math prodject

Rational Numbers & Operations

100

– 1/4+1/2

3/4

200

−3/8+1/4

-1/8

300

5/6−7/12

3/12 or 1/4

400

−2/3−5/9

−11/9=−1 2/9

500

7/10−(−9/20)

23/20=1 3/20

Multiplying & Dividing Positive/Negative Fractions

100

2/3×3/4

1/2

200

−5/6×2/5

-1/3

300

7/8÷1/4

7/2 or 3/5

400

−9/10÷−3/5

3/2 or 1.5

500

(−49)×(15−8)

5/6

Positive & Negative Integers (All Operations)

100

−7+12

5

200

−6×−4

24

300

48÷−6

-8

400

Evaluate: −3(5−9)

12

500

Evaluate: −18−(−25)+7

14

Evaluating Expressions

100

Evaluate: 3x 

 x=4

12

200

Evaluate: 2a−5 

 a=−3

-11

300

Evaluate: 12b+4 

 b=10

9

400

Evaluate: −2(x−3)+5 

 x=−1  

13

500

Evaluate: 34y−23 

 y=−8

−20/3

Real‑World Rational Number Problems

100

A temperature rises from −2∘ to 6∘. What is the change?

8 degrees

200

you owe $15 and pay back $9. What is your new balance?

-6 dollars

300

A rope is 12.5 ft long. You cut off 3.75 ft. How much remains?

8.75 ft

400

A hiker climbs 1.8 miles uphill and then descends 2.3 miles. What is the net change?

-0.5 miles

500

A tank holds 412 gallons. You use 34 gallon three times. How much is left

2.25 gallons