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Exponents and PEMDAS
Evaluate Algebraic Expressions using Order of Operations
Write Algebraic Expression
Factor and Distribute
Number Properties: Equivalent Expressions
100
The bill with the greatest value ever printed in the United States had a value of 10^5 (ten to the fifth power) dollars. What is that dollar amount?
What is $100,000
100
The expression 180 x (n - 2) gives the sum of the measures of the angles, in degrees, of a polygon with n sides. What is the sum of the measures of the angles in a polygon with 10 sides?
What is 1,440 degrees.
100
There are 16 ounces in 1 pound. Write an expression that gives the number of ounces in pounds. Use p to represent pounds.
What is 16p.
100
A factored expression for 12x + 6
What is 2(6x + 3) or 6(2x + 1)
100
Micah buys 7 mystery books and 3 fantasy books. He writes the equation 7 + 3 = 3 + 7 to figure out how many books he buys. What property did Micah use?
What is commutative property.
200
J.J. is making a patio in his yard. He needs a total of 15^2 (fifteen squared) concrete blocks to cover the area. How many blocks does John need?
What is 225 blocks.
200
The expression 500v gives the number of points Collin earns for completing v voyages in a video game. How many points are earned for completing 8 voyages?
What is 4,000 points.
200
The length of a swimming pool is 5 feet shorter than twice the width. Let w represent the width. Write an expression that gives the length of the swimming pool.
What is 2w - 5.
200
Distribute 3(x+4)
What is 3x+12
200
Ian bought a basketball for $23, three baseball caps, and a pair of running shoes for $37. To find the total cost in dollars, he wrote 23 + 3d + 37 = 23 + 37 + 3d. Which property does the equation show?
What is commutative property. The order changed.
300
Which is a way to write 2 x 2 x 2 x 5 x 5 with exponents and two bases?
What is 2^3 x 5^2
300
The expression (p/20) x 4 gives the time in minutes that a person will have to wait to ride a roller coaster when there are p people in front of him or her. How long will Marly have to wait if there are 60 people in front of her?
What is 12 minutes
300
The price of a skateboard is $5 less than 3 times the price of a pair of knee pads. Let k represent the price of the knee pads. Write an expression that gives the price of the skateboard.
What is 3k - 5
300
Factor 2x-2
What is 2(x-1)
300
Brandon bought 6 packs of football cards, p packs of hockey cards, and 4p packs of baseball cards. Brandon wrote this number sentence to find the total number of cards he bought. (6 + p) + 4p = 6 + (p + 4p) Which property did he use?
What is Associative Property Of Addition
400
Mascie placed 2^4 (two to the fourth power) books onto each of 5 shelves. How many books did she place on the shelves in all?
What is 80 books.
400
The difference in meters, that Sydney runs during track practice is equal to 400t + 100s, where t is the number of laps and s is the number of sprints. How far does Sydney run when she does 3 laps and 8 sprints?
What is 2,000 meters
400
Caleb bought jeans for $16 each. Let j represent the amount of jeans Caleb bought. He gave the cashier $80. Write an expression to represent the amount of change Caleb will receive. (assuming he doesn not spend more than he has)
What is 80 - 16j
400
Factor 3x + 4x
What is x(3+4) or x(7)
400
A restaurant owner bought b large bags of flour for $45 each and b large bags of sugar for $25 each. The expression b (45 + 25) gives the total cost, in dollars, of the flour and sugar. Use the distributive property to rewrite this expression.
What is b x 45 + b x 25. *** 45b + 25b
500
Evaluate the expression. 4^2 + 3 (7 - 2) + 4
What is 35.
500
The formula P = 2 (l + w) gives the perimeter of a rectangle with length l and width w. What is the perimeter of a rectangular soccer field with a lenth of 120 yards and a width of 75 yards?
What is 390 yards.
500
On Saturday, Austin planted 10 rows of tomato plants with p plants in each row. On Sunday, he planted 6 rows of pepper plants with p plants in each row. Write an expression that gives the total number of plants Austin planted this weekend.
What is 10p + 6p = 16p
500
Fill in the blank: 2(2x + 3)=4x+ ______
What is 6
500
Use the distributive property to write an expression equivalent to 12b + 20y.
What is 4 x (3b + 5y)