# HSPT Math : Arithmetic

## Example Questions

### Example Question #21 : Concepts

Evaluate:

Explanation:

Rewrite the expression by simplifying the signs.

### Example Question #21 : Arithmetic

Solve:

Explanation:

Simplify the negative signs to a single sign and solve.

### Example Question #22 : Arithmetic

Solve:

Explanation:

To evaluate , simplify the parenthesis first.

Combine the terms.

### Example Question #22 : Concepts

Simplify:

Explanation:

To evaluate  , simplify the plus and minus signs to a single sign.

### Example Question #21 : Concepts

Solve:

Explanation:

Simplify the expression by eliminating the negative sign when multiplying two negative numbers.  Add the terms.

### Example Question #22 : Concepts

Evaluate:

Explanation:

In order to solve this expression, first simplify the double negative signs, which will convert to a positive sign.

### Example Question #621 : Hspt Mathematics

Evaluate:

Explanation:

Evaluate the numerator first by order of operations.

Evaluate the denominator by order of operations.  Double negatives will equal a positive.

Divide the numerator with the denominator and reduce the fraction.

### Example Question #22 : Concepts

Perform the indicated operation:

Explanation:

When multiplying two negative numbers, their product becomes positive. Thus,

### Example Question #22 : Concepts

When evaluating the expression

,

which operation must be performed second?

Multiplication

Subtraction

Division

Multiplication

Explanation:

According to the order of operations, the operation inside the parentheses, which is the subtraction, is performed first.

This leaves a multiplication, a division, and an addition. By the order of operations, the multiplication and the division come next in left-to-right order; we choose the one that is to the left, which is the multiplication.

### Example Question #23 : Arithmetic

When evaluating the expression

,

which operation must be performed third?

Subtraction

Multiplication

Division

Subtraction

Explanation:

According to the order of operations, since no grouping symbols are present (the parentheses are setting apart a negative number, not an operation), multiplication and the division must be performed, left to right, then the addition and the subtraction must be performed, left to right.

This means that the first two operations to be performed are the multiplication and the division. This leaves a subtraction and an addition; since the subtraction is at left, it is the third operation performed.