Order of Operations
Properties
Mixed Review
Relations & Functions
Variables and Expressions
100
7 + 2(9-3)
19
100
Evaluate using the Distributive Property: 30 (3 1/3)
30(3) + 30 (1/3) =90 +10 = 100
100
What Property is displayed? 4 (3 x 2) = (4 x 3) 2
Associative PRoperty of Multiplication
100
Is the following relation a function? yes or no? if no, tell why. {(4,5), (3,-2),(-2,5),(4,7)}
no, 4 is mapped to both 5 and 7
100
write an algebraic expression for the following verbal expression: 3 more than 5 times a number, x
3 + 5x
200
[(2^5 - 5) ÷ -9]11
-33
200
Evaluate and name the properties used. (16 - 4^2) + 9
(16 - 4^2) + 9 = 16 - 16 + 9 Substitution = 0 + 9 Additive Inverse = 9 Additive Identity
200
Find the solution set if the replacement set is y:{6,8,10,12,14} y - 9 = 3
12
200
Express the relation as a table, a graph and a mapping.. Is this relation a function? why or why not? {(5,2), (5,6) , (3, -2), (0,-2)}.
no, 5 is mapped to more than one number
200
Write a verbal expression for the algebraic expression: 2/3 r^4 - 5
two thirds times r to the fourth power minus 5
300
Evaluate each expression if a=4, b=3 and c=9. (a^2 + 2bc) ÷ 7
10
300
Evaluate and name the properties used. 18 x 3(1 ÷ 3)
18 x 3(1 ÷ 3) = 18 x 3(1/3) Substitution = 18 x 1 Multiplicative Inverse = 18 Multiplicative Identity
300
What property is displayed? a. 4 x (1/4) = 1 b. 5 + 0 = 5
a. Multiplicative Inverse b. Additive Identity
300
If f(x) = 2x + 4, what is f(-3).
f(-3) = 2x + 4 = 2(-3) + 4 = -6 + 4 = -2
300
Mr. Ahmad purchased groceries that cost x dollars. He paid with a $100 bill. Write an expression for the amount of change that he will receive.
100 - x
400
108 / [3(9+3^2)]
2
400
Use the Distributive Property to solve. -2(5-3)
-2(5) - (-2)(3) -10 - (-6) -10 + 6 -4
400
A bus ride costs 25$ per person. If 5 men and 4 women ride in one day, write an expression using the distributive property to describe the situation. Then evaluate it.
25( 5 + 4) = 25(5) + 25(4) = 125 + 100 = 225$
400
If g(x) = x^2 + 3, Find: a. g(-1/2) b. 3[g(2)] - 10
a. (-1/2)^2 + 3 = 1/4 + 3 = 13/4 = 3 1/4 b. 3[7] -10 = 21 -10 = 11
400
Write an algebraic expression for the verbal expression: 5 decreased by the quotient of r and 10
5 - r/10
500
Evaluate: 25 + [(16 - 3x5) + (12+4)/2^2]
25 + [(16 - 3x5) + (12+4)/4)] 25 + [(16 -15) + 16/4] 25 + [1 + 4] 25 + 5 = 30
500
Rewrite using the Distributive Property and simplify. -4(5 - 2t)
-4(5 - 2t) = -4(5) - (-4)(2t) = -20 - (-8t) = -20 + 8t
500
Write an algebraic expression for the verbal expression. Then simplify indicating the properties used. 4 times the difference of x squared and 3, increased by 2 times the sum of x squared and 3
4 (x^2 - 3) + 2 (x^2 + 3) =4x^2 -12 + 2x^2 + 3 Distributive PRoperty =4x^2 + 2x^2 -12 + 3 Commutative Property of Add = 6x^2 - 9 Substitution
500
Samar runs at an average rate of 6 miles per hour. a. Write an expression to represent how many miles she runs in x hours. b. Choose three values for x. Make a table with x and the number of miles she runs. c. What is the domain and the range? d. What is the dependant and the independant variables?
a. 6x b. x y 1 6 2 12 3 18 c. Domain = {1,2,3} Range = {6,12,18} d. Dependant = number of miles independant = number of hours
500
If Sana makes x dollars per hour babysitting and y dollars per hour tutoring, write an expression that describes her earnings if she babysat for 10 hours and tutored for 15 hours.
10x + 15y
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