Rationals
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Proportions
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Algebra
100

-7 + (19)

What is 12?

100

This is the formula for Circumference of a circle.

What is C = ∏d ?

100

Solve the proportion 8 / k = 12 / 60

What is 40?

100

Express the ratio "15 out of 75 firefighters" in simplest form. 

What is 1/5 or 1:5 ?

100

This is the expression 

 5x + x + 12y - 20y

Simplified

What is 6x – 8y

200

-423 / (-3)

What is 141?

200

A tree casts a shadow that is 9 feet long. A 4-foot pole nearby casts a 3-foot shadow. How tall is the tree?

What is 12 feet?

200

Liam bikes 2.5 miles every 10 minutes. How many miles does he bike in 16 minutes?

What is 4 miles?

200

Rename 0.7 as a fraction in simplest form and as a percent. 

What is 7/10 and 70%?

200

Simplify 

3(b + 12)


What is 

3b + 36

300

21/40 + 1/5

What is 29/40?

300

A circular clock has a diameter of 12 inches. This is its area.

What is 452.16 in2 ?

300

A graph that shows a proportional relationship must have these two characteristics. 

What is:

1.) A straight line. 

2.) Passing through the origin. 

300

Rename 30% as a fraction in simplest form and as a decimal.  

What is 3/10 and 0.3?

300

In the expression 2x, 

2 is the ________ of x. 

What is

Coefficient?

400

3/8 X (-7/5)

What is (-21/40)?

400

Explain the rules for adding signed numbers.

What is...


For addends with the same sign, add the absolute values of the addends and keep the sign. 


For addends with different signs, subtract the absolute values and keep the sign of the addend with the greater absolute value. 


...?

400

Give an example of an equation that represents a proportional relationship between y and x. 

(Answer must be in the form y=kx)

400

Rename 3/5 as a percent and a decimal. 

What is 60% and 0.6?

400

Simplify

-2(d - 15)

What is 

-2d + 30

500

1/3 - 2/5 + (-6/10)

What is (-2/3)?

500

In "The Twelve Days of Christmas" song, if each day's gifts are cumulative, meaning you get the new gifts plus all the gifts from the previous days, adding up to 12 partridges, 22 turtle doves, etc,

How many total gifts are given?

What is

364

500

A smoothie recipe uses 1/3 cup of yogurt, 1/3 cup of berries, and 1/3 cup of juice per batch. How much yogurt is needed to make 6 cups of smoothie?

What is 2 cups?

500

A pack of 18 bottles of iced tea costs $20.88.  This is the unit price of a single bottle.

What is $1.16?

500

Simplify:

5c + 2(f +c) - 3c + 2h + 3(h + f)

What is:

4c + 5f + 5h