Free Printable Reviewer in Math 8

1.

Simplify: $\frac{36y}{72z}$

a)

$\frac{4y}{9z}$

b)

$\frac{y}{2z}$

c)

$\frac{2y}{3z}$

d)

$\frac{18y}{38z}$

2.

Simplify: $\frac{x-y}{y-x}$

a)

$\frac{x-y}{y-x}$

b)

$\frac{1}{-x}$

c)

$-1$

d)

$\frac{-1}{y}$

3.

Simplify: $\frac{b^2-b-6}{b^2+4b+4}$

a)

$\frac{b-6}{b+4}$

b)

$\frac{b+3}{b+2}$

c)

$\frac{b+3}{b+4}$

d)

$\frac{b-3}{b+2}$

4.

Simplify: $\frac{r^3+j^3}{r^2-ry+j^2}$

a)

$\frac{r+j}{r-j}$

b)

$\frac{\left(r^2+rj+j^2\right)}{\left(r-2j\right)}$

c)

$r+j$

d)

$\frac{\left(r+j\right)\left(r^2+rj+j^2\right)}{\left(r-2j\right)\left(r+j\right)}$

5.

Find the product: $\frac{x-4}{x+7}\times\frac{x-3}{x-8}$

a)

$\frac{x^2-7x+12}{x^2-x-56}$

b)

$\frac{x^2-12x+32}{x^2+4x-21}$

c)

$\frac{x^2+7x+12}{x^2-56}$

d)

$\frac{x^2-12x+32}{x^2-21}$

6.

Find the product: $\frac{a+b}{a^3+b^3}\times\frac{a^2-ab+b^2}{a-b}$

a)

$\frac{a+b}{a^2-b^2}$

b)

$\frac{1}{a-b}$

c)

$a+b$

d)

1

7.

Find the quotient: $\frac{a^2-4}{3a}\div\frac{5a^2}{a-2}$

a)

$\frac{5a\left(a+4\right)}{3}$

b)

$\frac{a^3-2a^2-4a+8}{15a^3}$

c)

$\frac{5a^2+20a}{3}$

d)

$\frac{a^3-6a+8}{15a}$

8.

Simplify: $\frac{\frac{m^2-4n^2}{m+2n}}{\frac{1}{m+2n}}$

a)

$\frac{m^2-4n^2}{m^2+4mn+n^2}$

b)

$\frac{m-2n}{m+2n}$

c)

$\frac{m+2n}{m-2n}$

d)

$m^2-4n^2$

9.

Subtract: $\frac{9x+1}{x-2}-\frac{3x-4}{x-2}$

a)

$\frac{6x-3}{x-2}$

b)

$\frac{12x+5}{x-2}$

c)

$\frac{6x+5}{x-2}$

d)

$\frac{12x-3}{x-2}$

10.

Find the sum: $\frac{x}{x+1}+\frac{2x}{x+2}$

a)

$\frac{3x}{2x+3}$

b)

$\frac{3x^2+4x}{\left(x+1\right)\left(x+23\right)}$

c)

$\frac{3x}{\left(x+1\right)\left(x+23\right)}$

d)

$\frac{3x^2+4x}{\left(x+1\right)\left(x+2\right)}$

11.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

Add

a)

A.

b)

B.

c)

C.

d)

D.

16.

Subtract, factor, simplify

a)

A

b)

B

c)

C

d)

D

17.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

18.

$\frac{3b^2-6b}{b^2+2b-3}\cdot\frac{b^2-8b+7}{b-2}$

a)

$\frac{1}{b\left(b-2\right)}$

b)

$\frac{b-3}{3b^2\left(b+6\right)}$

c)

$b-8$

d)

$\frac{3b\left(b-7\right)}{b+3}$

19.

$\frac{x^2+x-6}{x^2+5x+6}$

a)

$\frac{x-8}{x+10}$

b)

$\frac{x+10}{x-8}$

c)

$\frac{x-2}{x+2}$

d)

$\frac{5}{x+3}$

20.

$\frac{40v+48}{35v+42}\cdot\frac{v-7}{3v^2-21v}$

a)

$\frac{v+6}{7v}$

b)

$v-8$

c)

$\frac{8}{21v}$

d)

$\frac{v+4}{4}$

21.

$\frac{7n+42}{6n+24}\div\frac{n^2+3n-18}{6n-18}$

a)

$\frac{7}{n+4}$

b)

$\frac{24}{7n^2}$

c)

$\frac{8n\left(n+2\right)}{n+8}$

d)

$\frac{4}{n-8}$

22.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

23.

Simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

24.

State the EXCLUDED VALUES of the rational expression:

$\frac{3\left(x-5\right)}{\left(x-2\right)\left(x+1\right)}\cdot\frac{x^2-3x+9}{4\left(x-7\right)}$

a)

$x\ne5,\ 6,\ -1$

b)

$x\ne-2,\ 1,\ -7$

c)

$x\ne3,\ 5,\ 9$

d)

$x\ne2,\ -1,\ 7$

25.

Add the rational expressions:

\frac{3x-5}{x+5}+\frac{4x-3}{x+5}

a)

$\frac{x+2}{x+5}$

b)

$\frac{12x-15}{x+5}$

c)

$\frac{7x+8}{x+5}$

d)

$\frac{7x-8}{x+5}$

26.

DIVIDE the rational expressions:

\frac{4x^2}{5x^4}\div\frac{2x^5}{3x^{10}}

a)

$\frac{6x^3}{5}$

b)

$\frac{2}{5x^7}$

c)

$\frac{5x^3}{6}$

d)

$\frac{6x^9}{5}$

27.

DIVIDE the rational expressions:

\frac{1}{x-7}\div\frac{x+5}{x^2-4x-21}

a)

$\frac{x+3}{x+5}$

b)

$\frac{x-7}{x+3}$

c)

$\frac{x+6}{5}$

d)

$\frac{x+1}{x-7}$

28.

Simplify

a)

A.4x³/(x+2)

b)

B.4x³/(x+10)

c)

C.2x³/(5x+1)

d)

D. 2x³/(x+5)

29.

Multiply

a)

A.

b)

B.

c)

C.

d)

D.

30.

$\frac{3b^2-6b}{b^2+2b-3}\cdot\frac{b^2-8b+7}{b-2}$

a)

$\frac{1}{b\left(b-2\right)}$

b)

$\frac{b-3}{3b^2\left(b+6\right)}$

c)

$b-8$

d)

$\frac{3b\left(b-7\right)}{b+3}$

31.

$\frac{x^2+x-6}{x^2+5x+6}$

a)

$\frac{x-8}{x+10}$

b)

$\frac{x+10}{x-8}$

c)

$\frac{x-2}{x+2}$

d)

$\frac{5}{x+3}$

32.

$\frac{7n+42}{6n+24}\div\frac{n^2+3n-18}{6n-18}$

a)

$\frac{7}{n+4}$

b)

$\frac{24}{7n^2}$

c)

$\frac{8n\left(n+2\right)}{n+8}$

d)

$\frac{4}{n-8}$

33.

Add the rational expressions:

\frac{3x-5}{x+5}+\frac{4x-3}{x+5}

a)

$\frac{x+2}{x+5}$

b)

$\frac{12x-15}{x+5}$

c)

$\frac{7x+8}{x+5}$

d)

$\frac{7x-8}{x+5}$

34.

DIVIDE the rational expressions:

\frac{1}{x-7}\div\frac{x+5}{x^2-4x-21}

a)

$\frac{x+3}{x+5}$

b)

$\frac{x-7}{x+3}$

c)

$\frac{x+6}{5}$

d)

$\frac{x+1}{x-7}$

35.

Simplify and state excluded values when necessary.

a)

A

b)

B

c)

C

d)

D

36.

Simplify and state excluded values when necessary.

a)

A

b)

B

c)

C

d)

D

37.

Solve for x

a)

4

b)

2

c)

-2

d)

-4

38.

Find the excluded value(s). $\frac{x-5}{x^2-10x+25}$

a)

v = 5

b)

v = 10

c)

v = -25

d)

v = -5

39.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

40.

$\frac{x+3}{x-1}+\frac{x-11}{\left(x-1\right)\left(x+5\right)}$

a)

$\frac{x^2+4x-5}{x^2+9x+4}$

b)

$\frac{x^2+9x+4}{\left(x+5\right)\left(x-1\right)}$

c)

$\frac{2x-8}{x^2+5x-6}$

d)

$\frac{2x-8}{3x+3}$

41.

$\frac{x-5}{x+8}-\frac{x}{x-2}$

a)

$\frac{-15x+10}{\left(x+8\right)\left(x-2\right)}$

b)

$\frac{2x^2+x+10}{\left(x+8\right)\left(x-2\right)}$

c)

$\frac{2x-5}{2x+6}$

d)

$-\frac{1}{2}$

42.

$\frac{x+3}{10x+20}\cdot\frac{x+2}{x^2+4x+3}$

a)

$\frac{x^2+6}{x^2+40x+60}$

b)

$\frac{2x+5}{x^2+14x+23}$

c)

$\frac{1}{10x+1}$

d)

$\frac{1}{10\left(x+1\right)}$

43.

$\frac{9x+18}{x^2-2x-8}\cdot\frac{3x-12}{6x}$

a)

$\frac{9}{2x}$

b)

$\frac{27x}{6x}$

c)

$\frac{12x+6}{x^2+4x-8}$

d)

$\frac{6x-30}{x^2-8x-8}$

44.

$\frac{x^2-5x+4}{x^2}\div\frac{x-1}{x}$

a)

$\frac{x-4}{x^3}$

b)

$-4$

c)

$\frac{x-4}{x}$

d)

$\frac{x\left(x-4\right)}{x^2}$

45.

$\frac{x^2-5x-6}{5x+15}\div\frac{x^2-3x-4}{7x+21}$

a)

$\frac{7x-6}{5x-4}$

b)

$\frac{7\left(x+2\right)\left(x+3\right)}{5\left(x-4\right)}$

c)

$\frac{\left(x-6\right)\left(x-4\right)\left(x+1\right)^2}{35\left(x+3\right)^2}$

d)

$\frac{7\left(x-6\right)}{5\left(x-4\right)}$

46.

$Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$

a)

$\frac{x-1}{x+7}$

b)

$\frac{x+1}{x+7}$

c)

$\frac{x-1}{x-7}$

d)

$\frac{x+1}{x-7}$

47.

$Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}$

a)

$\frac{x}{x+3}$

b)

$\frac{x}{x-3}$

c)

$\frac{x+6}{x-3}$

d)

$\frac{x}{x+6}$

48.

$Simplify:\ \ \frac{x^2+7x+10}{x^2-4}$

a)

$\frac{x-5}{x+2}$

b)

$\frac{x-5}{x-2}$

c)

$\frac{x+5}{x+2}$

d)

$\frac{x+5}{x-2}$

49.

$Simplify:\ \ \frac{x^2-25}{x^2-6x+5}$

a)

$\frac{x+5}{x-1}$

b)

$\frac{x-5}{x-1}$

c)

$\frac{x+5}{x+1}$

d)

$\frac{x-5}{x+1}$

50.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

51.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

52.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

53.

Simplify.

a)

A

b)

B

c)

C

d)

D

54.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

55.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

56.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

57.

Divide

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

58.

How do we find the restrictions of a rational expression?

a)

We set the numerator equal to zero and solve for the variable

b)

We set the denominator equal to zero and solve for the variable

c)

We plug zero into the numerator and simplify

d)

We plug zero into the denominator and simplify

59.

What are the restrictions of: $\frac{c-5}{c+5}$

a)

$c\ne5$

b)

$c\ne-5$

c)

$c\ne5$ and $c\ne-5$

d)

(-5, 0)

60.

Write this product in simplest form:
$\frac{6a^2b}{15c^3}\cdot\frac{5c}{4a}$

a)

$\frac{30a^2bc}{60ac^3}$

b)

$\frac{a^2bc}{2ac^3}$

c)

$\frac{30a^2bc}{60ac^3}$

d)

$\frac{ab}{2c^2}$

61.

What are the restrictions of: $\frac{8x}{\left(x+4\right)\left(x-5\right)}$

(Pick all that apply!)

a)

$x\ne5$

b)

$x\ne-5$

c)

$x\ne0$

d)

$x\ne4$

e)

$x\ne-4$

62.

Write the following sum in simplest form:

$\frac{9x}{21}+\frac{x+7}{7}$

a)

$12x$

b)

$\frac{12x+7}{21}$

c)

$\frac{12x+21}{21}$

d)

$\frac{84x+147}{147}$

63.

Write the following quotient in simplest form:

$\frac{8\left(p-1\right)}{p+3}\div\frac{p-1}{p+3}$

a)

$8$

b)

$\frac{8p-1}{p+3}$

c)

$\frac{8\left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}$

d)

$\frac{8\left(p-1\right)\left(p+3\right)\ +\ \left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}$

64.

What are the restrictions of: $\frac{19}{8u\left(u+2\right)}$

(Pick all that apply!)

a)

$u\ \ne0$

b)

$u\ \ne2$

c)

$u\ \ne-2$

d)

$u\ne8$

e)

$u\ne-8$

65.

Write the following difference in simplest form:

$\frac{a}{a+3}-\frac{2a}{3}$

a)

$\frac{-2a^2+9a}{3\left(a+3\right)}$

b)

$\frac{2a^2+9a}{3\left(a+3\right)}$

c)

$\frac{-2a^2-3a}{3\left(a+3\right)}$

d)

$\frac{\left(a-a^2\right)}{3\left(a+3\right)}$

66.

Write this product in simplest form:

$\frac{h^2+3h}{2}\cdot\frac{4}{h+3}$

a)

$\frac{4\left(h^2+3h\right)}{2\left(h+3\right)}$

b)

$\frac{2h^2+3h}{h+3}$

c)

$2h$

d)

$\frac{2\left(h^2+3h\right)}{h+3}$

67.

Write the following quotient in simplest form:

$\frac{14}{k+6}\div\frac{4}{k+4}$

a)

$\frac{7k+4}{2k+6}$

b)

$\frac{56}{\left(k+6\right)\left(k+4\right)}$

c)

$\frac{14\left(k+4\right)\ +\ 4\left(k+6\right)}{\left(k+6\right)\left(k+4\right)}$

d)

$\frac{7\left(k+4\right)}{2\left(k+6\right)}$

68.

Write the following sum in simplest form:

$\frac{4}{m+1}+\frac{8}{m}$

a)

$\frac{12m+8}{m\left(m+1\right)}$

b)

$\frac{13}{m+1}$

c)

$\frac{12m+1}{m^2+1}$

d)

$\frac{12m+1}{m\left(m+1\right)}$

69.

Write the following quotient in simplest form:

$\frac{12}{n}\div\frac{n}{3\left(n-1\right)}$

a)

$\frac{4}{n-1}$

b)

$4\left(n-1\right)$

c)

$\frac{36\left(n-1\right)}{n^2}$

d)

$\frac{36n-1}{n^2}$

70.

What are the restrictions of: $\frac{1}{5y\ -\ 4}$

a)

$y\ne4$

b)

$y\ \ne-4$

c)

$y\ \ne5$

d)

$y\ \ne-5$

e)

$y\ \ne\frac{4}{5}$

71.

Write the following difference in simplest form:

$\frac{\left(j+8\right)}{2}-\frac{j}{6}$

a)

$\frac{\left(2j+24\right)}{6}$

b)

$\frac{\left(j+12\right)}{3}$

c)

$\frac{\left(4j+48\right)}{12}$

d)

$\frac{\left(2j+8\right)}{6}$

e)

$\frac{\left(j+4\right)}{3}$

72.

What are the restrictions of:

$\frac{r}{r+4}-\frac{\left(r+3\right)}{\left(r-3\right)}$

(Pick all that apply!)

a)

$r\ne0$

b)

$r\ne4$

c)

$r\ne-4$

d)

$r\ne3$

e)

$r\ne-3$

73.

What are the restrictions of:

$\frac{9}{v}\cdot\frac{12\left(v-2\right)}{v^2-16}$

(Pick all that apply!)

a)

$v\ne0$

b)

$v\ne4$

c)

$v\ne-4$

d)

$v\ne2$

e)

$v\ne16$

74.

Simplify

$\frac{2}{x+4}+\frac{x}{x+4}$

a)

$\frac{2x}{x+4}$

b)

$\frac{x+2}{x+4}$

c)

$\frac{1}{2}$

d)

$\frac{x+1}{x+2}$

e)

$\frac{2}{x+8}$

75.

Simplify

$\frac{5}{3x}+\frac{x+1}{x}$

a)

$\frac{x+6}{4x}$

b)

$8$

c)

$\frac{5x+1}{3x^2}$

d)

$\frac{3x+8}{3x}$

76.

Simplify

$\frac{2x+11}{x+6}-\frac{x+9}{x+6}$

a)

$\frac{3x+20}{x+6}$

b)

$\frac{1}{3}$

c)

$\frac{x+2}{x+6}$

d)

$\frac{x+1}{x+3}$

77.

Simplify

$\frac{5}{x}-\frac{2x}{3}$

a)

$\frac{-2x^2+15}{3x}$

b)

$\frac{2x+5}{x+3}$

c)

$\frac{10x}{3x}$

d)

$\frac{3x}{x-3}$

78.

Simplify

$\frac{3x+6}{7x-7}\cdot\frac{14x-14}{5x+10}$

a)

$\frac{17x-8}{12x+3}$

b)

$\frac{42x-84}{35x-70}$

c)

$\frac{6}{5}$

d)

$\frac{-11x+20}{2x-17}$

79.

Simplify

$\frac{x^2-3x-10}{x^2+4x+4}\cdot\frac{x^2+7x+10}{x^2-25}$

a)

$1$

b)

$\frac{2x^2+4x}{2x^2+4x-21}$

c)

$0$

d)

$\frac{-10x-20}{4x+29}$

80.

Simplify

$\frac{3x-12}{x+5}\div\frac{2x-8}{x+6}$

a)

$\frac{6\left(x-4\right)^2}{\left(x+5\right)\left(x+6\right)}$

b)

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

c)

$\frac{3\left(x+6\right)}{2\left(x+5\right)}$

d)

$\frac{5x-20}{2x+11}$

81.

Simplify

$\frac{x^2-x-2}{x^2+4x-5}\div\frac{x-2}{5x+25}$

a)

$\frac{\left(x-2\right)^2\left(x+1\right)}{5\left(x+5\right)^2\left(x-1\right)}$

b)

$\frac{5\left(x+1\right)}{x-1}$

c)

$\frac{\left(x+2\right)\left(x-2\right)}{\left(x+5\right)\left(x+4\right)}$

d)

$\frac{x\left(x-2\right)}{\left(x-6\right)\left(x+5\right)}$

82.

Simplify. State any restrictions on the variables $\frac{x^2-5x-24}{x^2-9}$

a)

$\frac{-5x-24}{-9}$ , $x\ne9$

b)

$\frac{\left(x-8\right)}{\left(x-3\right)},\ x\ne-3,\ 3,\ 8$

c)

$\frac{24}{9},\ x\ne-3,\ 3$

d)

$\frac{\left(x-8\right)}{\left(x-3\right)},\ x\ne-3,\ 3$

83.

$\frac{\left(6x^3-6x^2\right)}{\left(x^4+5x^3\right)}\div\frac{\left(3x^2-15x+12\right)}{\left(2x^2+2x-40\right)}$ Select each equivalent expression.

a)

$\frac{\left(6x^3-6x^2\right)}{\left(x^4+5x^3\right)}\cdot\frac{\left(2x^2+2x-40\right)}{\left(3x^2-15x+12\right)}$

b)

$\frac{6x^2\left(x-1\right)}{x^3\left(x+5\right)}\cdot\frac{\left(x+8\right)\left(x-10\right)}{\left(x-12\right)\left(x-3\right)}$

c)

$\frac{6x^2\left(x-1\right)}{x^3\left(x+5\right)}\cdot\frac{2\left(x+5\right)\left(x-4\right)}{3\left(x-4\right)\left(x-1\right)}$

d)

$\frac{6x^2\left(x-1\right)}{x^3\left(x+5\right)}\cdot\frac{\left(x-4\right)\left(x+5\right)}{\left(x-4\right)\left(x-1\right)}$

e)

$\frac{4}{x}$

84.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

85.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

86.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

87.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

88.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

89.

What is the rate of change?

a)

1/2

b)

2

c)

7

d)

3

90.

What is the rate of change?

a)

5

b)

1/5

c)

15

d)

10

91.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

92.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

93.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

94.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

95.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

96.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

97.

Simplify $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$

a)

$\frac{n-3}{n-8}$

b)

$\frac{n-3}{\left(n+5\right)\left(n-8\right)}$

c)

$\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$

d)

$\frac{n^2+2n-14}{2n-3}$

98.

$\frac{2a-20}{6a}\times\frac{a-9}{a-10}$ Simplify

a)

$\frac{2a^2-180}{6a^2-60a}$

b)

$\frac{2\left(a-9\right)}{6a}$

c)

$\frac{a-9}{3a}$

d)

$\frac{3a-29}{7a-10}$

99.

$\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$ Simplify

a)

$\frac{m-5}{m-2}$

b)

$\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$

c)

$\frac{m^2+2m-32}{m^2+14m+49}$

d)

$\frac{-5}{2m^2}$

100.

$\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$

a)

$\frac{2}{m-64m^2}$

b)

$\frac{16m^2}{8m^2\left(m-8\right)}$

c)

$\frac{2}{64m^4\left(m-8\right)}$

d)

$\frac{2}{m-8}$

101.

Simplify $\frac{7n}{3n-18}+\frac{n+3}{3}$

a)

$\frac{8n+3}{3n-15}$

b)

$\frac{n^2+4n-18}{3\left(n-6\right)}$

c)

$\frac{7\left(n+3\right)}{3\left(3n-18\right)}$

d)

$\frac{7n+n+3}{3n-18+3}$

102.

Simplify $\frac{8n}{n-3}+\frac{3n}{5n-6}$

a)

$\frac{43n^2-9}{\left(5n-6\right)\left(n-3\right)}$

b)

$\frac{11n}{6n-9}$

c)

$\frac{43n^2-57n}{\left(n-3\right)\left(5n-6\right)}$

d)

$\frac{8n+3n}{n-3+5n-6}$

103.

$\frac{4x}{x-5}-\frac{3}{x-6}$ Simplify

a)

$\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$

b)

$\frac{4x-3}{2x+1}$

c)

$\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}$

d)

$\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}$

104.

$2-\frac{7}{x^2+x-30}$ Simplify

a)

$\frac{2x^2-2x-67}{\left(x-6\right)\left(x+5\right)}$

b)

$\frac{-5}{\left(x+6\right)\left(x-5\right)}$

c)

$\frac{-5}{x^2+x-30}$

d)

$\frac{2x^2+2x-67}{\left(x+6\right)\left(x-5\right)}$

105.

$\frac{1}{5n^2}+\frac{2}{5n}=\frac{n+5}{n^2}$ Solve. Check for extraneous solutions.

a)

$n\ =\ 4$

b)

$n\ =\ 8$

c)

$n\ =\ 2$

d)

$n=-8$

106.

$\frac{1}{6x}+\frac{1}{6}=\frac{1}{2x}$ Solve. Check for extraneous solutions.

a)

$x\ =\ 2$

b)

$x\ =\ 3$

c)

$x\ =\ 0$

d)

$x\ =\ 1$

107.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

108.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

109.

Simplify

a)

A.(x+7)/(x-4)

b)

B.-3/4

c)

C.(x+3)/(x+4)

d)

D.(x+3)/(x-4)

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

112.

Given the sum

$\frac{3x}{x+2}+\frac{6x+1}{\left(x+2\right)\left(x-5\right)}$

What is the LCD (lowest common denominator)?

a)

$\left(x+2\right)\left(x+2\right)\left(x-5\right)$

b)

$\left(x+2\right)\left(x-5\right)$

c)

$x-5$

d)

$x+2$

113.

Given

\frac{\left(x+1\right)\left(x-7\right)}{\left(x-4\right)\left(x+3\right)}

What values will make the rational expression UNDEFINED?

a)

$x=-1,\ x=7$

b)

$x=-1,\ x=4,\ x=7,\ x=-3$

c)

None

d)

$x=4\ ,\ x=-3$

114.

$\frac{2x+3}{x+7}-\frac{x-4}{x+7}=$

a)

$1$

b)

$\frac{x-1}{x+7}$

c)

$\frac{1}{x+7}$

d)

$\frac{2x^2-5x-12}{x+7}$

115.

$\frac{x^2+10x+25}{x^2-9}\cdot\frac{x^2+3x}{x+5}=$

a)

$\frac{x\left(x+5\right)}{x+3}$

b)

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

c)

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

d)

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

116.

$\frac{30}{x^2+4x-12}\div\frac{6x}{x-2}=$

a)

$\frac{5}{x\left(x+6\right)}$

b)

$\frac{5}{x\left(x-6\right)}$

c)

$\frac{180x}{\left(x+6\right)\left(x-2\right)}$

d)

$\frac{5}{x+6}$

117.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

18 days

b)

20 days

c)

22 days

d)

24 days

Reviewer in Math 8

Total questions: 117

Worksheet time: 29hrs 15mins

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