Algebra 1 GMAS Unit 1 & 2 Review

Which TWO statements explain the errors in the graph of the system of inequalities?

• The incorrect region is selected for the solution. Section A is the only solution because these points result in a revenue of more than $24,000.

• The lines of the graph of the inequality are incorrect. Both inequalities are represented by a solid line because the values of both lines are included in the solution.

• The incorrect region is selected for the solution. Section D is not included because these points result in a revenue of less than $24,000.

• The lines of the graph of the inequality are incorrect. The expected revenue is a dotted line and the number of ticket sales is a solid line.

• The incorrect region is selected for the solution. Section B is also included because these points result in a revenue of more than $24,000.

Which inequality could represent the graph shown?

• y > -4x – 3

• y < -4x – 3

• y ≥ -4x – 3

• y ≤ -4x – 3

• Inequality: The inequality to represent the game is written correctly. Graph: The graph of the inequality is incorrect because the boundary line should be dotted and does not represent possible solutions for the inequality.

• Inequality: The inequality to represent the game is written incorrectly because the coefficients for the variables were reversed. Graph: The graph of the inequality is incorrect because all values above the boundary line, including the boundary, are true for the inequality.

• Inequality: The inequality to represent the game is written incorrectly because the coefficients for the variables were reversed. Graph: The graph of the inequality is incorrect because the boundary line should be dotted and does not represent possible solutions for the inequality.

• Inequality: The inequality to represent the game is written correctly. Graph: The graph of the inequality is incorrect because all values above the boundary line, including the boundary, are true for the inequality.

A constraint x + y > 1 is given. Which statement is TRUE?

• The sum of the variables is greater than 1. A data point on the line is a solution to the constraint.

• The sum of the variables is greater than 1. A data point on the line is not a solution to the constraint.

• The sum of the variables cannot be greater than 1. A data point on the line is a solution to the constraint.

• The sum of the variables cannot be greater than 1. A data point on the line is not a solution to the constraint.

The constraint 4x + 3y ≤ 24 represents the possible numbers of large pillows, x, and small pillows, y, that will fit in a certain sized box. Which data point represents a possible solution for the constraint?

• (1, 5)

• (4, 3)

• (5, 2)

• (24, 24)

Consider the following inequalities. 4(3y – 4) ≥ 2(7y – 20) 10(y – 2) ≥ 2(3y – 16) Which is a valid solution to the set of inequalities?

• 15

• 8

• -3

• -12

Is (3,-4) a solution to this system?

• yes
• no

Pick the ordered pair that is NOT a solution

• (0,0)
• (1,-1)
• (2,0)
• (4,-4)

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 3
• y > 3x   and  y < -2x + 4

Solve the system of inequalities by graphing.

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