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SSAT Middle Level Math : How to multiply variables

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Example Question #81 : Ssat Middle Level Quantitative (Math)

Suppose you know the values of all variables in the expression

$r+ n \cdot k -q$

and you want to evaluate the expression.

In which order will you carry out the operations?

Possible Answers:

Subtracting, multiplying, adding

Multiplying, adding, subtracting

Adding, multiplying, subtracting

Adding, subtracting, multiplying

Multiplying, subtracting, adding

Correct answer:

Multiplying, adding, subtracting

Explanation:

By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the addition is performed second and the subtraction last.

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Example Question #11 : Operations

Multiply in modulo 8:

$6 \times 3 \times 2$

Possible Answers:

None of the other choices give the correct answer.

Correct answer:

Explanation:

In modulo 8 arithmetic, a number is congruent to the remainder of the divison of that number by 8. Since

$6 \times 3 \times 2 = 36$

and

$36 \div 8 = 4 \textrm{ R }4$

then

$6 \times 3 \times 2 \equiv 4 \mod 8$ .

The correct response is 4.

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Example Question #82 : Ssat Middle Level Quantitative (Math)

Which of the following phrases can be written as the algebraic expression 9x - 55 ?

Possible Answers:

The correct answer is not given among the other responses.

Fifty-five subtracted from the product of nine and a number

The product of nine and a number subtracted from fifty-five

Nine multiplied by the difference of fifty-five and a number

Nine multiplied by the difference of a number and fifty-five

Correct answer:

Fifty-five subtracted from the product of nine and a number

Explanation:

9x - 55 is fifty-five subtracted from .

is the product of nine and a number.

Subsequently, 9x - 55 is "fifty-five subtracted from the product of nine and a number".

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Example Question #13 : Operations

Solve the following expression,

$5x^{2}*2x^{3}$ .

Possible Answers:

$7x^{6}$

$10x^{6}$

$7x^{5}$

$10x^{5}$

The expression is already solved.

Correct answer:

$10x^{5}$

Explanation:

When multiplying like variables, the constants are multiplied together.

For the exponents, when you multply variable exponents you have to add the exponents together.

5*2=10 and 2+3=5 so that gives you an answer of $10x^{5}$ .

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Example Question #83 : Ssat Middle Level Quantitative (Math)

Solve:

$(x^{4}y^{5}) (x^{2}yz)$

Possible Answers:

$x^{6}yz^{5}$

$x^{6}y^{6}z$

$x^{8}y^{6}z$

$x^{8}y^{5}z$

Correct answer:

$x^{6}y^{6}z$

Explanation:

When multiplying variables with exponents, add the exponents.

$(x^{4 })(x^{2}) = x^{4+2} = x^{6}$

$(y^{5})(y^{1}) =y ^{5+1} =y^{6}$

$z^{1} = z$

The correct answer is $x^{6}y^{6}z$

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Example Question #82 : Ssat Middle Level Quantitative (Math)

Solve:

$(ab^{3}c^{4})(ab^{4}c^{2})$

Possible Answers:

$abc^{13}$

$ab^{12}c^{8}$

$ab^{7}c^{6}$

$a^{2}b^{7}c^{6}$

Correct answer:

$a^{2}b^{7}c^{6}$

Explanation:

When multiplying variables with exponents the exponents are added.

$(a)(a) = a^{1+1} =a^{2}$

$(b^{3}) (b^{4})= b^{3+4} = b^{7}$

$(c^{4}) (c^{2}) = c^{4+2} = c^{6}$

The correct answer is $a^{2}b^{7}c^{6}$

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SSAT Middle Level Math : How to multiply variables

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #81 : Ssat Middle Level Quantitative (Math)

Example Question #11 : Operations

Example Question #82 : Ssat Middle Level Quantitative (Math)

Example Question #13 : Operations

Example Question #83 : Ssat Middle Level Quantitative (Math)

Example Question #82 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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