SSAT Middle Level Math : Operations

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

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Example Questions

Example Question #4 :How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #5 :How To Subtract Variables

Solve for:

Possible Answers:

Correct answer:

Explanation:

In order to solve for, moveto one side of the equation and everything else to the other. To do this, subtractfrom both sides.

Example Question #6 :How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

The first step is to apply the distributive property. Don't forget to distribute the negative in the second parenthesis!

Next, combine the variables and the numbers. This gives us:

Example Question #7 :How To Subtract Variables

Which of the following phrases can be written as the algebraic expression?

Possible Answers:

Six less than one fifth of a number

None of the other responses is correct.

One fifth the product of negative six and a number

One fifth less than the product of six and a number

One fifth decreased by the product of six and a number

Correct answer:

One fifth decreased by the product of six and a number

Explanation:

is one fifth decreased by.is the product of six and a number.

Consequently,is "one fifth decreased by the product of six and a number".

Example Question #1 :How To Subtract Variables

Which of the following phrases can be written as the algebraic expression?

Possible Answers:

Thirteen divided by the difference of nine and a number.

Thirteen divided by the difference of a number and nine.

Thirteen divided into the difference of nine and a number.

The correct answer is not among the other choices.

Thirteen divided into the difference of a number and nine.

Correct answer:

Thirteen divided into the difference of a number and nine.

Explanation:

is thirteen divided into.

is the difference of a number and nine.

Therefore,

is "thirteen divided into the difference of a number and nine".

Example Question #4 :Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #5 :Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #1 :Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

Possible Answers:

Correct answer:

Explanation:

This problem is just a matter of grouping together like terms. Remember that terms likeare treated as though they were their own, different variable:

The only part that might be a little hard is:

If you are confused, think of your number line. This is like "going back" (more negative) from 15. Therefore, you ranswer will be:

Example Question #1 :How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

This problem really is a trick question. There are no common terms among any of the parts of the expression to be simplified. In each case, you have an independent variable or set of variables:and. Therefore, do not combineanyof the elements!

Example Question #2 :How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Remember, when there is a subtraction outside of a group, you should add the opposite of each member. That is:

That is a bit confusing, so let's simplify. When you add a negative, you subtract:

Now, group your like variables:

Finally, perform the subtractions and get:

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