Free Printable 11th GRADE READINESS TEST (EQUATIONS AND INEQUALITIES)

1.

m and n are real numbers. If the given equation is a first degree equation with one variable, then find the value of x.

\left(3m-12\right)x^3+x^{n+2}+2m-n+4=0

a)

-9

b)

-11

c)

-13

d)

9

e)

13

2.

Find a if one of the roots of the given equation is x=1.

\frac{5}{x+4}-\frac{2}{x-a}=4-\frac{1}{x-a}

a)

$\frac{1}{3}$

b)

-1

c)

$\frac{4}{3}$

d)

0

e)

3

3.

Find the solution set of the equation

\frac{5x-6}{3}=\frac{10x+4}{6}

a)

{2}

b)

{-1 }

c)

{-1, 2 }

d)

{ }

e)

{ 1, 3}

4.

x is a real number. If -4≤x<5 and 2x+y=12 then find the largest interval for the possible values of y.

a)

(2,20)

b)

(2,20]

c)

(1,10]

d)

[2,20]

e)

(1,10)

5.

a is a real number. If -3 < a < 4, then find the interval for the possible values of

a^2+1

a)

[1, 17)

b)

[1, 17]

c)

(1, 17)

d)

[10, 17]

e)

[10, 17)

6.

Find the value of y, if

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

\frac{6}{x}+\frac{3}{y}=7

a)

$\frac{2}{3}$

b)

1

c)

$\frac{1}{3}$

d)

3

e)

$\frac{3}{2}$

7.

Find the product of the values of x which satisfy the equation $\left|\left|x-1\right|-1\right|=3$

a)

9

b)

12

c)

-9

d)

-12

e)

-15

8.

Find the sum of the possible values of x if $\left(x-1\right)^8=\left(7-3x\right)^8$

a)

3

b)

4

c)

5

d)

6

e)

7

9.

Find x if $^3\sqrt{3+3\sqrt{x-1}}=3$

a)

32

b)

39

c)

45

d)

54

e)

65

11th GRADE READINESS TEST (EQUATIONS AND INEQUALITIES)

Total questions: 9

Worksheet time: 9mins

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