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Order of Operations
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Word Problems
100
7 + 2(9-3)
19
100
Evaluate and name the properties used. 8 x 0.5 x 5
8 x 0.5 x 5 = (8 x 5) x 0.5 Commutative/Associative = 40 x 0.5 Substitution = 20 Substitution
100
Solve the equation. a = 24 - 7(3)
3
100
Is the following mapping a function? explain.
No, it is not a function because.
100
Translate the following verbal expression into an algebraic one and then simplify! the sum of six and x decreased by the product of two and x
What is (6 + x) - 2x = 6 -x
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
Given the relation: {(1,2) , (3, -2), ( 2, 6) , ( -1, -2)} a. what is the domain and range? b. Is the relation a function? explain.
a.domain = {1,3,2,-1} range = {2, -2, 6, -2} b. Yes because each number in the domain is paired with only one number in the range.
200
Translate the following algebraic expression into a verbal one (you may not use the word "minus") 3x^2 - 15
the product of 3 and x sqaured decreased by 15
300
Evaluate each expression if a=4 and c=9. c + 3a
21
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
Find the solution set if the replacement set is y:{6,8,10,12,14} 4y = 32
8
300
If f(x) = -2x^2 + 4, what is f(-3).
f(-3) = -2(-3)^2 + 4 = -2(9) + 4 = -18 + 4 = -14
300
On average, 7 plants grow for every 10 seeds of a certain type planted. Make a table to determine the domain and range to show the relationship between seeds planted and plants growing for 50, 100, 150 and 200 seeds.
Domain Range 50 35 100 70 150 105 200 140
400
Evaluate each expression if a=4, b=3 and c=9. (a^2 + 2bc) ÷ 7
10
400
Use the Distributive Property to solve. -2(5-3)
-2(5) - (-2)(3) -10 - (-6) -10 + 6 -4
400
Find the solution set if the replacement set is y:{6,8,10,12,14} 42/y = 7
6
400
If f(x) = x^2 - 5, what is 2[f(-1)] + 3
f(-1) = (-1)^2 -5 = 1 - 5 = -4 2[-4] + 3 = -8 + 3 = -5
400
The equation y = 10 + 2x represents the cost to join the art club per month. (x represents the number of art projects done in a month). a. write the equation in function notation. b. explain what the domain and the range represent. c. Find f(3). what does this value represent?
a. f(x) = 10 + 2x b. domain = the number of art projects range = cost per month c. f(3) = 10 + 2(3) = 16 it costs $16 for this month.
500
One-scoop sundae is $2.75 and two-scoop sundae is $4.25. Find the total cost of a 3 one-scoop sundaes and 2 two-scoop sundaes.
$16.75
500
Rewrite using the Distributive Property and simplify. -4(5 - 2t)
-4(5 - 2t) = -4(5) - (-4)(2t) = -20 - (-8t) = -20 + 8t
500
Shandra's age is four more than three times Sherita's age. Write an equation for Shandra's age. Solve if Sherita is 3 years old.
3K + 4 = E If Sherita is 3, then Shandra is 13
500
If f(x) = -3x - 10, and g(x) = x^2, what is f(m + 2) + g(-1)?
f(m + 2) = -3(m + 2) - 10 g(-1) = (-1)^2 = -3m -6 - 10 = 1 = -3m - 16 f(m+2) + g(-1) = -3m - 16 + 1 = -3m -15
500
The average math test scores f(t) for 17 year olds is represented by the function f(t) = .8t + 72 where t represents the average science test score. a. what is the domain and range of this function? b. what is the science score that corresponds to a math score of 308?
a. domain is the science scores range is the math scores b. f(308) = .8(308) + 72 = 295