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Algebra 2nd ESO

Total questions: 17

Worksheet time: 18mins

Name
Class
Date
1.

The leading term of

 P(x)=2x2−8x8−5x+10P\left(x\right)=2x^2-8x^8-5x+10  

a)

 2x62x^6  

b)

 8x88x^8  

c)

 −8x8-8x^8  

d)

 1010  

2.

The leading coefficient of

 Q(x)=−5−x2+3xQ\left(x\right)=-5-x^2+3x  

a)

-1

b)

-5

c)

2

d)

0

3.

The degree of the polynomial

 P(x,y,z)=5x2yz−8xP\left(x,y,z\right)=5x^2yz-8x  

a)

2

b)

-8

c)

5

d)

4

4.

The degree of the third term of

 P(x)=5x7−x2+9P\left(x\right)=5x^7-x^2+9  

a)

7

b)

2

c)

9

d)

0

5.

The constant term of

 R(x,y)=5xy2+2xyR\left(x,y\right)=5xy^2+2xy  

a)

There is no constant term

b)

5

c)

 2xy2xy  

d)

2

6.

 xy2z⋅x2yz5xy^2z\cdot x^2yz^5  

a)

we cannot operate that

b)

 x3y3z6x^3y^3z^6  

c)

 x2y2z5x^2y^2z^5  

d)

 2x3y3z62x^3y^3z^6  

7.

 16xy⋅2xy16xy\cdot2xy  

a)

 18xy18xy  

b)

 88  

c)

 32x2y232x^2y^2  

d)

 18x2y218x^2y^2  

8.

 16x⋅(12x2)16x\cdot\left(\frac{1}{2}x^2\right)  

a)

 8x38x^3  

b)

 9x29x^2  

c)

 32x32x  

d)

 32x332x^3  

9.

If

 P(x)=x−1P\left(x\right)=x-1  then

a)

 P(5)=3P\left(5\right)=3  

b)

 P(0)=2P\left(0\right)=2  

c)

 P(7)=8P\left(7\right)=8  

d)

 P(20)=19P\left(20\right)=19  

10.

If

 P(x)=x2−xP\left(x\right)=x^2-x  then

a)

 P(−3)=6P\left(-3\right)=6  

b)

 P(−3)=−6P\left(-3\right)=-6  

c)

 P(−3)=12P\left(-3\right)=12  

d)

 P(−3)=−12P\left(-3\right)=-12  

11.

 Q(x)=x3−27Q\left(x\right)=x^3-27  equals  00  if

a)

 x=9x=9  

b)

 x=27x=27  

c)

 x=−3x=-3  

d)

 x=3x=3  

12.

 P(x)=x2−2x−3P\left(x\right)=x^2-2x-3  equals  00  if

a)

 x=−1x=-1  

b)

 x=1x=1  

c)

 x=−3x=-3  

d)

 x=0x=0  

13.

 2x+3x−x22x+3x-x^2  

a)

 5x+x25x+x^2  

b)

 −x2+5x-x^2+5x  

c)

 4x44x^4  

d)

 −6x4-6x^4  

14.

 x⋅x+x+x2x\cdot x+x+x^2  

a)

 3x+x23x+x^2  

b)

 2x2+x2x^2+x  

c)

 x2+x3x^2+x^3  

d)

 x5x^5  

15.

 (−xy2z3)4⋅(−xyz)3\left(-xy^2z^3\right)^4\cdot\left(-xyz\right)^3  

a)

 −x7y11z15-x^7y^{11}z^{15}  

b)

 x7y11z15x^7y^{11}z^{15}  

c)

 −x5y11z6-x^5y^{11}z^6  

d)

 x5y11z6x^5y^{11}z^6  

16.

 −7x2(x2−2x+1)-7x^2\left(x^2-2x+1\right)  

a)

 −8x5-8x^5  

b)

 −7x4−14x3−7x2-7x^4-14x^3-7x^2  

c)

 −7x4+49x3−7x2-7x^4+49x^3-7x^2  

d)

 −7x4+14x3−7x2-7x^4+14x^3-7x^2  

17.

 (x+1)⋅(x−1)\left(x+1\right)\cdot\left(x-1\right)  

a)

 x2−2x−1x^2-2x-1  

b)

 x2−1x^2-1  

c)

 (x−1)2\left(x-1\right)^2  

d)

 x2−x+x+1x^2-x+x+1