Algebra 1 Quiz 5.2

  • CCSS.Math.Content.HSA-REI.B.3
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1) Tell whether the ordered pair is a solution of the given system.left parenthesis 1 comma space 0 right parenthesis space open curly brackets table attributes columnalign left end attributes row cell y greater than 3 x end cell row cell y greater than 3 x plus 1 end cell end table close

Explanation

The given answer "no" indicates that the ordered pair is not a solution of the given system. However, without the context of the system or any additional information, it is not possible to provide a specific explanation for why the ordered pair is not a solution.

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About This Quiz
Algebra 1 Quiz 5.2 - Quiz

Algebra 1 Quiz 5.2 assesses understanding of linear inequalities. Students identify solutions to inequalities and interpret graphs to determine represented inequalities. This quiz enhances problem-solving skills and algebraic reasoning, crucial for academic progression in mathematics.

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2) Write a system of linear inequalities to represent the graph below.

Explanation

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3) Write a system of linear inequalities to represent the graph below.

Explanation

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4) What is the solution to t​he system of equations graphed below?

Explanation

The solution to the system of equations graphed below is (3, 2). This is the point where the two lines intersect. The coordinates (3, 2) satisfy both equations simultaneously, making it the solution to the system.

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5) Write a system of linear inequalities to represent the graph below.

Explanation

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6) Which of the following describes the graph of y > –2x + 5?

Explanation

The given inequality is y > -2x + 5. In this case, the boundary line is represented by y = -2x + 5. Since the inequality is a strict inequality (y >), the boundary line is dashed. The shading is above the line because the solution set consists of all the points that are greater than the y-values on the line.

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7) Tell whether the ordered pair is a solution of the given system.left parenthesis 0 comma space 0 right parenthesis space open curly brackets table attributes columnalign left end attributes row cell y greater than minus x minus 1 end cell row cell y less than 2 x plus 4 end cell end table close

Explanation

The explanation for the given correct answer is not available as the question and options provided are incomplete and unclear.

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8) Linda works at a pharmacy for $15 an hour.  She also baby-sits for $10 an hour.  Linda needs to earn at least $90 per week, but she does not want to work more than 20 hours per week.  Write a systems of linear inequalities that could be used to describe the number of hours Linda could work at each job to meet her goals.

Explanation

Let x be the number of hours Linda works at the pharmacy and y be the number of hours she babysits. The total amount of money she earns from the pharmacy is 15x and from babysitting is 10y. To meet her goal of earning at least $90 per week, the inequality is 15x + 10y ≥ 90. To ensure she does not work more than 20 hours per week, the inequality is x + y ≤ 20. Therefore, the system of linear inequalities is 15x + 10y ≥ 90 and x + y ≤ 20.

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9) Which inequality is best represented by the graph below?

Explanation

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10) Which of the following describes the graph of y < –4?

Explanation

The inequality y

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11) Which inequality is represented by the graph below?

Explanation

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12) Which point is a solution of the inequality y > 2x + 3

Explanation

The point (–3, 6) is a solution to the inequality y > 2x + 3 because when we substitute x = –3 and y = 6 into the inequality, we get 6 > 2(-3) + 3, which simplifies to 6 > -6 + 3, and further simplifies to 6 > -3. Since 6 is indeed greater than -3, the point (–3, 6) satisfies the inequality.

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13) Which point is a solution of the inequality y less or equal than 1 half x minus 5?

Explanation

The point (6, -2) is a solution of the inequality because when we substitute the x-coordinate (6) and the y-coordinate (-2) into the inequality, it satisfies the inequality.

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14) Which graph represents the solutions to the given system?open curly brackets table attributes columnalign left end attributes row cell 3 x plus 2 y greater or equal than 2 end cell row cell x minus y less than 3 end cell end table close

Explanation

not-available-via-ai

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15) What must be true of the boundary lines in a system of two linear inequalities if there is no solution of the system?

Explanation

If there is no solution to a system of two linear inequalities, it means that the two inequalities do not intersect or overlap. In order for two lines to not intersect, they must be parallel to each other. Therefore, the correct answer is that the boundary lines must be parallel.

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16) Which of the following describes the graph of x greater or equal than 3?

Explanation

The graph described in the answer choice means that the boundary line is a solid line and the shading is on the right side of the line. This indicates that the solution to the inequality represented by the graph is all the points on the right side of the line, including the line itself.

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17) Which point is a solution of the inequality 3x – 2y < –10

Explanation

The point (–4, 2) is a solution of the inequality 3x – 2y

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18) Which point is NOT a solution of the inequality y < –x + 3

Explanation

The point (4, -1) is not a solution of the inequality y

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19) Which inequality is best represented by the graph below?

Explanation

correct answer: y less or equal than minus 3 x plus 1

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Tell whether the ordered pair is a solution of the given system.
Write a system of linear inequalities to represent the graph below.
Write a system of linear inequalities to represent the graph below.
What is the solution to t​he system of equations graphed below?
Write a system of linear inequalities to represent the graph below.
Which of the following describes the graph of y > –2x + 5?
Tell whether the ordered pair is a solution of the given system.
Linda works at a pharmacy for $15 an hour.  She also baby-sits...
Which inequality is best represented by the graph below?
Which of the following describes the graph of y < –4?
Which inequality is represented by the graph below?
Which point is a solution of the inequality y > 2x + 3
Which point is a solution of the inequality ?
Which graph represents the solutions to the given system?
What must be true of the boundary lines in a system of two linear...
Which of the following describes the graph of ?
Which point is a solution of the inequality...
Which point is NOT a solution of the inequality...
Which inequality is best represented by the graph below?
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