Word Problems
Variables and Expressions
Order of Operations
Properties of Numbers
Number Systems
100
In Cook County Library's children's section there are 7 shelves and 4 tables. Each shelf and table displays 12 books. Write and evaluate an expression to find how many books are in the children's section.
12 (7+4) = 132
100
(Write an Algebraic expression and simplify) Three times the sum of x and y increased by twice the sum of x and y.
3(x + y) + 2(x +y) = 5x + 5y
100
Evaluate : 5 + [30-(6-1)]
30
100
Name the Property and find the value of n. n+9 = 9
Additive Identity, 0
100
Classify the number √4
Natural number
200
Demonstrate the Distributive Property by writing two equivalent expressions to represent the perimeter of a rectangle with dimensions x and y.
2x+2y, 2(x+y)
200
(Write an Algebraic expression and simplify) Twice the sum of y and z is increased by y.
2(y+z) + y = 2y + 2z + y = 3y + 2z
200
Evaluate: [8x2-(3+9)] + (8-2x3)
6
200
Name the Property and find the value of n. 5n= 1
Multiplicative Inverse, 1/5
200
Classify the number: 84/12
Natural Whole Integer Rational
300
The Plaid Taxi Cab Company charges $1.75 per passenger plus $ 3.45 per mile for trips less than 10 miles. Write and evaluate an expression to find the cost for Max to take a Plaid taxi 8 miles to the airport.
$1.75 + $3.45m, $1.75 + ($3.45 x 8) $ 29.35
300
(Write an Algebraic expression and simplify) Four times the product of x and y decreased by 2xy.
4(xy) - 2xy = 4xy - 2xy = 2xy
300
a=2, b=9, c=4, (b x c )⁄(a+b)
6
300
Name the Property and find the value of n. 12= 12 n
Multiplicative Identity, 1
300
Which is greater? (√8)^2 or √70
√70
400
The length of a rectangle is 3n+2 and its width is n-1. The perimeter of the rectangle is the sum of its length and its width. Write an expression that represents the perimeter.
2[(3n+2) + (n-1)]
400
(Write an Algebraic expression and simplify) 3 less than 5 times a number.
5n-3
400
4 + 8 x 3 - (10/5)
26
400
Rewrite the expression using the Distributive Property: 1/4 (16x-12y+4z)
4x - 3y + z
400
Name the set of numbers to which 3.145 belongs
Rational
500
Madison College conducted a three-day orientation for incoming freshmen. Each day, an average of 110 students attended the morning session and an average of 160 students attended the afternoon session. Write an expression that could be used to determine the total # of freshmen who attended the orientation. Then solve.
3(110 + 160) = f 3 x 270 = 810 freshman
500
(Write an Algebraic expression and simplify) The difference of 3 times the sum of b and c and the product of 2 and c
3(b + c) - 2c = 3b + 3c - 2c = 3b - c
500
(5)^2+ (3)^2 - (2 x 4) =
26
500
What property can you use to change the way three factors are grouped ?
Associative Property of Multiplication
500
Is the set of Irrational Numbers closed under Addition?
No
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