SSAT Middle Level Math : How to add variables

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

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Example Questions

Example Question #31 : Operations

Simplify:

Possible Answers:

Correct answer:

Explanation:

Combine like terms:

Example Question #151 : Operations

Simplify:

Possible Answers:

Correct answer:

Explanation:

Combine like terms:

Example Question #161 : Variables

Evaluate 

Possible Answers:

Correct answer:

Explanation:

 

Example Question #21 : How To Add Variables

Possible Answers:

Correct answer:

Explanation:

Add the numbers and keep the variable:

Answer:

Example Question #11 : How To Add Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

First we should simplify the first expression. We can first apply the power of a product rule and then apply the power of a power rule. So we can write:

 

Return to the original expression:

Since the variables have the same exponents we can write:

 

Example Question #11 : Algebra

Gina's mom baked 12 cookies. 8 were cinnamon and 4 were chocolate chip. If Gina eats one of the cinnamon cookies, how many more cinnamon cookies are there than chocolate chip?

Possible Answers:

Correct answer:

Explanation:

Gina's mom baked 12 cookies; 8 were cinnamon and 4 were chocolate chip. If Gina then eats a cinnamon cookie, there will be 7 cinnamon cookies left.

After she eats the cookie, we need to find the difference between the number of cinnamon cookies and chocolate chip cookies.

There are 3 more cinnamon cookies than chocolate chip cookies.

Example Question #13 : How To Add Variables

Add  in modulo 13 arithmetic.

Possible Answers:

Correct answer:

Explanation:

In modulo 13 arithmetic, a number is congruent to the remainder of the divison of that number by 13. Since 

and 

,

making the correct response 0.

 

Example Question #41 : Operations

Suppose you know the values of all variables in the expression 

and you want to evaluate the expression.

In which order will you carry out the operations?

Possible Answers:

Multiplying, adding, subtracting

Adding, subtracting, multiplying

Subtracting, adding, multiplying

Multiplying, subtracting, adding

Adding, multiplying, subtracting

Correct answer:

Adding, multiplying, subtracting

Explanation:

By the order of operations, the operation within parentheses, which is addition, is carried out first; of the remaining two, multiplication precedes subtraction.

Example Question #42 : Variables

Suppose you know the values of all variables in the expression 

and you want to evaluate the expression.

In which order will you carry out the operations?

Possible Answers:

Multiplying, squaring, adding

Multiplying, adding, squaring

Squaring, adding, multiplying

Adding, multiplying, squaring

Squaring, multiplying, adding

Correct answer:

Squaring, multiplying, adding

Explanation:

By the order of operations, in the absence of grouping symbols, exponentiation (squaring here) takes precedence, followed by, in order, multiplication and addition.

Example Question #111 : Ssat Middle Level Quantitative (Math)

The sum of four consecutive numbers is 62. What is the smallest number?

Possible Answers:

Correct answer:

Explanation:

The algebraic way to solve this problem is to set up an equation, however, students can also solve using guess-and-check from the answer options.

When setting up an equation, sequential numbers are equal to , and . We know the sum of these sequential numbers to be 62, allowing us to set up the following equation:

Combine like-terms by reordering.

Subtract 6 from each side of the equation, then divide each side by 4 in order to isolate the variable.

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