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.

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

• -9

• -11

• -13

• 9

• 13

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

Find the solution set of the equation 

 $\frac{5x-6}{3}=\frac{10x+4}{6}$  

• {2}

• {-1 }

• {-1, 2 }

• { }

• { 1, 3}

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)

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)

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

•  $\frac{3}{2}$  

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

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

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

• 32

• 39

• 45

• 54

• 65