Math Wars Day 1

Adding and Subtracting Rational Numbers

100

What is the absolute value of negative 8.9

8.9

200

-4 + (-7)

-11

300

Find the sum, answer as a decimal.

6 + 4/5 + (-2.5)

4.3

400

Find the sum, answer as a improper fraction or mixed number. 

5 1/3 + 7.5 + (-3 1/6)

29/3 or 9 2/3

500

Your water bottle is 5/6 full. After tennis practice, the bottle is 3/8 full. How much of the water did you drink? Answer as a fraction. 

You drank 11/24 of the bottle

Multiplying and Dividing Rational Numbers

100

Find the product, write your answer as a simplified fraction. 

8/9 * 6/7

16/21

200

Find the product. 

3(-2 + 4)

6

300

Evaluate the expression

-4(3² - 8) +1

-3

400

Evaluate the expression. 

24 / (-4) + (-2) * (-5)

4

500

Find the product, write your answer as a simplified fraction.

(-1/7 * 4/5) * (-7) * (-1/2)

-2/5

Expressions

100

Simplify the expression. 

4a - 9a + 6.2b + 8b

14.2b - 5a or -5a + 14.2b

200

Evaluate the expression when x = 2

-8x + 5 -2x + 5x

-5

300

Find the sum. Write your answer with the x term first, the y term second, and the constant third. 

(7/4x - 5) + (2y - 3.5) + (-1/4x + 5)

3/2x + 2y - 3.5

400

Find the difference. Write your answer with the q term first, the s term second, and the constant third. 

(1 - 5q) - (2.5s +8) - (0.5q + 6)

-5.5q - 2s - 13

500

Factor the expression. 

21m - 49n

7(3m - 7n)

Equations and Inequalities

100

Solve for p.

p - 3 1/6 = -2 1/2

p = 2/3

200

Solve for y. Write your answer as an improper fraction. 

26 = -8/5y

y = -208/5

300

Solve for p. Write your answer as an improper fraction. 

-4(p - 9/4) = -5

p = 89/4

400

Tell whether the given value is a solution of the inequality. 

p + 1.4 < 0.5 

When p = 0.1

No 

500

Solve the inequality. 

-4.5 > m/6

m < -27 or -27 > m

Ratios and Proportions

100

A nutrition label shown that every 1/4 cup of tuna has 1/2 gram of fat. Find the unit rate of grams of fat per cup of tuna. 

There are 2 grams of fat for every cup of tuna. 

200

Tell whether these ratios make a proportion using cross products. 

6:9 and 12:18

Yes because 108 = 108

300

Find the value of x so that the ratios 3:8 and x:20 are equivalent. 

Hint: Use cross products. 

x = 7.5

400

What point does a line on a graph need to hit to know that it is proportionate. 

The origin or (0,0) 

500

A map of Central Park is drawn for every 1 cm is equivalent to 320 miles. If the map is 30 cm wide what is the actual width of Central Park? 

960 miles