多種多様なユーザーのニーズを促進するために、Applied-Algebraスタディガイドでは、現在最高の適用率を持つ3つのモデル（PDF、ソフトウェア、オンライン）を開発しました。別の名前のオンラインモードは、学習教材のアプリです。ブラウザ上のユーザー端末が、この学習モデルの教材をシミュレートするApplied-Algebraによって適用されたアプリケーションを実現できる限り、Webブラウザーに基づいて開発されます、ユーザーはアプリのリンクを開くだけで済み、Applied-Algebra学習教材の方法で学習コンテンツをリアルタイムですばやく開くことができます。
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Algebraic Expressions and Operations | 20% | - Variables, constants, and coefficients - Order of operations - Simplifying and evaluating expressions - Operations with polynomials |
| Topic 2: Graphing and Functions | 25% | - Linear functions and their graphs - Slope and equations of lines - Function notation and evaluation - Coordinate plane and plotting points |
| Topic 3: Linear Equations and Inequalities | 25% | - Real-world applications - Solving single-variable equations - Solving and graphing inequalities |
| Topic 4: Systems of Equations and Inequalities | 15% | - Applications of systems - Solving by substitution and elimination - Graphical solutions |
| Topic 5: Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Solving quadratic equations - Simplifying radical expressions - Properties of exponents |
ユーザーエクスペリエンスとクライアントのフィードバックを優先します。Applied-Algebra実践ガイドは、常にサービスを改善し、バージョンを更新してクライアントの利便性を高め、満足させるようにします。 Applied-Algebraトレーニング資料に関するクライアントの満足度は、前進を続ける原動力の源です。 Applied-Algebraガイド資料を理解できるようになりました。 Applied-Algebra認定に関する知識の主流の微妙な変更はすべてキャッチされ、利用可能なApplied-Algebra学習資料リソースの検索に最善を尽くします。
質問 # 129
The graph shows the number of people at an event venue after 3:00 p.m., in thousands.
Which rate of change is the greatest?
正解：B
解説：
This graph represents a logistic growth function, which has an S-shaped curve:
Slow growth at the beginning (near point A)
Rapid growth in the middle (near point B and C)
Slowing growth at the end (near point D)
Key Concept:
Instantaneous rate of change = slope of the tangent line at a single point Average rate of change = slope between two points Analyze the graph:
At point A # slope is small (slow increase)
From A to C # increasing but not maximum
At point C # curve is steepest # maximum slope
From C to D # curve flattens # smaller slope
At point D # slope is very small (almost flat)
Conclusion:
The greatest rate of change occurs where the graph is steepest, which is at:
" Point C "
質問 # 130
The graph shows the value, O, in dollars, of an investment account over time.
What represents the value of the account after 8 years?
正解：C
解説：
The graph shows the total value of an investment account as time increases.
The horizontal axis represents:
" Time in years "
The vertical axis represents:
" Total value in dollars "
We need to find the value of the account after:
8 " years "
From the graph, when t=8, the curve is slightly above $2,200. The closest answer choice is:
$2,221.12
So the value of the account after 8 years is approximately:
$2,221.12
Therefore, the correct answer is:
# ( " D " )
質問 # 131
A cart is being loaded with boxes, and each box has the same weight. After 4 boxes are loaded, the total weight of the boxes and cart is 116 pounds. After 9 boxes are loaded, the total weight is 161 pounds.
What is the weight of each box?
正解：B
解説：
This situation can be modeled with a linear relationship because each box has the same weight.
We are given:
4 " boxes " #116 " pounds "
and
9 " boxes " #161 " pounds "
The weight increases because more boxes are added.
First, find the change in total weight:
161-116=45
Then find the change in the number of boxes:
9-4=5
Since 5 additional boxes increased the total weight by 45 pounds, the weight of each box is:
45/5=9
So each box weighs:
9 " pounds "
Check:
If each box weighs 9 pounds, then adding 5 more boxes adds:
5(9)=45
116+45=161
This matches the given information.
質問 # 132
The graphed function v(t) represents the number of vehicles, v, stopped at a toll booth t hours after 6:00 a.m.
The coordinates of points A and B are (1,49.4) and (4,45.8), respectively.
What is the average rate of change of the number of vehicles from point A to point B?
正解：B
解説：
The average rate of change measures how much the output changes per one unit of input. Here, the input is time in hours after 6:00 a.m., and the output is the number of vehicles stopped at the toll booth. The two given points are A=(1,49.4) and B=(4,45.8). Use the average rate of change formula: (y
2
#y
1
)/(x
2
#x
1
). Substituting the coordinates gives (45.8#49.4)/(4#1). The numerator is #3.6, and the denominator is 3, so the average rate of change is #1.2. The negative sign means the number of vehicles decreased over the interval.
質問 # 133
The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.
What is the average rate of change of the wait time from point Ato point B?
正解：B
質問 # 134
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