Systems of Equation Review

Which of the following is true about the

solution to the system of equations below?

2x + 4y = 9

2x + 4y = -9

• The system has no solution.

• The system has infinitely many solutions.

• The system has one solution.

• None of the above.

1. Matt plans to solve the system below using

elimination. Which is a reasonable first step

Mateo could take?

-x + 6y = 9

3x + 2y = 13

• Multiply the 2nd equation by 3

• Multiply the 2nd equation by -3

• Multiply the 1st equation by -3

• Any of the above

Solve the system of equations by graphing.

y = 2x

x + y = -6

• (-1,-2)

• (-2,-4)

• (-2,-2)

• (-2,-1)

What can you conclude from the graph of the equations shown below?

• The solution to the equations y = -2x + 15

  and

  y = 4/3x + 4

  is (8, 10).

• The solution to the equations y = -x + 18 and

  y = 4/3x + 4

  is (10, 8).

• The solution to the equations

  y = -x + 17 and

  y = 3/4x + 4

  is (10, 8).

• The solution to the equations y = -x + 18 and y = 3

  y = 3/4x + 4

  is (8, 10).

Solve the system of equations by graphing.

y =2/3x – 2

y = -4

• (-3,-4)

• (-3,-3)

• (-4,-4)

• (-4,-3)

Which is the solution to the system of

equations?

x + y = -7

3x + 2y = -17

• (-2, -6)

• (4, -11)

• (-3, -4)

• (-1, -6)

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

• The lines will share all of the same points.

• The lines will have the same

  y-intercept.

• The lines will have the same slope.

• The lines will have one positive

  y-intercept and one negative

  y-intercept.

Amya wants to solve the system of

equations below by using elimination. Which of

the following describes the next step Amya

should take?

• Multiply each term in the 2nd equation by -2

• Multiply each term in the 2nd equation by 2

• Add the two equations together

• Multiply each term in the 1st equation by -1

Kayla doesn’t have any money in her bank account,

but begins saving $15 each week. Ben has $20 in

his bank account and saves $10 each week. After

how many weeks will Kayla and Ben have the same

amount in their accounts? Use the graph to solve.

• 9 weeks

• 4 weeks

• 6 weeks

• 5 weeks

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

• The system of equations does not have a solution because

  the lines do not intersect.

• None of the statements above are true.

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

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

  visible on the graph.