Translate That!
Order up & Evaluate
Name That Property
Absolute Values
Real-World Math & Rates
100

Translate this phrase into a numerical expression: "twenty less than the quotient of eighteen and 13.8"

What is 18 \div 13.8 - 20 (or \frac{18}{13.8} - 20) ?

100

What is the very first step you must take when using the order of operations to evaluate  7 - 3(5^3 + 1) \div 6 ?

What is simplifying the power/exponent  (5^3) ?

100

Which property shows that if 3a = 4b, then 4b = 3a?

What is the Symmetric Property of Equality?

100

What expression determines how far a student's score x% is from the class average test score of 78%?

What is |x-78| ?

100

Five friends attend a $12 painting class and each buy a lunch for d dollars. Write an expression for the total cost for all 5 friends.

What is  5(12+d) ?

200

Write an algebraic expression for "4.2 fewer than the product of 12 and a number x."

What is 12x - 4.2?

200

Evaluate the expression  5x^2 - 11x + 18  when x = -3.

What is 96?

200

Identify the property used to rewrite 

27 + 68 + 32 + 93 as 

27 + 93 + 68 + 32

What is the Commutative Property of Addition? 

(must specify "of Addition")

200

Evaluate  |m+n| and |-m+n| when m = -5 and n = 7.

What are 2 and 12?

200

Tonya hiked Trail A (2.4 mi) 5 times, Trail E (6.8 mi) 3 times, and Trail C (9.5 mi) once. What is the total distance she hiked?

What is 41.9 miles?

5(2.4)+3(6.8)+9.5

 

300

Translate this algebraic statement into words:  4.2 - (12 + x) 

What is "4.2 decreased by the quantity 12 plus a number"?

(or "4.2 minus the sum of 12 and a number")

300

Evaluate the expression   \frac{(-3a + 4b)^3}{|2c - 1|} 

when a = 4, b = 2, and c = 3. 

What is  -64/5 or -12.8 ?

300

If 15 + 3 = 8 + 10 and 8 + 10 = 18, then 15 + 3 = 18 by this property. 

What is the Transitive Property of Equality?

300

What is the value of  2^4+1/4|9x+2| 

when x = -2?

What is 20?

300

The average song length on in Mr. Alonzo's Spotify playlist is 3 minutes 56 seconds (3.93 minutes). About how many songs should he put on a playlist for a 2.5-hour flight?

What is 38 songs? (or approximately 38 to 40 songs) 

400

Give two different verbal expressions that describe  \frac{10}{3} + 4(9) 

What are "ten divided by three plus the product of four and nine" 

and 

"the quotient of ten and three increased by the product of four and nine"?

400

Evaluate

12^2 - 3[4(\frac{1}{4}) - (18)]

What is 195?

400

Which property allows you to expand  (3 1/2)(14) as  3(14)+1/2(14) ?

What is the Distributive Property?

400

Given the expressions  A: 2+|x^2-8|+10 and  B: 3x+7|4-15|-13 , determine which expression has the greater value when  x=2 .

What is Expression B?

(A = 16 and B = 70, so B is greater)

400

Monique buys 5 cans of dark red kidney beans ($0.69 each) and 5 cans of diced tomatoes ($1.29 each) for her chili. 

Write an expression using the Distributive Property to find the total cost, and evaluate it.

What is  5(0.69+1.29)=5(1.98)=$9.90 

Mental Math:  5(1.98)=5(2-0.02)=10-0.10=9.90 

500

A grocery store sells peaches for p dollars per bag and apples for a dollars per bag. Write an expression for the total cost of 3 bags of peaches and 10 bags of apples.

What is  3p + 10a ?

500

Determine if this statement is True or False: 

\frac{7^2 - 8(5) - 1}{8} + 12(1/12) = 1

What is False?

\frac{49 - 40 - 1}{8} + 1 = \frac{8}{8} + 1 = 2

500

Name the property used to simplify  (6x^2-9x-24)(2/3) down to  4x^2-6x-16 .

What is the Distributive Property?

500

Name two expressions that are algebraically equivalent to  |9-x| when x>9

What are |x-9| and |x| - 9 ?

500

Banks evaluate investment properties using the Price-to-Rent Ratio formula: 

 "Price-to-rent Ratio" = "Purchase Price"/"Annual Rent" 

Determine which property is the better investment (lower ratio):

Property A: Costs $120,000 with monthly rent of $1,000

Property B: Costs $180,000 with monthly rent of $2,000

What is Property B?

Property A: 10; Property B: 7.5

Property B has the lower ratio, making it a better investment