7th Grade Math Facts #2

Integers

100

Define integers

Positive and Negative numbers without fractions and decimals.

200

This integer best describes the scenario, "thirty feet below the surface of the ocean."

What is "-30?"

300

Double negatives form this.

What are "positives?"

400

Solve -5-(-12)

7

500

solve -|-2+3|

-1

Rational Numbers

100

Rational numbers can always be expressed as this.

What are "fractions?"

200

Solve -0.1+2.5

2.4

300

When multiplying a whole number to a fraction, all you need to multiply the whole number to is the...

What is "numerator?"

400

solve 

- 5/6 times 2/5 

- 1/3

500

Solve... -3/4 divide 1/2

- 1 1/2

Ratios, Rates, and Unit Rates

100

This is the constant multiple that relates proportional quantities x and y. It is the value of the ratio y/x and is represented by k.

What is the "constant of proportionality?"

200

This relationship is when all of the ratios that relate the quantities are equivalent.

What is "a proportional relationship?"

300

John can mow 12,000ft² in 2/3 hour. If the lawn is 36,000ft², how long will it take John to mow the entire lawn?

2 hours 

400

Buster and Roxy are dogs. Buster eats 20.5oz of food in 2 days while Roxy eats 22.5oz of food in 3 days. How much food Buster eat in 7 days?

71.75oz

500

A kangaroo rat jumps 5 times and travels 12 meters. A rabbit jumps 3 times and travels 8 meters. Who travels more per jump AND how many meters per jump is it?

Rabbit; 

2 2/3 meters per jump

Proportional Relationships

100

This equation represents a proportional relationship.

y=kx or k=y/x

200

If a bag of chips cost $5 each, write a proportional equation that represents this scenario.

y=5x

300

If a pizza restaurant has one large pizza cost $20, and two large pizzas for $38, and three large pizzas for $57. Does y=kx describe this situation?

No, there is no constant of proportionality.

400

For a graph to show a proportional relationship, the line must pass through...

What is "the point of origin?"

500

Fred was charged $300 after a year of subscribing to a streaming service. If he is charged $25 per month, was his yearly charge of $300 correct?

Yes, y=25(12) -> y=$300

More Percents

100

If you buy a shirt for 20% off the original price, what percentage are you paying for?

80%

200

This describes how much a quantity has changed relative to its original amount.

What it "percent change?"

300

This describes the accuracy of a measured or estimated value compared to an actual value.

What is "percent error?"

400

If a local furniture store pays $110 for a chest of drawers and sells it with a 40% markup. What is the selling price of the chest of drawers?

$154

500

You purchase a new PS5 for 10% off the original price of $300. Tax is 5%. How much are you spending on the PS5?

$283.50