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23 questions · timed · auto-graded

Question 11 Mark
Give the first step you will use to separate the variable and then solve the equation: $y – 4 = 4$
Answer
The given equation is
$y – 4 = 4$
Add 4 to both side,
$y – 4 + 4 = 4 + 4$
$\therefore y = 8$
It is the required solution
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Question 21 Mark
Give the first step you will use to separate the variable and then solve the equation: $y – 4 = –7$
Answer
The given equation is
$y – 4 = –7$
Add $4$ to both side,
$y – 4 + 4 = –7 + 4$
$\therefore y = –3$
It is the required solution.
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Question 31 Mark
Give the first step that you will use to separate the variable and then solve the equation $x - 1 = 5$
Answer
Here, we have to separate the variables
Given equation is, $x - 1 = 5$
Adding $1$ on both side of the equation, we get
$x - 1 + 1 = 5 + 1$
$x = 6$
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Question 41 Mark
Write the equations in statement form: $\frac{p}{2}+2=8$
Answer
According to the question, $\frac{p}{2}+2=8$
It can be written in a statement as, When half of $p$ is added to $2$, it becomes $8.$
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Question 51 Mark
Write the equation in statement form: $4p – 2 = 18$
Answer
If you subtract $2$ from $4$ times $p$, you get $18$
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Question 61 Mark
Write the equation in statement form: $3p + 4 = 25$
Answer
If you add $4$ to three times $p$, you get $25.$
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Question 111 Mark
Write the equation in statement form: $p + 4 = 15$
Answer
Given equation is, $p + 4 = 15$
We can write the statement as, The sum of $p$ and $4$ is $15$
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Question 121 Mark
Write an equation for statement: One-fourth of a number $x$ minus $4$ gives $4$.
Answer
One-fourth of a number $x$ is represented as $\frac{x}{4}$.
Now, One-fourth of a number $x$ minus $4$ gives $4$ can be represented as: $\frac{x}{4}-4=4$
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Question 141 Mark
Write the equation for the statement: three-fourth of t is $15.$
Answer
Here, Three-fourth of t can be written as $\frac {3}{4} t$
Now, Three-fourth of t is $15$ gives: $\frac{3 t}{4}=15$
Thus, the required equation is, $\frac{3 t}{4}=15$
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Question 151 Mark
Write equation for the statement: The number b divided by $5$ gives $6.$
Answer
Here, the number b divided by $5$ gives $6.$
Thus, we can write the equation as, $\frac{b}{5}=6$
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Question 181 Mark
Check whether the value given in the brackets is a solution to the given equation or not: $4p - 3 = 13 (p = 0)$
Answer
Given: $4p - 3 = 13$
Put $p = 0$, we have.
Consider $L.H.S. :$
$4p - 3 = 4(0) - 3 = -3 ≠ RHS$
Thus, the equation is not satisfied.
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Question 191 Mark
Solve: $12p – 5 = 25$
Answer
Given, $12p – 5 = 25$
Adding $5$ on both sides, we get,
$12p – 5 + 5 = 25 + 5$
or, $12p = 30$
Dividing both sides by $12,$
$\frac{12 p}{12}=\frac{30}{12}$
or $p=\frac{5}{2}$
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Question 201 Mark
Convert the equation in statement form: $\frac{m}{5}-2=6$
Answer
When you subtract 2 from one-fifth of a number m it gives 6.
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Question 211 Mark
Convert the equation in statement form: $3n + 7 = 1$
Answer
Add $7$ to three times a number n to get $1.$
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Question 221 Mark
Convert the equation in statement form: $5p = 20$
Answer
$5p = 20$ can be written in a statement as, Five times a number p is $20$.
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Question 231 Mark
Convert the equation in statement form: $x – 5 = 9$
Answer
$x – 5 = 9$ can be written in a statement as,Taking away $5$ from $x$ gives $9.$
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