Systems of Equations Tables, Graphs, Equations

What is the value of the y-coordinate of the solution to the system of equations x - 2y = 1 and x + 4y = 7?

• -1

• 1

• 3

• 4

Tags

CCSS.HSA.REI.C.9

• There are infinite solutions to the system since there are infinitely many integers whose sum is 7.

• There is no solution to the system since there is no solution that would satisfy both equations.

• The two solutions are (3, 4) and (10, 8).

• There is exactly one solution to the system that satisfies both equations.

• The solution to the equation is (32, -25).

Tags

CCSS.8.EE.C.8B

Seana and Mikayla sold tickets to the school play. Seana sold 3 adult tickets and 2 student tickets for $84. Mikayla sold 2 adult tickets and 5 student tickets for $100. How much did a student ticket cost?

• $12

• $20

• $36

• $44

Tags

CCSS.8.EE.C.8C

The graph represents a system of linear equations. Write an equation in slope-intercept from (y=mx+b) of the red line.

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

The graph represents a system of linear equations. Write an equation in slope-intercept from (y=mx+b) for the green line.

Mathematical Equivalence

ON

The graph shows a system of equations. The slope of the two lines is (a)   . The y-intercept of the green line is ​ (b)   and the red line is ​ (c)   . The lines are ​ (d)  

• parallel

• perpendicular

• zero

• undefined

Answer explanation

The slope of both lines is 1, indicating they are parallel. The y-intercept of the green line is 4, and the red line is -7. Since the slopes are equal, the lines do not intersect.

Tags

CCSS.8.EE.C.8B

The two tables represent a system of linear equations. Choose the two equations that represent the system.

Answer explanation

The equations y=-\frac{5}{2}x+2 and y=-\frac{9}{2}x+6 are correct as they represent the slopes and intercepts that match the given system of linear equations, while the others do not.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Choose the two equations that represent the system of the equations on the graph.

Answer explanation

The equation x=5 represents a vertical line at x=5. The equation y=-2x+8 is a line with a negative slope that intersects the y-axis at 8. Together, they form the system of equations shown in the graph.

Tags

CCSS.HSA.REI.C.7

Which system of equations is represented by tables?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which linear inequality matches the graph.

Tags

CCSS.HSA.REI.D.12