Free Printable 8-6C ALG Entry Task

1.

Solve for n, $\frac{2n+3}{4}=\frac{5n-1}{6}$

a)

$n=-\frac{11}{4}$

b)

$n=\frac{3}{2}$

c)

$n=\frac{11}{4}$

d)

$n=-\frac{3}{2}$

2.

Solve for x, $\frac{15}{8x-3}=\frac{1}{2+2x}$

a)

$x=-\frac{11}{4}$

b)

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

c)

$x=\frac{11}{4}$

d)

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

3.

Solve the equation for x.

a)

7

b)

6

c)

14

d)

0

4.

Solve for x: $\frac{5}{3}-\frac{2}{x}=\frac{8}{x}$

a)

$2$

b)

$\frac{18}{5}$

c)

$\frac{26}{5}$

d)

$6$

5.

Solve: $\frac{3}{x-5}-\frac{20}{x^2-25}=\frac{2}{x+5}$

a)

$x=-5$

b)

$x=5$

c)

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

d)

No Solution

6.

Solve for x: $\frac{1}{x}=\frac{1}{5x}-\frac{x-1}{5x}$

a)

x = 5

b)

x = -3

c)

x = 3

d)

x = -5

7.

Solve for x: $\frac{6x+18}{x^2}+\frac{1}{x}=\frac{3}{x}$

a)

x = 4.5

b)

x = -4.5

c)

x = 3

d)

x = -3

8.

State the domain restrictions.

a)

x ≠ -2

b)

x ≠ 2, 1

c)

x ≠ 2, -1

d)

x ≠ -2, 2, 1

9.

Solve for x: $\frac{5}{x+2}=\frac{1}{x-4}$

a)

x = 5

b)

x = 4

c)

x = 5.5

d)

x = -4

10.

Solve for x

a)

1/3

b)

-5.5

c)

5.5

d)

2.5

8-6C ALG Entry Task

Total questions: 10

Worksheet time: 20mins

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