Mastering Systems of Equations and Inequalities

Solve the system of equations: 3x + 2y = 6 x - y = 0

• x = 1, y = 1

• x = 2, y = 2

• x = 1, y = -1

• x = -1, y = 1

Tags

CCSS.HSA.REI.C.6

Which ordered pair is a solution to the following system of equations? x + y = 3 2x - y = 0

• (1, 2)

• (2, 1)

• (3, 0)

• (0, 3)

Tags

CCSS.HSA.REI.C.6

Graph the system of inequalities and select the correct description of the solution set: y > 2x + 1 y ≤ -x + 4

• The solution set is the area above the line y = 2x + 1 and below the line y = -x + 4.

• The solution set is the area below the line y = 2x + 1 and above the line y = -x + 4.

• The solution set is the area above both lines y = 2x + 1 and y = -x + 4.

• There is no solution set for this system of inequalities.

Tags

CCSS.HSA.REI.D.12

Solve the system of equations by substitution: y = 3x - 7 2x + y = 4

• x = 3, y = 2

• x = -3, y = -16

• x = 5.5, y = 9.5

• x = 3.5, y = 3

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Which of the following is the graph of the inequality y < 2x - 3?

• A line with a slope of 2 and y-intercept of -3, shaded below the line.

• A line with a slope of -2 and y-intercept of 3, shaded above the line.

• A line with a slope of 2 and y-intercept of -3, shaded above the line.

• A line with a slope of -2 and y-intercept of 3, shaded below the line.

Tags

CCSS.HSA.REI.D.12

Solve the system of equations using any method: 4x - y = 11 x + 2y = -1

• x = 1, y = -3

• x = 3, y = 1

• x = -1, y = 1

• x = 1, y = 3

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Which of the following points is a solution to the system of inequalities? x + y < 5 x - y > 1

• (2, 1)

• (3, 1)

• (4, 0)

• (3, 3)

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

Solve the system of equations: 2x + 3y = 12 5x - 3y = 3

• x = 3, y = 2

• x = 2, y = 3

• x = 1.5, y = 3

• x = 3, y = 1.5

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Graph the inequality and select the correct description of the graph: x - 2y ≥ 4

• A line with a slope of 1/2 and y-intercept of -2, shaded above the line.

• A line with a slope of -1/2 and y-intercept of 2, shaded below the line.

• A line with a slope of 1/2 and y-intercept of -2, shaded below the line.

• A line with a slope of -2 and y-intercept of 4, shaded above the line.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve the system of equations by elimination: 3x + 4y = 11 6x - 4y = 2

• x = 2, y = 1

• x = 1, y = 2

• x = 3, y = 0

• x = 0, y = 3

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6