Module 4 Review 7th Grade HMH

Integer Operations

100

What is -7 + 12?

5

200

Calculate 14 - (-6) using an algorithum.

20

300

Solve −4−9 and explain why the answer is reasonable.

-13 (the answer is reasonable because adding a larger negative to -4 decreases the value further.)

400

What is -3 + 3? Describe the situation.

0 (Opposite quantities combine to make 0)

500

Calculate -10 + (-15) using an algorithum and assess its reasonableness

-25 (Reasonable because adding two negatives results in a more negative value.)

Communative Property

100

True or False: The order of numbers in addition does not affect the sum.

True

200

Rewrite 7 + (−5) using the Commutative Property of Addition.

-5 + 7

300

Does -4 + 9 = 9 + (-4)? Why or why not?

Yes, because of the Communative Property of Addition.

400

Use the Communative Property to rearrange and solve -2 + 6 + (-4).

6 + (-2) + (-4) = 0

500

Apply the Commutative Property to simplify −8 + 12 + (−3)

12 + (−8) + (−3) = 1

Rational Numbers

100

Convert -3/4 to a decimal 

-0.75

200

Add -2/5 + 7/5

5/5 = 1

300

Subtract 5/6 - 11/6

-6/6 = -1

400

Convert the decimal -2.375 into a fraction and simplify. 

-19/8 or -2 3/8

500

Apply properties of operations to calculate -2.5 + 3.8 - 1.2

0.1

Real-World Problems

100

A hiker starts at −50 ft below sea level and climbs 120 ft. What is the final elevation?

70 ft

200

The temperature was 15∘C and dropped 22∘C . What is the final temperature?

-7∘C 

300

A diver descends 40 ft, then ascends 15 ft, and finally descends 10 ft. What is the diver's final depth?

-35 ft

400

A person earns $50, spends $72 and earns $25 more. What is their total balance?

$3

500

The temperature was -12∘C. It increased by 8∘C, then decreased by 14∘C. What is the final temperature?

-18∘C 

Assessing Reasonableness

100

Is the result of 4 -(-3) greater than, less than, or equal to 4?

Greater than (7)

200

Estimate: -23.8 + 15.3. Is the sum close to -10 or 0?

Closer to -10

300

Is 6 + (-15) = 21 reasonable? Why or why not?

Not reasonable. The correct answer is -9

400

Evaluate -10/2 + 4 and explain if the answer is reasonable. 

-1 (Reasonable because dividing a negative and adding a smaller positive results in a small negative value.)

500

A student calculates -3 + 7 - 4 = 6. Is this answer correct? Explain.

No, the correct answer is 0. The mistake was in adding -3 + 7.