SSAT Middle Level Math : Algebra

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

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Example Questions

Example Question #41 : How To Add Variables

Simplify this mathematical expression.

Possible Answers:

Correct answer:

Explanation:

Rewrite the expression

so that like terms are next to each other.

Evaluate the terms in the parentheses.

The constant is 20.

Rewrite in simplest form.

  is the correct answer.

 

Example Question #62 : Variables

Possible Answers:

Correct answer:

Explanation:

To simplify this expression, 

  combine like terms.

In this expression, the only terms that can be combined are the ones that have  as the variable.

Rewrite in simplest form.

Example Question #63 : Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Rewrite  by putting like terms together.

Because the Commutative Property of Multiplication states that (y times z) is equal to (z times y), then  and are the same.

Evaluate what is inside the parentheses and rewrite in simplest form.

  is the correct answer.

Example Question #64 : Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

In order to simplify , first rewrite by putting like terms together.

Then, evaluate the terms in each parentheses.

When you subtract a negative number, you are adding the inverse. Therefore,

There is nothing to combine the term with. The term  is the constant.

Rewrite in simplest form.

 is the correct answer.

Example Question #65 : Variables

Possible Answers:

Correct answer:

Explanation:

Distribute the  to each term within the parentheses.

Rewrite.

Then, rewrite the expression putting all like terms together.

Evaluate the terms in the parentheses.

The constant is 18.

Rewrite in simplest form.

Example Question #11 : Expressions & Equations

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

When solving this problem we need to remember our order of operations, or PEMDAS. 

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Parentheses: We are not able to add a variable  to a number, so we move to the next step. 

Multiplication: We can distribute (or multiply) the 

Addition/Subtraction: Remember, we can't add a variable  to a number, so the  is left alone.

Now we have 

Example Question #62 : Variables

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Combine like terms  and  by subtracting their coefficients; do not combine either with the 7.

Example Question #1 : How To Subtract Variables

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : How To Subtract Variables

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

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