Free Printable 7th Grade Unit 2 Review

1.

$48\div8\left(2^4\right)-\left(6-11\right)^2$

(a)

2.

$\frac{13-5\cdot9+8}{35-3^3}$

(a)

3.

$\frac{5}{2}a^3-ab$

If a=4 and b=-7

(a)

4.

$\frac{x^2+xy}{3x-2y}$

If x=-8 and y=-2

(a)

5.

Translate each expression

"4 more than a number"

(a)

6.

"17 subtracted from twice a number"

a)

$n^2-17$

b)

$2\left(n-17\right)$

c)

$17-2n$

d)

$2n-17$

7.

"the sum of 5 and the quotient of a number and -3"

a)

$\frac{n}{-3}+5$

b)

$-3n+5$

c)

$5\left(-3n\right)$

d)

$5\left(\frac{n}{\left(-3\right)}\right)$

8.

"the difference between the height of a cell phone tower, c, and the height of Mary, m.

a)

$m-c$

b)

$c-m$

c)

$\frac{m}{c}$

d)

$\frac{c}{m}$

9.

Simplify each expression

10-15k-2+2k

(a)

10.

Simplify

-8d-10c+17c+d-4c

(a)

11.

4(p+7)

(a)

12.

-5(2y+3)

(a)

13.

-4(n-1)-5n

(a)

14.

7(5a-9)-4(8a-7)

(a)

15.

-16-(8k+17)+3k

(a)

16.

5r-6(r-2s)+18r

(a)

17.

(14m-11)+(-19m+4)

(a)

18.

(-28+17v)-(2v-19)

(a)

19.

Factor each expression

6x-30

(a)

20.

Factor

32w+20

(a)

21.

Factor

9k-28

(a)

22.

27c+3d

(a)

23.

Simplify, then factor

7a-(5a+1)+15

(a)

24.

Simplify, then factor

-4(x+5y)-2(2y-11x)

(a)

25.

$6a^3b+2a^3b$

a)

$12a^3b$

b)

$12a^6b^2$

c)

$8a^3b$

d)

$8a^6b^2$

26.

$9^5\cdot9^3$

a)

$9^8$

b)

$9^{15}$

c)

$81^8$

d)

$81^{15}$

27.

$\left(5m^7n^3\right)\left(-7m^2n^9\right)$

a)

$-2m^9n^{12}$

b)

$-12m^9n^{12}$

c)

$-35m^9n^{12}$

d)

$-35m^{14}n^{27}$

28.

$\frac{\left(-4\right)^{18}}{\left(-4\right)^3}$

a)

$1^6$

b)

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

c)

$\left(-4\right)^6$

d)

$\left(-4\right)^{15}$

29.

$\frac{10w^{12}}{-2w^3}$

a)

$-5w^4$

b)

$-5w^9$

c)

$8w^4$

d)

$8w^9$

30.

$\frac{3r^{14}s^6}{6r^2s}$

a)

$\frac{1}{2}r^{12}s^5$

b)

$\frac{1}{2}r^7s^6$

c)

$-3r^{12}s^5$

d)

$-3r^7s^6$

31.

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

a)

$12x^{16}$

b)

$81x^{16}$

c)

$12x^8$

d)

$81x^8$

32.

$\left(\frac{1}{5}m^3n\right)^2$

a)

$\frac{1}{10}m^6n^2$

b)

$\frac{1}{25}m^6n^2$

c)

$\frac{1}{10}m^9n^2$

d)

$\frac{1}{25}m^9n^2$

33.

$8v^5-5v^2\cdot3v^3$

a)

$-7$

b)

$-7v^5$

c)

$9v^6$

d)

$9v^9$

34.

$\frac{\left(-6c^4d^{10}\right)^2}{4c^2d^5}$

a)

$-3c^6d^{15}$

b)

$-9c^6d^{15}$

c)

$9c^6d^{15}$

d)

$9c^4d^4$

35.

$\frac{-42x^{16}}{2x^4+4x^4}$

a)

$-7x^2$

b)

$-7x^8$

c)

$-7x^4$

d)

$-7x^{12}$

36.

$Find\ the\ quotient\ of\ 18n^4and\ 3n^2$

a)

$54n^{16}$

b)

$54n^{28}$

c)

$6n^7$

d)

$6n^{12}$

37.

What property justifies the statement below?

$\frac{1}{2}\left(4x+10\right)-16=2x+5-16$

a)

Associative

b)

Identity

c)

Inverse

d)

Distributive

38.

$By\ the\ associative\ property,\ 1+\left(k+9\right)\ is\ equivalent\ to\ which\ exression$

a)

(k+9)+1

b)

(1+k)+9

c)

1+(9+k)

d)

k+(1+9)

39.

Which statement is not an example of the commutative property?

a)

-6(x+y)=-6(y+x)

b)

(-3x+4)+0=(4+-3x)+0

c)

7x-(x+y)=(7x-x)+y

d)

-2 x (x-y)=(x-y) x -2

40.

What is the multiplicative identity of -2/5

a)

$1$

b)

$\frac{2}{5}$

c)

$0$

d)

$-\frac{5}{2}$

7th Grade Unit 2 Review

Total questions: 40

Worksheet time: 31mins

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