ISEE Middle Level Quantitative : How to find the solution to an equation

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #184 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve for :

Possible Answers:

Correct answer:

Explanation:

Apply the properties of equality to both sides of the equation as follows in order to isolate  on the left side, keeping in mind the rules for signed integer arithmetic:

Move the decimal points two places right in each of the two numbers, then divide:

Example Question #62 : Equations

Which is the greater quantity?

(a)  

(b) 

Possible Answers:

(a) and (b) are equal

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(b) is the greater quantity

Correct answer:

(b) is the greater quantity

Explanation:

Isolate  on one side of the first equation by dividing both sides by the coefficient of :

Divide by moving the decimal points right two places in order to make the divisor an integer:

Similarly:

 

, so

 ;

that is, .

Example Question #185 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

 is a positive number;  is the additive inverse of .

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

It is impossible to determine which is greater from the information given

(a) and (b) are equal

(b) is the greater quantity

(a) is the greater quantity

Correct answer:

(b) is the greater quantity

Explanation:

If   is the additive inverse of , then, by definition, 

.

Therefore, after distribution,

.

If  is a positive number, then its additive inverse, , must be negative. Therefore, , as the product of two numbers of unlike sign, is negative. Multiply this by the positive number 7 and the result is also negative, so 

,

and 

Example Question #61 : How To Find The Solution To An Equation

Solve for 

Possible Answers:

Correct answer:

Explanation:

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