Integer Operations

Front

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?

Back

addition and multiplication

Front

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?

Back

–1,200 + 3(60)

Front

Sea lion's position in relation to sea level if a seal went 25 feet below sea level and a sea lion dove 10 feet less than three times as deep as the seal.

Back

3(–25) – (–10)

Front

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? Options:

–5(12) + 1,260

,

–1,260 + (–5)(12)

,

–1,260 + (5)(12)

,

1,260 – (–5)(12)

Back

–1,260 + (–5)(12)

Front

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

Back

Add -15 and 9.

Front

Which expression demonstrates the distributive property? Options: 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)

Back

3(-8 + 1) = 3(-8) + 3(1)

Front

Evaluate

Back

6

Front

Complete this expression using the distributive property: 5(4 + 8) =

Back

5(4) + 5(8)

Front

What was Michael’s mistake in his examples of the identity property of addition and multiplication?

Back

He should have added 0 to 8 and multiplied 1 by 8.

Front

Analyze the steps of 11 + (3)(9) to find the error:

Step 1: 11 + (9)(3)

Step 2: (11 + 9)(3)

Step 3: 20(3)

Step 4: 60

Back

In Step 2, the associative property cannot regroup addition and multiplication.