Question 1

Which property of addition states that for any real number $$a$$, $$a + 0 = a$$?

Accepted Answer

Identity Property

Question 2

Using a number line, what is the result of $$-3 + 7$$?

Accepted Answer

$$4$$

Question 3

Simplify the expression: $$8x + (-3x) + 5x.$$

Accepted Answer

$$10x$$

Question 4

Which of the following best describes how to add two numbers with different signs?

Accepted Answer

Subtract the smaller absolute value from the greater and use the sign of the number with the greater absolute value.

Question 5

A bank account had the following transactions in one week: deposit $$50, withdrawal 30$$, deposit $$20, withdrawal 40$. What is the net change in the account?

Accepted Answer

$$-10$$

Question 6

Simplify: $$5(3y - 2) + (-15y).$$

Accepted Answer

$$-10y - 10$$

Question 7

Which of the following is an example of using the inverse property of addition?

Accepted Answer

$$a + (-a) = 0$$

Question 8

Find the sum: $$-12 + 7.$$

Accepted Answer

$$-5$$

Question 9

A mountain climber ascends 800 meters, descends 1200 meters, then ascends 600 meters. What is the total change in elevation?

Accepted Answer

$$-200$$ meters$

Question 10

Simplify the expression: $$4a + (-7b) + 2a + 5b.$$

Accepted Answer

$$6a - 2b$$

Question 11

Which rule is used to add $$-8 + (-5)$$?

Accepted Answer

Add the absolute values and use the common sign.

Question 12

A stock price changes as follows over five days: up $$3, down 5$$, up $$2, down 4$$, up $$1. $$What is the total change?

Accepted Answer

$$-3$$

Question 13

Simplify: $$-6x + 4x - 2x.$$

Accepted Answer

$$-4x$$

Question 14

Which property allows you to rearrange the grouping of numbers when adding, such as $$(a + b) + c = a + (b + c)$$?

Accepted Answer

Associative Property

Question 15

Evaluate: $$-2.5 + 4.7.$$

Accepted Answer

$$2.2$$

Addition of Real Numbers and Their Applications

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