System of Equations - Solutions and Graphing

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What is the lowest common multiple of 3 and 5? ​

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15

30

1

3

5

45

Multiple Choice

What is $$\frac{2}{3}+\frac{4}{5}$$ written as mixed number.

• A) $$\frac{22}{15}$$

• B) $$\frac{3}{4}$$

• C) $$1\frac{7}{15}$$

• Answer not shown.

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Select the symbol that will make the statement true.

$$\frac{22}{15}$$ ​

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1.5.

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<

>

> or =

< or equal

Dropdown

Through which quadrant will the graph of the equation 2x + 3y = 12 NOT pass?​

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Match

Match the following equations with their slope.

• y = 2x - 3

• y = -3x + 2

• y = $$\frac{1}{2}x+8$$

• y = 0

• x = 33

2

-3

1/2

0

undefined

• 2

• -3

• 1/2

• 0

• undefined

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A system of ​

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is two or more equations that ​

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the same ​

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.

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equations

share

variables

algebra

math

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A solution is a ​

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that makes a ​

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​ ​

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.

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value

statement

true

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The solutions, ordered from left to right, to the line y = 2x + 1 are ​

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​

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​

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​ .

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(-2, -3)

(1, 3)

(2, 5)

(4, 2)

(0, 6)

Fill in the Blank

The x - coordinate of the solution to the system of equations is ____.

(Just write the number, not x = #).

Fill in the Blank

The y - coordinate of the solution to the system of equations is ____.

(Just write the number, not y = #).

Dropdown

The system shown is called, consistent and independent. How many solutions does it have? ​

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Dropdown

The system shown is called, ​

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and ​

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. It has one solution.

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There is

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to this system of equations. This is because the lines are ​

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. You can tell this because the ​

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are ​

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.

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no solution

parallel

slopes

equal

infinite solutions

coincide

Multiple Select

Write a system of equations that has a solution (0, 0), with one line having a slope of 1 and the other line being perpendicular.

• y = x

  y = 2x

• y = 0

  x = 0

• x + y = 0

  x - y = 0

• y = x

  y = -x

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The solution to the system of equations is ​

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.

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(3, -2)

(-2, 3)

(0, 0)

no solution

infinite solutions