Test: Linear equations II - Ambitious

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Question 1:   Solve the equation  $2x+8=12-x$
$1.5$
$-1.5$
$-1\frac{1}{3}$
$1\frac{1}{3}$
Question 2:   Solve the equation  $\left(y-3\right)-\left(y-1\right)=6y$
$\frac{1}{3}$
$3$
$-\frac{1}{3}$
$-3$
Question 3:   Solve the equation  $3\left(x+5\right)+7\left(11-x\right)=9$
$2.075$
$0$
$20.75$
$-20.75$
Question 4:   For which value of  $a$  expression  $7a-27$  is equal to  $0$ ?
$0$
$1$
$-3\frac{6}{7}$
$3\frac{6}{7}$
Question 5:   For which value of  $a$  expressions  $2a+15$  and  $a+2$  are equal?
$13$
$1$
$0$
$-13$
Question 6:   Find the roots of the equation  $\left(2x-5\right)\left(4+3x\right)=0$
$\frac{2}{5}$  and  $\frac{3}{4}$
$25$  and  $1\frac{1}{3}$
$-2.5$  and  $1\frac{1}{3}$
$2.5$  and  $1\frac{1}{3}$
Question 7:   For what value of  $x$  is the sum of the expressions  $2x+8$  and  $-x+12$  equal to  $14$ ?
$6\frac{1}{6}$
$\frac{1}{6}$
$-6$
$6$
Question 8:   Find the roots of the equation  $\left|x\right|=5$
$5$  and  $-5$
$5$
$1$  and  $-1$
$0$
Question 9:   Solve  $\frac{3x}{2}=\frac{1}{3}$
$-4.5$
$\frac{2}{9}$
$-\frac{2}{9}$
$4.5$
Question 10:   Solve the equation  $3.8\left(x-1\right)-0.1\left(14-6x\right)=9.6-0.1\left(13+50x\right)$
$1\frac{41}{94}$
$-1\frac{41}{94}$
$0$
$1$