11th GRADE READINESS TEST (EQUATIONS AND INEQUALITIES) Quiz

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

m and n are real numbers. If the given equation is a first degree equation with one variable, then find the value of x.
$\left(3m-12\right)x^3+x^{n+2}+2m-n+4=0$

-9

-11

-13

9

13

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find a if one of the roots of the given equation is x=1.
$\frac{5}{x+4}-\frac{2}{x-a}=4-\frac{1}{x-a}$

$\frac{1}{3}$

-1

$\frac{4}{3}$

0

3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the solution set of the equation
$\frac{5x-6}{3}=\frac{10x+4}{6}$

{2}

{-1 }

{-1, 2 }

{ }

{ 1, 3}

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(2,20)

(2,20]

(1,10]

[2,20]

(1,10)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

$a^2+1$

[1, 17)

[1, 17]

(1, 17)

[10, 17]

[10, 17)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of y, if
$\frac{3}{x}+\frac{2}{y}=5$

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

$\frac{2}{3}$

1

$\frac{1}{3}$

3

$\frac{3}{2}$

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

9

12

-9

-12

-15

8.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

3

4

5

6

7

9.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

32

39

45

54

65

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11th Grade

11th GRADE READINESS TEST (EQUATIONS AND INEQUALITIES)

m and n are real numbers. If the given equation is a first degree equation with one variable, then find the value of x. (3m−12)x3+xn+2+2m−n+4=0\left(3m-12\right)x^3+x^{n+2}+2m-n+4=0(3m−12)x3+xn+2+2m−n+4=0

Find a if one of the roots of the given equation is x=1. 5x+4−2x−a=4−1x−a\frac{5}{x+4}-\frac{2}{x-a}=4-\frac{1}{x-a}x+45​−x−a2​=4−x−a1​

Find the solution set of the equation 5x−63=10x+46\frac{5x-6}{3}=\frac{10x+4}{6}35x−6​=610x+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 is a real number. If -3 < a < 4, then find the interval for the possible values of a2+1a^2+1a2+1

Find the value of y, if 3x+2y=5\frac{3}{x}+\frac{2}{y}=5x3​+y2​=5 6x+3y=7\frac{6}{x}+\frac{3}{y}=7x6​+y3​=7

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

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

Find x if 33+3x−1=3^3\sqrt{3+3\sqrt{x-1}}=333+3x−1​​=3

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m and n are real numbers. If the given equation is a first degree equation with one variable, then find the value of x.
$\left(3m-12\right)x^3+x^{n+2}+2m-n+4=0$

Find a if one of the roots of the given equation is x=1.
$\frac{5}{x+4}-\frac{2}{x-a}=4-\frac{1}{x-a}$

Find the solution set of the equation
$\frac{5x-6}{3}=\frac{10x+4}{6}$

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

$a^2+1$

Find the value of y, if
$\frac{3}{x}+\frac{2}{y}=5$

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

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

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

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