How to multiply variables

SSAT Middle Level Quantitative · Learn by Concept

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SSAT Middle Level Quantitative › How to multiply variables

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1

Which of the following is NOT the same as

CORRECT

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Explanation

The answer shows that the 3 in front of the has been cancelled, but not removed from the denomitator for the .

2

Solve the following expression,

.

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The expression is already solved.

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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.

and so that gives you an answer of .

3

Simplify:

CORRECT

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Explanation

Apply the distributive property:

4

Multiply in modulo 8:

CORRECT

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None of the other choices give the correct answer.

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Explanation

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

and

then

.

The correct response is 4.

5

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?

Adding, squaring, multiplying

CORRECT

Squaring, multiplying, adding

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Multiplying, adding, squaring

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Multiplying, squaring, adding

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Adding, multiplying, squaring

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Explanation

By the order of operations, the operation inside grouping symbols, which here is addition, takes precendence, followed by, in order, squaring and multiplication.

6

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

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

CORRECT

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

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

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

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The correct answer is not given among the other responses.

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Explanation

is fifty-five subtracted from .

is the product of nine and a number.

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

7

Simplify:

CORRECT

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Explanation

To solve, you can use the commutative and associative properties of multiplication to group like-terms together.

The 4 and 3 should be first multiplied, resulting in 12.

Next should be multiplied by , giving us .

12 times is equal to .

Therefore, the correct answer is .

8

Given , , and , compute .

CORRECT

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Explanation

refers to the product of the three variables: .

9

Simplify:

CORRECT

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Explanation

Apply the distributive property:

10

Simplify:

CORRECT

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Explanation

Apply the distributive property: