Cpm Algebra Chapter 6

What is the best method to use?

4x + 8y = 20

−4x + 2y = −30

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form

Answer explanation

Elimination because the equations are in standard form

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Answer explanation

When you graph the exact same equation twice, you will have infinite solutions.

What is the solution to this system of linear equations? y - 3x = 0 and y = 3x

• The only solution is (0, 3).

• There is no solution.

• The only solution is (0, 0).

• There are infinitely many solutions.

Answer explanation

The correct choice is: There are infinitely many solutions. The two equations represent the same line, so every point on that line is a solution.

Based on the equations for each line, determine how many solutions the system would have.

y=x+2

y=x-5

• Infinite Number of Solutions

• No Solution

• One Solution

Answer explanation

The system of equations y=x+2 and y=x-5 has no solution because the lines are parallel and will never intersect.

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

Answer explanation

No, the point (2, -1) is not a solution to the system of equations because it does not satisfy both equations simultaneously.

Two equations are graphed and are found to intersect one another. How many solutions do they share?

• 0

• 1

• 2

• infinite

Answer explanation

When two equations intersect, they share one solution where the two lines meet. Therefore, the correct answer is 1 solution.

What do we call these math tools?

• Fred, Bob, George, and Annie

• Algebra Tiles

• Integer Tiles

• "Late for dinner!"

What is the area of this figure?

• x² + 2x + 8

• x² + 6x + 2

• x² + 2x + 2

• 4x + 2

What is the perimeter of this figure?

• 4x + 6

• 4x + 8

• 6x + 6

• 6x + 10

If x = 3, what is the area of this figure?

• 9

• 18

• 3

• 6