Standard Form of Equations

You are running the concession stand for the football game. You sell hot dogs for $2 and sodas for

$2.00. At the end of the night, you made $750. Let x represent the number of hot dogs sold and y

represent the number of sodas sold.

Write the equation in standard form.

Ax+By=C

Mathematical Equivalence

ON

The standard form of a linear equation is __________.

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What is Standard Form?

• Y = MX +B

• AX + BY = C

• Y = M(X-X₁) + Y₁

Put this into standard form:

3x = 7y - 5

• 3x - 7y = -5

• 3x - 7y = 5

• 3x + 7y = 5

• 3x + 7y = -5

Write this equation in Standard Form

13 - 6x - y = 0

• -6x - y = -13

• 13 - 6x = y

• 6x + y = 13

• y = -6x + 13

Name the x- and y-intercepts for the equation: 4x - 10y = 20

• (4, 0) and (0, -10)

• (5, 0) and (0, 2)

• (5, 0) and (0, -2)

• (4, 0) and (0, -10)

Name the x- and y-intercepts for the equation: 5x + 3y = 15

• (3, 0) and (0, 5)

• (0, 3) and (5, 0)

• (5, 15) and (15, 3)

• (0, -3) and (5, 0)

Rewrite the equation into Standard form

• 5x + 8y = 56

• -5x + 8y = 56

• 8x + 5y = 56

• 5x + y = 7

Write the standard form of the equation for the line:

y = 1/4 x + 4

• x + 4y = 8

• x - 4y = -16

• y = x + 16

• 4y + x = 8

What is the y-intercept of 2x - 5y = 35?

• (0,-7)

• (-7,0)

• (35/2, 0)

• (0,35/2)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3