System of Equations Review

Which of the following equations would not contain the point (4, 12)?

• $y=\frac{3}{4}x+9$

• $y=-\frac{1}{2}x+14$

• $y=\frac{1}{2}x+8$

• $y=-2x+20$

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The equation y = -7x – 5 and another equation have a solution of (-2, 9). Which of the following could be the second equation?

• $y=\frac{1}{2}x+10$

• $y=-\frac{1}{2}x+7$

• $y=3x–3$

• $y=2x+5$

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

The graph shows the system of which two equations?

• $y=x–18\ and\ y=x+4$

• $y=-x+18\ and\ y=\frac{4}{3}x+4$

• $y=18x\ and\ y=4x$

• $y=-x+18\ and\ y=\frac{3}{4}x+4$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the system of equations.

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve the system of equations.

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Which is the solution to the system of equations:

• (-1,-6)

• (3,-13)

• (4,-11)

• (-3,-4)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Which system of equations would have no solution?

• $x+y=4\ and\ y=-x+4$

• $y=3x+2\ and\ y=-3x–2$

• $2x+y=10\ and\ y=-2x+10$

• $3x+y=8\ and\ 3x+y=9$

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Which of the following statements is not true about the graph of a system of equations with infinitely many solutions?

• The lines will have the same slope.

• The lines will have one positive y-intercept and one negative y-intercept.

• The lines will have the same y-intercept.

• The lines will share all of the same points.

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Which is a true statement about the system of equations graphed below?

• A.The system of equations does not have a solution because

  the lines do not intersect.

• The system of equations has one solution, although it is not

  visible on the graph.

• The system of equations has an infinite number of solutions.

• None of the statements above are true.

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

Jane is practicing solving systems of equations by inspection. She thinks that y = 5/6x + 2 and y = 5/6x – 2 would have exactly one solution. Is she correct? Why or why not?

Evaluate responses using AI:

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Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11