Write That Expression
Evaluate That Expression
Identify That Property
Use That Property
Commutative, Associative, and Distributive Properties
100
Write the algebraic expression for:
The sum of three and seven divided by two
(3+7)/2
100
(8+3^3)/(12-7)
7
100
If 4 + 17 = 21, then 21 = 4 + 17
Symmetric
100
If 23 + 14 = 37, then 37 = 23 + ____
14
100
At a local school supply store, a highlighter costs $1.25, a ballpoint pen costs $0.80, and a spiral notebook costs $2.75. Use mental math and the Associative Property of Addition to find the total cost if one of each item is purchased.
4.80 dollars
200
Write the algebraic expression for:
20 divided by t to the fifth power
20/t5
200
3[4 – 8 + 42(2 + 5)]
324
200
x + 3 = x + 3
reflexive
200
b + 5 + 12 =________________
Reflexive Property of Equality
b+5+12
200
Felicity put down $800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will be $175. After 9 months, how much will she have paid for the car?
2375 dollars
300
Write the algebraic expression for:
the sum of six and fifteen divided by the difference of thirteen and three
(6+15)/(13-3)
300
(2t + 3g) ÷ 4
where g=2,t=-11
-4
300
6+0=6
Additive Identity Property
300
24+__ = 0
Additive Inverse Property
-24
300
The cost of a ski trip is shown. The Sanchez family wants to purchase lift tickets for 2 adults and 3 children. They also need to rent 2 complete pairs of skis. If they also buy a 16-ounce hot chocolate for each person, find the total cost of the ski trip.
270 dollars
400
It took Carrie five less minutes than twice the amount of time as Hua to complete her homework. It took Hua thirty-five minutes to complete her homework. Write a numerical expression to describe the amount of time it took Carrie to complete her homework.
2*35-5
400
5x – (y + 2z)
where x=6, y=8, z=3
16
400
3/17*17/3=1
Multiplicative Inverse Property
400
If 34 = 19 + 15, then 19 + 15 = ______
Symmetric Property of Equality
34
400
The triangular banner has a base of 9 centimeters and a height of 6 centimeters. Using the formula for area of a triangle, the banner’s area can be expressed as × 9 × 6. Gabrielle finds it easier to write and evaluate to find the area. Is Gabrielle’s expression equivalent to the area formula? Explain with properties.
Yes! Associative Property
500
The cost of bowling is $5 per player for shoe rentals and $45 per hour to book a lane. Suppose a group of f friends go bowling for h hours. Write an expression for the total cost for the group of friends to go bowling.
5f+45h
500
(a/b)^2-c/(a-b)
where a=8, b=4, c=16
0
500
If 6 + 2 = 4 + 4 and 4 + 4 = 8, then 6 + 2 = 8.
transitive
500
___ * 1 = 1017
Multiplicative Identity Property
1017
500
A theater has m seats per row on the left side of the aisle and n seats per row on the right side of the aisle. There are r rows of seats.
a. Explain how you can use the Distributive Property to write two different expressions that represent the total number of seats in the theater.
b. Suppose you double the number of seats in each row on the left side of the aisle. Does this double the number of seats in the theater? Use one of the expressions you wrote in part a to justify your answer.
a. rm+rn = r(m+n)
b. No! 2rm+rn does not equal 2(rm + rn)