Grade 12 Algebra: Standard Form

A Grade 12 math worksheet focusing on converting between different forms of linear equations, identifying slopes and intercepts, and graphing linear equations in standard form.

Grade 12 Math AlgebraStandard Form

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSF.LE.A.2CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSA.REI.D.10

Topics

AlgebraStandard FormLinear EquationsGrade 12Math

8 sections · Free to use · Printable

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Grade 12 Algebra: Standard Form

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following equations is in standard form (Ax + By = C)?

y = 3x - 5

2x - 4y = 8

y + 2 = 1/2(x - 3)

x/2 + y/3 = 1

2. When an equation is in standard form Ax + By = C, the coefficient A must be a integer.

3. The x-intercept of the equation 3x + 4y = 12 is .

4. Convert the equation y = -2x + 7 into standard form.

5. The slope of a line in standard form Ax + By = C is always -A/B.

True

False

6. Graph the linear equation 2x + y = 4 on the coordinate plane below. Label the intercepts.

7. A store sells two types of coffee beans: Arabica for $10 per pound and Robusta for $8 per pound. If a customer spends a total of $60 on coffee beans, write an equation in standard form to represent the possible amounts of Arabica (x) and Robusta (y) beans purchased.