Question

A. Multiple Choice. Chose the letter of the best answer.
1. What is the solution of x + 7 = 4?
a. -11
b. -3
c.3
d. 11
2. Which of the following can be a solution of 2x + 3 <-7?
a. O
b. -1
c. -5
d.-10
3. What is the solution of x + 4) = 5?
a. -1 and 9
b. -3 and 5
c. 3 and -5
d. 1 and -9
4. What is/are the solution/s of (3x + 71 = -4?
a. -1
b. -3
c. 3
d. no solution
5. How many solutions does |x + 7) = 1x + 111?
a.-1
b. 2
c. 3
d. no solution
6. What is/are the solution/s of 12x + 71 = 11?
a. 2 and -2
b.-11/7 and 11/7
c. 9 and -9
d. 2 and -9
7. Ruth and Leighn have 42 apples. If the number of apples of Ruth is twice as Leighn,
then how many apples does Leighn have?
a.28
b. 24
c.18
d. 14
8. The total age of Euclid and Dale is more than 120. If Euclid is 20 years older than
Dale, then what is the minimum possible age of Euclid?
a. 50
b. 51
c.70
d. 71
9. The sum of three consecutive even numbers is 36, what is the largest number?
a. 10
b. 12
c.14
d. 16
10. The sum of half a number and 4 is 16. What is the number?
a. -12.
b. -24
c.12
d. 24​

Answer 1

Answer:

1. (b) - 3.

2. (c) - 5.

3.(d) 1 and - 9.

4.(d) no solution.

5.(d) no solution.

6.(d)2 and - 9.

7. (d) 14.

8. (a) 50.

9.(not correct in the question.)

10.(c) 12.

Hope, it is helpful for you.....

Have a nice day...

Answer 2

Multiple choice questions

Explanation:

1.     $x+7=4\ \ \ \ \ \ \ \ \ \ \ \ \ hence,\ x=-3$      ->answer is option (b)
2.     $2x+3<-7$                                                                                                                         $hence,\ x<-5$                                                                                                                     $x=0\ or\ x=-1$                 -> answer is either option (a) or option(b)                                                  
3.      $x+4=5\ \ \ \ \ \ \ \ \ \ \ hence, x=1\ only$                                                                     -> option (d) is the best choice as it is partially correct  
4.    $3x+71=-4\ \ \ \ \ \ \ \ \ \ \ \ \ hence,\ x=-15$     -> no option is correct.
5.    $|x+7| = x+111\\-(x+7)= x+111 \ \ \ \ \ \ \ \ \ \ x+7=x+111 (no\ solution\ from\ this\ equation) \\x= -59$       -> it has one solution.
6.    $12x+71=11\ \ \ \ \ \ \ \ \ \ \ hence,\ x=-5$      -> no option is correct
7. let number of apples ruth have be x and Leighn have be y then we have,     $x=2y$      ----(i)                                                                                                              given we have total number of apples as, $x+y=42$     -----(ii)                                  then putting (i) in (ii) we get,                                                                             $3y=42\\y=14$                   -> answer is option (d)
8. let the age of Euclid be x and Dale be y then we have, $x+y>120$  --(i)        as given we also have, $x=y+20$  ---(ii)                                                              putting (i) in (ii) we get,                                                                      $2y+20>120\\y>50 \\y_{min}=51$             -> answer is option(b)
9. let the three consecutive numbers be $x,\ x+2,\ x+4$                                         now we have, $x+(x+2)+(x+4)=36$                                                                   solving it we get, $x=10$                                                                                             largest number is, $x+4=14$         ->answer is option (c)  
10. let the number be x then we have ,                                                                            $\frac{x}{2} +4=16\\x=24$                         ->answer is option (d)