### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Multiply Integers

in physics where.

If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?

**Possible Answers:**

**Correct answer:**

We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.

### Example Question #1 : How To Multiply Integers

An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?

**Possible Answers:**

**Correct answer:**

The office can only afford 20 computers.

1.09 * 900 = $981 is the actual price of each computer, with tax.

Divide:

20,000/981 = 20.39

Since the office cannot purchase a partial computer, we round down to 20 computers.

### Example Question #2 : How To Multiply Integers

What property of arithmetic is demonstrated below?

**Possible Answers:**

Transitive

Associative

Symmetric

Commutative

Distributive

**Correct answer:**

Distributive

The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.

### Example Question #1 : How To Multiply Integers

What property of arithmetic is demonstrated here?

**Possible Answers:**

Associative

Transitive

Commutative

Symmetric

**Correct answer:**

Associative

The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.

### Example Question #4 : How To Multiply Integers

Multiply in modulo 8:

**Possible Answers:**

None of the other responses is correct.

**Correct answer:**

In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.

and

so

making the correct response.

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