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G10.Q3.W4.D3-Math

Total questions: 10

Worksheet time: 48mins

Name
Class
Date
1.

Factor completely:

3x2 + 18x +15

a)

3(x2 + 6x + 5)

b)

3(x + 5)(x + 1)

c)

(x + 5)(x + 1)

d)

(x+5)(x-1)

2.

Factor completely:

45x6 +27x5y- 9x4

a)

3x4(15x2+9xy-3)

b)

9x4(5x2+3xy)

c)

3x4(15x2+9xy)

d)

9x4(5x2+3xy-1)

3.

What is the factored form of 4x2-9?

a)

(2x-7)2

b)

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

c)

(2x+7)2

d)

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

4.

What is the factored form of 3x2-13x+12?

a)

(3x+3)(x+4)

b)

(3x-4)(x-3)

c)

(3x-3)(x-4)

d)

(3x+4)(x+3)

5.

Simplify.

 6x+18x2+7x+12\frac{6x+18}{x^2+7x+12}  

a)

 x2+x+6x^2+x+6  

b)

 x2x+6x^2-x+6  

c)

 6(x+4) \frac{6}{(x+4)\ }  

d)

 6(x+3) \frac{6}{(x+3)\ }  

6.

Simplify:

 (2x298)(2x2+18x+28)\frac{(2x^2−98)}{(2x^2+18x+28)}  

a)

 (x7)(x+2)\frac{(x−7)}{(x+2)}  

b)

 (x7)(x2)\frac{(x−7)}{(x−2)}  

c)

 (x+7)(x+2)\frac{\left(x+7\right)}{(x+2)}  

d)

 (x2)(x+7)\frac{\left(x-2\right)}{\left(x+7\right)}  

7.

Solve for w.

 w2+3=w45-\frac{w}{2}+3=\frac{w}{4}-5  

a)

 83\frac{8}{3}  

b)

 323\frac{32}{3}  

c)

 58\frac{5}{8}  

d)

 98-\frac{9}{8}  

8.

Solve for n.

 34n+2n=5154n-\frac{3}{4}n+2n=-5-\frac{15}{4}n  

a)

n = -1

b)

 n=175n=-\frac{17}{5}  

c)

n = 2

d)

no solution

9.

Solve this equation:


  

 3x+24=2x13\frac{3x+2}{4}=\frac{2x-1}{3}  

a)

x = -10

b)

x = 10

c)

x = -9

d)

x = 9

10.

Solve the Simultaneous Equations:

x + y = 3

2x - y = 6

a)

x = 0, y = 3

b)

x = 1, y = 2

c)

x = 3, y = 0

d)

x = 2, y = 1