Questions · Page 1 of 2

1 Marks Question

🎯

Test yourself on this topic

50 questions · timed · auto-graded

Question 111 Mark
Give the steps you will use to separate the variable and then solve the equation.
$\frac{3 p}{10}=6$
Answer
20
View full question & answer
Question 121 Mark
Give the steps you will use to separate the variable and then solve the equation.
$\frac{20 p}{3}=40$
Answer
6
View full question & answer
Question 131 Mark
Give the steps you will use to separate the variable and then solve the equation.
$5 m+7=17$
Answer
We have, $5 m+7=17$
On subtracting 7 from both sides, we get
$

5 m+7-7 =17-7$
$\Rightarrow 5 m =10

$
Now, on dividing both sides by 5 , we get
$
\frac{5 m}{5}=\frac{10}{5} \Rightarrow m=2
$
Hence, $m=2$ is the solution of the given equation.
View full question & answer
Question 141 Mark
Give the steps you will use to separate the variable and then solve the equation.
$3 n-2=46$
Answer
We have, $3 n-2=46$
On adding 2 to both sides, we get
$
\begin{array}{rlrl}

3 n-2+2 & =46+2 \\
\Rightarrow 3 n=48
\end{array}
$
Now, on dividing both sides by 3 , we get
$
\frac{3 n}{3}=\frac{48}{3} \Rightarrow n=16
$
Hence, $n=16$ is the solution of the given equation.
View full question & answer
Question 151 Mark
Give first the step you will use to separate the variable and then solve the equation.
$20 t=-10$
Answer
$-\frac{1}{2}$
View full question & answer
Question 161 Mark
Give first the step you will use to separate the variable and then solve the equation.
$\frac{a}{5}=\frac{7}{15}$
Answer
$\frac{7}{3}$
View full question & answer
Question 171 Mark
Give first the step you will use to separate the variable and then solve the equation.
$\frac{z}{3}=\frac{5}{4}$
Answer
$\frac{15}{4}$
View full question & answer
Question 181 Mark
Give first the step you will use to separate the variable and then solve the equation.
$8 y=36$
Answer
$\frac{9}{2}$
View full question & answer
Question 191 Mark
Give first the step you will use to separate the variable and then solve the equation.
$4 x=25$
Answer
$\frac{25}{4}$
View full question & answer
Question 201 Mark
Give first the step you will use to separate the variable and then solve the equation.
$\frac{p}{7}=4$
Answer
28
View full question & answer
Question 211 Mark
Give first the step you will use to separate the variable and then solve the equation.
$\frac{b}{2}=6$
Answer
We have, $\frac{b}{2}=6$
On multiplying both sides by 2 , we get
$
\frac{b}{2} \times 2=6 \times 2 \Rightarrow b=12
$
Hence, $b=12$ is the solution of the given equation.
View full question & answer
Question 221 Mark
Give first the step you will use to separate the variable and then solve the equation.
$3 I=42$
Answer
We have, $ 3 l=42$
On dividing both sides by 3 , we get
$
\frac{3 l}{3}=\frac{42}{3} \Rightarrow l=14
$
Hence, $l=14$ is the solution of the given equation.
View full question & answer
Question 291 Mark
Give first the step you will use to separate the variable and then solve the equation.
$x+1=0$
Answer
We have, $x+1=0$
On subtracting 1 from both sides, we get
$
x+1-1=0-1 \Rightarrow x=-1
$
Hence, $x=-1$ is the solution of the given equation.
View full question & answer
Question 301 Mark
Give first the step you will use to separate the variable and then solve the equation.
$x-1=0$
Answer
We have, $x-1=0$
On adding 1 to both sides, we get
$
x-1+1=0+1 \Rightarrow x=1
$
Hence, $x=1$ is the solution of the given equation.
View full question & answer
Question 311 Mark
Write the following equations in statement form.
$\frac{p}{2}+2=8$
Answer
You get 8 when you add $I$ to half of a number?
View full question & answer
Question 321 Mark
Write the following equations in statement form.
$4 p-2=18$
Answer
2 subtracted from four times a number $p$ is 18.
View full question & answer
Question 341 Mark
Write the following equations in statement form.
$\frac{3 m}{5}=6$
Answer
Three times $m$ divided by 5 is equal to 6.
View full question & answer
Question 351 Mark
Write the following equations in statement form.
$\frac{m}{5}=3$
Answer
The number $m$ divided by 5 gives 3.
View full question & answer
Question 391 Mark
Write equations for the following statements.
The sum of numbers $x$ and 4 is 9 .
Answer
According to the question,
Sum of $x$ and $4=x+4$ and the sum $=9$
Hence, the required equation is $x+4=9$.
View full question & answer
Question 401 Mark
Check whether the value given in the brackets is a solution to the given equation or not.
$4 p-3=13(p=0)$
Answer
No
View full question & answer
Question 411 Mark
Check whether the value given in the brackets is a solution to the given equation or not.
$4 p-3=13(p=-4)$
Answer
No
View full question & answer
Question 421 Mark
Check whether the value given in the brackets is a solution to the given equation or not.
$4 p-3=13(p=1)$
Answer
No
View full question & answer
Question 431 Mark
Check whether the value given in the brackets is a solution to the given equation or not.
$7 n+5=19(n=2)$
Answer
Yes
View full question & answer
Question 441 Mark
Check whether the value given in the brackets is a solution to the given equation or not.
$7 n+5=19(n=-2)$
Answer
Given equation is $7 n+5=19$.
Here, LHS $=7 n+5$
Puting $n=-2$ in LHS, we get
$
\begin{aligned}
& \text { LHS }=7(-2)+5=-14+5=-9 \neq 19 \\
\because & \text { LHS } \neq \text { RHS }
\end{aligned}
$
So, $n=-2$ is not a solution of the given equation.
View full question & answer
Question 451 Mark
Check whether the value given in the brackets is a solution to the given equation or not.
$n+5=19(n=1)$
Answer
Given equation is $n+5=19$.
Here, LHS $=n+5$
On puting $n=1 in$ LHS, we get
$
\begin{aligned}
& \text { LHS }=1+5=6 \neq 19 \\
\because & \text { LHS } \neq \text { RHS }
\end{aligned}
$
So, $n=1$ is not a solution of the given equation.
View full question & answer
Question 461 Mark
Write equations for the following statements.
Three-fourth of $m$ is 14.
Answer
Three-fourth of $m$ is 14 .
$
\therefore \frac{3}{4} m=14
$
View full question & answer
Question 471 Mark
Write equations for the following statements.
Ten times $a$ is 90 .
Answer
Ten times $a$ is 90 .
$
\therefore 10 a=90
$
View full question & answer
Question 481 Mark
Write equations for the following statements.
2 subtracted from $y$ is 6 .
Answer
2 subtracted from $y$ is 6 .
$
\therefore y-2=6
$
View full question & answer
Question 491 Mark
Write equations for the following statements.
The sum of numbers $x$ and 5 is 9 .
Answer
The sum of number $x$ and 5 is 9 .
$
\therefore x+5=9
$
View full question & answer
Question 501 Mark
Write the following equations in statement form.
$\frac{n}{4}+2=10$
Answer
Given, $\frac{n}{4}+2=10$
In statement form, one-fourth of $n$ added to 2 is 10 .
View full question & answer