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- Additive property of equality with decimals
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- Multiplicative property of equality with whole numbers: Fractional answers
- Multiplicative property of equality with fractions
- Using two steps to solve an equation with whole numbers
- Solving an equation with parentheses
- Solving a fraction word problem using a linear equation of the form Ax = B
- Translating a sentence into a multi-step equation
Translating a sentence into a multi-step equation Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Translating a sentence into a multi-step equation. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Answer : B
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$\frac{9x}{33} −8 = −5$
Step 2:
Adding 8 to both sides
$\frac{9x}{33} −8 + 8 = −5 + 8; \: \frac{9x}{33} = 3$
Step 3:
Cross multiplying and simplifying
$x = \frac{99}{9} =11$
So, required number is 11
Answer : C
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$\left ( \frac{x}{7} + 2 \right )6 = 12$
Step 2:
Dividing both sides by 6
$\frac{6\left ( \frac{x}{7} + 2 \right )}{6} = \frac{12}{6}; \: \left ( \frac{x}{7} + 2 \right ) = 2$
Step 3:
Subtracting 2 from both sides
$\frac{x}{7} + 2 − 2 = 2 − 2 = 0; \: \frac{x}{7} = 0$
Cross multiplying
$x = 7 \times 0 = 0$
So, required number is 0
Answer : D
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$\frac{8x}{6} + 3 = 7$
Step 2:
Subtracting 3 from both sides
$\frac{8x}{6} − 3 + 3 = −3 + 7; \: \frac{8x}{6} = 4$
Step 3:
Cross multiplying and simplifying
$x = \frac{24}{8} = 3$
So, required number is 3
Answer : A
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$\frac{10x}{26} − 8 = −3$
Step 2:
Adding 8 to both sides
$\frac{10x}{26} − 8 + 8 = −3 + 8; \: \frac{10x}{26} = 5$
Step 3:
Cross multiplying and simplifying
$x = \frac{130}{10} = 13$
So, required number is 13
Answer : C
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$3(\frac{120}{x}) − 5 = 40$
Step 2:
Adding 5 to both sides
$\frac{360}{x} − 5 + 5 = 40 + 5; \: \frac{360}{x} = 45$
Step 3:
Cross multiplying and simplifying
$x = \frac{360}{45} = 8$
So, required number is 8
Answer : A
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$6(\frac{17}{x}) − 5 = 1$
Step 2:
Adding 5 to both sides
$\frac{102}{x} − 5 + 5 = 1 + 5; \: \frac{102}{x} = 6$
Step 3:
Cross multiplying and simplifying
$x = \frac{102}{6} = 17$
So, required number is 17
Answer : B
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$\left ( \frac{x}{6} + 2 \right )6 = 12$
Step 2:
Dividing both sides by 6
$\frac{\left [ \left ( \frac{x}{6} + 2\right )6 \right ]}{6} = \frac{12}{6}; \: \left ( \frac{x}{6} + 2\right ) = 2$
Subtracting 2 from both sides
$\frac{x}{6} − 2 + 2 = 2 − 2 = 0; \: \frac{x}{6} = 0$
Step 3:
Cross multiplying and simplifying
$x = 6 \times 0 = 0$
So, required number is 0
Answer : D
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$[\left ( \frac{14 - x}{4} \right )]3 = 9$
Step 2:
Dividing both sides by 3
$\frac{\left [ [\left ( \frac{14 - x}{4} \right )]3 \right ]}{3}= \frac{9}{3}; \: \frac{\left ( 14 - x \right )}{4} = 3$
Cross multiplying and simplifying
$14 − x = 4 \times 3 = 12$
Step 3:
Subtracting 14 from both sides
$14 − x − 14 = 12 − 14 = − 2; \: -x = −2; \: x = 2$
So, required number is 2
Answer : A
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$\frac{7x}{2.8} − 6.8 = −30.8$
Step 2:
Adding 6.8 to both sides
$\frac{7x}{2.8} − 6.8 + 6.8 = −30.8 + 6.8; \: \frac{7x}{2.8} = −24.8$
Step 3:
Cross multiplying and simplifying
$x = −24.8 \times \frac{2.8}{7} = −9.6$
So, required number is −9.6
Answer : B
Explanation
Step 1:
Let the required number be = x
Reducing the problem to an equation we get
$[\left ( \frac{6 + x}{3} \right )]5 = 10$
Step 2:
Dividing both sides by 5
$\frac{\left [ [\left ( \frac{6 + x}{3} \right )]5 \right ]}{5}= \frac{10}{5}; \: \left [ \frac{\left ( 6 + x \right )}{3} \right ] = 2$
Cross multiplying and simplifying
$6 + x = 3 \times 2 = 6$
Step 3:
Subtracting 6 from both sides
$6 + x − 6 = 6 − 6 = 0$
So, required number is 0