Unit 2 Integers Practice Test

Evaluate. Draw colored tiles to show your work.

(+5) + (-8)

(+5) + (-8)

• +13

• -3

• -2

• +3

Answer explanation

The question is asking for the sum of +5 and -8. To solve this, add the two numbers together. Since 5 and 8 are different signs, you subtract the smaller number from the larger number and take the sign of the larger number, which is negative. Therefore, the answer is -3.

Evaluate. Draw colored tiles to show your work.

(-3) - (+7)

Calculate: (-3) - (+7)

• -10

• -2

• +10

• +3

Answer explanation

The question asks to subtract +7 from -3. When we subtract a positive number from a negative number, we essentially 'add' the absolute values of both numbers but keep the negative sign. This is because we are moving further away from zero on the number line. So, -3 - (+7) equals -10.

Evaluate. Draw colored tiles to show your work.

(-9) + (-1)

(-9) + (-1)

• -10

• -7

• +10

• -8

Answer explanation

The question is asking the sum of -9 and -1. The process of addition just combines both numbers. So, when you combine -9 and -1, it results in -10. Hence, the correct answer is -10.

Evaluate. Draw colored tiles to show your work.

(-6) - (-2)

(-6) - (-2)

• -10

• -4

• +8

• -8

Answer explanation

This is a question about understanding subtraction and negative numbers. When you subtract a negative number, it's like adding the absolute value of that number. So, (-6) - (-2) is equivalent to (-6) + 2. Adding -6 and 2 yields -4, which is the correct answer option.

Without calculating the sum, how can you tell if the sum of two integers will be zero?

• The integers are opposite.

• The integers are the same.

• Subtract them.

Answer explanation

The sum of two integers will be zero if they are opposite integers. This means if one integer is positive, the other should be an equal negative integer. For example, the integers +5 and -5 are opposites because their sum is zero. The other options do not necessarily yield a sum of zero, hence they are incorrect.

Without calculating the sum, how can you tell if the sum of two integers will be negative?

(Choose all the correct answers.)

• When both integers are negative.

• When one integer is positive and the other is negative, and the negative has a longer arrow on a number line.

• When both integers are positive.

• When one integer is positive and the other is negative, and the positive integer has a longer arrow on a number line.

Answer explanation

The sum of two integers will be negative if both integers are negative. If one integer is positive and the other is negative, the sum will be negative only if the absolute value of the negative integer is greater than the positive integer. This is represented by a longer arrow on a number line for the negative integer.