Free Printable Chapter 3.7 -3.12

1.

$6^5\times6^9=$

a)

$6^{45}$

b)

$6^4$

c)

$6^{14}$

d)

$6^{13}$

2.

$9^4\times\left(-9\right)^5$

a)

$9^{20}$

b)

$9$

c)

$9^9$

d)

$-9^9$

3.

$7^3\times\left(-7\right)^4$

a)

$7^7$

b)

$7^{12}$

c)

$-7^7$

d)

$-7^{12}$

4.

$a^3a^2+aa^4$

a)

$a^{10}$

b)

0

c)

$a^{25}$

d)

$2a^5$

5.

$\left(a-b\right)^5\left(b-a\right)^3$

a)

$-\left(a-b\right)^8$

b)

$\left(a-b\right)^8$

c)

$\left(b-a\right)^8$

d)

$-\left(a-b\right)^{15}$

6.

$\left(i+j\right)^3\left[\left(i+j\right)^2\right]^3$

a)

$\left(i+j\right)^{15}$

b)

$\left(i+j\right)^{18}$

c)

$\left(i+j\right)^8$

d)

$\left(i+j\right)^9$

7.

$\left(-xy\right)^2-\left(-x^2y\right)^2$

a)

$x^2y^2-x^4y^2$

b)

$-x^2y^2+x^4y^2$

c)

$x^2y^2+x^4y^2$

d)

$-x^2y^2-x^4y^2$

8.

$\left(-x^2y^6z^3\right)^9$

a)

$x^{18}y^{54}z^{27}$

b)

$x^{18}y^{54}z^{27}$

c)

$-x^{11}y^{15}z^{12}$

d)

$-x^{18}y^{54}z^{27}$

9.

$m^9n^3=\left(\ \ \ \ \ \ \ \right)^3$

a)

$nm^3$

b)

$m^6n^0$

c)

$-m^3n$

d)

None of the above

10.

$\left(-2x^2y\right)^2\times3x^3y^4\times\left(-x^2y^6\right)$

a)

$-12x^{24}y^{48}$

b)

$-12x^9y^{12}$

c)

$12x^{24}y^{48}$

d)

$12x^9y^{12}$

11.

$3ab\cdot\left(-\frac{1}{2}a^2b\right)+\frac{3}{4}a\cdot2a^2b^2$

a)

$0$

b)

$3a^3b^2$

c)

$\frac{3}{2}a^6b^4$

d)

$3a^6b^4$

12.

$b\left(a+b\right)-a\left(b-a\right)$

a)

$b^2-a^2$

b)

0

c)

$a^2+b^2$

d)

$2ab+b^2-a^2$

e)

$2ab+b^2+a^2$

13.

$\left(x-1\right)\left(2-x\right)$

a)

$-2+3x-x^2$

b)

$2+3x-x^2$

c)

$2+3x+x^2$

d)

$-2-3x-x^2$

14.

$\left(-x+3y\right)\left(-x-3y\right)$

a)

$-x^2-3y^2$

b)

$-x^2-9y^2$

c)

$x^2-3y^2$

d)

$x^2-9y^2$

15.

$\left(\frac{1}{2}x^2-\frac{1}{3}\right)\left(-\frac{1}{2}x^2-\frac{1}{3}\right)$

a)

0

b)

$-\frac{1}{9}+\frac{1}{4}x^2$

c)

$-\frac{1}{9}-\frac{1}{4}x^2$

d)

$\frac{1}{9}-\frac{1}{4}x^4$

e)

$-\frac{1}{9}-\frac{1}{4}x^4$

16.

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

a)

$x^2-y^2+4y-4$

b)

$x^2-y^2-4y-4$

c)

$x^2+y^2-4y-4$

d)

$x^2+y^2+4y-4$

17.

$Given\ x+\frac{1}{x}=3,\ then\ x^2+\frac{1}{x^2}=$

a)

7

b)

1

c)

0

d)

9

18.

$\left(-a-2\right)^2$

a)

$a^2-4a+4$

b)

$a^2-4a-4$

c)

$a^2+4a+4$

d)

$a^2-4a+4$

19.

$Given\ x-y=9\ and\ xy=5,\ find\ x^2+y^2$

a)

91

b)

81

c)

86

d)

76

20.

If the side length of a square is increased by 2cm, then the area of the square increases $12cm^2$ , what is the original side length of the square?

a)

4

b)

2

c)

6

d)

8

21.

Given $\left(x-y\right)^2+n=x^2+xy+y^2,\$ then n is

a)

0

b)

xy

c)

2xy

d)

3xy

22.

If $x^2+mx+4\$ is a perfect square, then m is/are

a)

2 or -2

b)

4 or -4

c)

2

d)

-4

23.

Which of the following is correct?

a)

$\left(a+b+c\right)^2=a^2+b^2+c^2$

b)

$\left(a+b-c\right)^2=a^2+b^2-c^2$

c)

$\left(a+b-c\right)^2=\left(-a-b+c\right)^2$

d)

$\left(a+b-c\right)^2=\left(a-b+c\right)^2$

24.

To make $\left(x^2-6x+a\right)=\left(x-b\right)^2$ , $a=?\ b=?$

a)

$a=9,\ b=3$

b)

$a=9,\ b=9$

c)

$a=b,\ b=3$

d)

$a=-3,\ b=-2$

25.

$x^2-25y^2$ Which of the following equals

a)

$\left(x+5y\right)\left(-x+5y\right)$

b)

$\left(-x+5y\right)\left(-x-5y\right)$

c)

$\left(x-y\right)\left(x+25y\right)$

d)

$\left(x-5y\right)\left(5y-x\right)$

Chapter 3.7 -3.12

Total questions: 25

Worksheet time: 13mins

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