Equations
Inequalities
Vocabulary
Rational Numbers
BONUS
100

The computer teacher at a middle school spent $12,950 to buy a storage cart and 25 laptop computers. The total purchase is represented by this equation, where c stands for the cost of each laptop computer purchased. How much was the total amount spent?

What is 12, 950?

100

What is the solution set for this inequality?

-8x + 40 > 16


What is  x<3?

100

This property states that if the same amount is added to both sides of the inequality or equation, the mathematical statement is still true.

What is Additive Property?

100

Donna fed 1/11 of the chickens at a farm. Which decimal is equal to the fraction of chickens Donna fed?

What is 0.09 repeating?

100

Use a number line to answer the question. Which number is 4 units from -1?

What is 3?

200

 Which expression is equivalent to −8+(−2)?

- 8 - (2)

8 - (2)

8 - (-2)

-8 - (-2)

What is -8 - (2)?

200

What is the value of the variable x in the inequality 125x+200≥1,200?

What is x≥8?

200

This property states that if the same amount is multiplied to both sides of the inequality or equation, the mathematical statement is still true.

What is Multiplicative Property?

200

This expression can be used to find the price of a television that is on sale for 20% off the regular price of p dollars. 

p − 1/5p

What is another expression that can be used to find the sale price of the television?

0.20p

0.20p - p

0.80p

0.80p - p

 

What is 0.80p?

200

Select two expressions that are equivalent to 

-4.5 - 2(3x - 4).

a. 3.5 - 6x

b. 26 - 19.5x

c. - 12.5 - 6x

d. - 4.5 - 6x - 8

e. - 4.5 - 6x + 8

What are options a and e?

300

What is the solution to this equation??

2x + 10 = 28

What is x=7?

300

What would a number line that represents this inequality look like?

125x+200≥1,200


What is a closed circle on positive 8, with an arrow going to the right?

300

This vocabulary is the property of adding the same number with opposite signs and getting a sum of zero.

What is Additive Inverse Property?
300

 Jeremy swims at a rate of 1/3 mile every 1/6 hour. At this rate, how many miles will Jeremy swim in 1 hour?

What is 2 miles?

300

Use the coordinate grid below to answer the question.

What are the coordinates of point J?

a. (0, 3) 

b. (–3, 0) 

c. (3, 0) 

d. (0, –3) 

What is (0, -3)?

400

Fatima paid for 5 pallets of grass to be delivered.

  • Each pallet of grass cost $129.95.
  • Fatima paid $76.20 for delivery.

What is the total amount Fatima paid?

What is $725.95?

400


Chico is saving for new shoes that cost $87. He already has $9 saved, and he will save the same amount each week. Chico wants to buy the shoes in 6 weeks. The inequality shown below can be used to determine x, the amounts that Chico can save each week and still buy the new shoes in 6 weeks.

9 + 6x ≥ 87

What does the variable in this inequality represent?

 

What is the amount Chico will save each week?

400

This vocabulary term is a value or value which, when substituted for a variable in an equation, makes the equation true.

What is a solution?

400

Diana had a coupon for c dollars off of each box of crackers. Diana bought 2 boxes of crackers for 4.50 – c dollars each. She also bought 8 cans of soup for s dollars each. The total amount, in dollars, she spent on the cans of soup and boxes of crackers is represented by the expression below.

2(4.50−c)+8s

What can you do to simplify this expression and create an equivalent expression?

 

What is use the distributive property?

400

A small submarine started its dive at sea level and descended 30 feet per minute. Which integer represents the submarine’s depth after seven minutes?

What is -210 ft?

500

The computer teacher at a middle school spent $12,950 to buy a storage cart and 25 laptop computers. The total purchase is represented by this equation, where c stands for the cost of each laptop computer purchased.

25c+450=12,950

What was the cost of each laptop computer that the teacher purchased?

 

What is c = 500

500

Chico is saving for new shoes that cost $87. He already has $9 saved, and he will save the same amount each week. Chico wants to buy the shoes in 6 weeks. The inequality shown below can be used to determine x, the amounts that Chico can save each week and still buy the new shoes in 6 weeks.

9 + 6x ≥ 87

What is the least amount Chico can save each week and still buy the new shoes in 6 weeks?

 

What is $13?

500

This vocabulary word defines the distance between any integer and 0, and because of this, the answer is always positive.

What is absolute value?

500

Diana had a coupon for c dollars off of each box of crackers. Diana bought 2 boxes of crackers for 4.50 – c dollars each. She also bought 8 cans of soup for s dollars each. The total amount, in dollars, she spent on the cans of soup and boxes of crackers is represented by the expression below.

2(4.50−c)+8s

Which expression also represents the total amount, in dollars, she spent?

 6.50 - 2c + 8s

6.50 - 2c + 10s

9 - c + 8s

9 - 2c + 8s

What is 9 - 2c + 8s?

500

Fill in the blanks: Equations have __________ solution; inequalities have ___________ solutions.

What is one;many?