Math III Investigation 1 & 2 Quiz 1

Given the graph, what is the solution to the system of equations?

• (0,7) & (7,0)

• (0,3) & (0,7)

• (2, 5)

• (0,3)

Solve the system of equations:

y=2x

x + y =9

• (-3, -6)

• (0, 9)

• (3, 6)

• (2,9)

Solve the system of equations:

x = 3y + 1

2x +4y = 12

• (4,1)

• (3, -1)

• (2, 0)

• no solution

If you solve the system,

x = y - 4

-2x + 3y = 6

you get that x = -6. What does y equal?

• y = 2

• y = -6

• y = -4

• y = -2

Next week your math teacher is giving a chapter test. The test will consist of 35 questions. Some problems are worth 2 points and some problems are worth 4 points. There are 20 possible points available to earn. What system makes sense for the problem?

• x - y = 35

  y = 20

• x + y = 20

  2x + 4y = 35

• x + y = 35

  2x + 4y = 20

• x = 4

  y = 2

Solve the system of equations using substitution:

x = -2y

3x + 4y = -8

• (2, 0)

• (3,4) and (5,6)

• (4, 7)

• (-8, 4)

Ms. Knoerr was solving a system and arrived at the final equation:

2x + 14 = 2x + 14.

What will the solution tell you about the problem?

• There will be no solution.

• There will be infinitely many correct solutions.

• The answer will be 0.

Solve the system of equations:

y= 3x - 7

y = x - 9

• (3,7)

• (8,17)

• (-1,-10)

• (0,0) and (0,-7)

What is the name of the method that we have used in Investigations 1 and 2 to solve a system of equations?

• Elimination

• Substitution

• Fundamental Theorem

• Linear Combination

Translate the following sentence into an equation:

The sum of the first number and 4 times the second number is 24.

• f + 24n = 1

• f + 4n = 24

• f (4n) = 24

• f / n = 4 * 24