SSAT Middle Level Math : How to subtract variables

Study concepts, example questions & explanations for SSAT Middle Level Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #94 : Variables

If  is an odd number, which of the following must also be odd?

Possible Answers:

Correct answer:

Explanation:

The easiest way to solve this problem is to pick an odd number (we can use 3 for example), and plug it into each answer choice. 

The only answer choice that gives us an odd result is:

As a rule of thumb, an even number subtracted from an odd number will always result in an odd number.

Example Question #95 : Variables

Philip had a glass containing 16 ounces of water. He drank 2 ounces. His brother then drank half of what remained. How many ounces of water are now in the glass?

Possible Answers:

Correct answer:

Explanation:

If there were 16 ounces of water to start, this amount decreased to 14 ounces when Philip drank 2 ounces. 

With 14 ounces remaining, his brother drank half. This would be equal to 7 ounces.

This left the other half of the water, which was also 7 ounces; thus, 7 ounces in the amount of water that remained.

Example Question #162 : Ssat Middle Level Quantitative (Math)

If  minus two times another number equals , what is the other number?

Possible Answers:

Correct answer:

Explanation:

The first step is to transfer  minus two times another number equals  into mathematical terms. Doing so gives us:

Next, 17 is subtracted from each side. 

Each side is now divided by

Therefore,  is the correct answer. 

Example Question #21 : How To Subtract Variables

Jim and Jack are having tea together. There are 10 sugar cubes on a small tray. Jim takes 1 cube for his tea, and Jack takes twice as many cubes as Jim. How many sugar cubes remain?

Possible Answers:

Correct answer:

Explanation:

The first step is to convert the following into a mathematical equation:

There are 10 sugar cubes on a small tray. Jim takes 1 cube for his tea, and Jack takes twice as many cubes as Jim.

The equation for the remaining cubes would be:

Therefore, 7 is the correct answer. 

Example Question #123 : Operations

There are 9 cats in a shelter. Bob adopts 2 of the cats. Anita then adopts more cats than Bob adopted, but fewer than the majority of the cats remaining. How many cats did Anita adopt?

Possible Answers:

Correct answer:

Explanation:

If Anita adopted more cats than Bob, then she adopted more than 2 cats. 

Given that Bob adopted 2 cats, there are 7 cats remaining. A majority of the remaining cats would be 4. 

Given that Anita adopted more than 2 cats, but less than 4, she must have adopted 3 cats; therefore, 3 is the correct answer. 

Example Question #172 : Ssat Middle Level Quantitative (Math)

Tom has 8 pretzel sticks. He gives one stick to his sister, and then breaks what remains in half. Tom eats 5 of the half-pretzel sticks. How many half-pretzel sticks remain?

Possible Answers:

Correct answer:

Explanation:

If Tom has 8 pretzel sticks and gives one stick to his sister, then he will have 7 pretzel sticks remaining. If he then breaks what remains in half, he will have 14 half-pretzel sticks. If Tom eats 5 of the half-pretzel sticks, 9 half-pretzel sticks will therefore remain. 

Example Question #101 : Operations

Possible Answers:

Correct answer:

Explanation:

Subtract the numbers and keep the variable:

Answer:

Example Question #101 : Variables

Possible Answers:

Correct answer:

Explanation:

First distribute the subtraction sign through the terms in the parentheses. 

Subtraction of a negative is the same as adding a positive.

Rewrite.

Group all like terms together.

Evaluate the terms in each parentheses.

Rewrite in simplest form.

 is the correct answer.

Example Question #101 : Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

First distribute the  to the terms inside the parentheses.  

Rewrite.

Rewrite putting like terms together.

Evaluate each set of terms in the parentheses.

The constant is 

Rewrite in simplest form.

 is the correct answer.

Example Question #31 : How To Subtract Variables

Possible Answers:

Correct answer:

Explanation:

The first step in simplifying the expression

 is to distribute the  to all terms inside the parentheses.

Rewrite.

Group like terms together. Rewrite.

Evaluate the terms in the parentheses.

There are no terms to combine with and the constant which is 

Rewrite in simplest form.

 is the correct answer.

Learning Tools by Varsity Tutors