Integer Operations

At 6 a.m., the temperature was –12°C. By 9 a.m., the temperature had risen by 8°C. By noon, the temperature was double what the temperature had been at 9 a.m.

What two operations do you need to use to find the temperature at noon?

• addition and subtraction

• addition and multiplication

• division and addition

• multiplication and subtraction

A submarine started the day at 1200 feet below sea level. The submarine rose 60 feet per hour during a 3-hour period.

Which expression represents the new position of the submarine in relation to sea level?

• –1,200 – 3(60)

• –1,200 + 3(60)

• 1,200 – 3(60)

• 1,200 + 3(–60)

Tags

CCSS.6.NS.C.5

The low temperature on Monday was 16°F. On Tuesday, the low was 18°F cooler. On Wednesday, the low temperature was –4 times Tuesday’s low.

Which of the following expressions can be used to describe the low temperature on Wednesday? Select all that apply.

• 16 + (–18)(–4)

• 16(4) + (–8)

• (16 – 18)(–4)

• [16 + (–18)](–4)

A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch a larger fish. Which expression represents the sea lion’s position in relation to sea level?

• 3(25) – 10

• 25 – 3(10)

• 3(–25) – 10

• 3(–25) – (–10)

A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes.

What expression represents the new position of the submarine in relation to sea level?

• –5(12) + 1,260

• –1,260 + (–5)(12)

• –1,260 + (5)(12)

• 1,260 – (–5)(12)

Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?

• Add -15 and 9.

• Divide 4 by -15.

• Subtract 4 from 3.

• Multiply 9 by 3.

Which of the following expressions demonstrates the distributive property?

• 3 + 4 + 5 = 4 + 3 + 5

• -2(5 + 7) = -2(7 + 5)

• 3(-8 + 1) = 3(-8) + 3(1)

• 6[(7)(-2)] = [(6)(7)](-2)

Which of these expressions have negative values? Select all that apply.

• 2 + 2(-3)(7)

• -2(27 ÷ 9)+4

• (14 ÷ -2)(-6)

• (4 - 10) - ( 8 ÷ ( -2))

Evaluate

• -15

• -6

• -1

• 6

Complete this expression using the distributive property:

5(4 + 8) =

• (5 + 4)(5 + 8)

• 5(4) + 8

• 5(4) + 5(8)

• (5 + 4) + (5 + 8)