-3).

3.

Multiply the two binomials together: (x-7)(x-2).

4.

Multiply the two binomials together: (5s+6)(s-2).

5.

Multiply the two binomials together: (3k-1)(4k+9).

6.

Write a polynomial that represents the area of the shaded region in the diagram.

a)

$2x^2+x-45$

b)

3x-4

c)

6x-8

d)

$2x^2-45$

7.

Write a polynomial that represents the area of the shaded region in the diagram. INSTEAD OF P USE X in your expression.

8.

Find the product: $(d+6)(2d^2-d+7)$ .

a)

$2d^3+11d^2+d+42$

b)

$2d^3+12d^2+2d+38$

c)

$2d^3+10d^2+d+40$

d)

$2d^3+9d^2+d+45$

9.

You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown. Write a polynomial that represents the combined area of the photo and the frame.

10.

3x(2x² + 9x + 6)

a)

6x³ + 27x² + 18x

b)

6x³ + 18x² + 9

c)

-6x² + 27x + 9x

d)

6x² + 27x² + 18

11.

3a(5a² + 8a + 2)

a)

15a³ + 24a² + 6a

b)

10a³ + 24a + 6

c)

8a² +24a + 5

d)

8a³ + 11a² +5a

12.

Simplify the expression

$-3\left(2x-8\right)+24\ -\ 7x$

13.

$\left(n+8\right)\left(6n^2-n-4\right)$

a)

$6n^3+49n^2-12n-32$

b)

$6n^3+47n^2+12n+32$

c)

$6n^3+47n^2-12n-32$

14.

$\left(3n-4\right)\left(4n^2+2n+3\right)$

a)

$12n^3-9n^2-2n-12$

b)

$12n^3-10n^2+n-12$

c)

$12n^3+10^2-17n\ -12$

15.

Find the volume of the rectangular prism with length ( x + 2) width ( x - 4) and height ( 2x + 1). (HINT: V = lwh)

a)

x² -8x

b)

x² -2x -8

c)

2x³-3x² -18x-8

d)

2x³-8

Lesson 7-2 Homework Set INT ALG

Total questions: 15

Worksheet time: 1hrs 1mins

Similar Resources on Wayground