Standard Form Equations Worksheet

A Grade 10 math worksheet focusing on converting linear equations to standard form, identifying coefficients, and solving related problems.

Grade 10 Math AlgebraStandard Form

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraStandard FormLinear EquationsGrade 10

7 sections · Free to use · Printable

Standard Form Equations

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Read each question carefully and follow the instructions. Show all your work for full credit.

1. The standard form of a linear equation is written as Ax + By = C, where A, B, and C are , and A and B are not both .

2. In standard form, it is customary for A to be a integer.

1. Convert the equation y = 3x - 5 into standard form.

2. Convert the equation 2x - 4 = 6y into standard form.

3. Convert the equation (1/2)y = (2/3)x + 1 into standard form, ensuring A, B, and C are integers.

1. Which of the following equations is in standard form?

y = 2x + 7

3x - 5y = 10

x/2 + y/3 = 1

y - 4 = 0

2. In the equation 5x + 2y = 15, what is the value of C?

None of the above

1. The equation x - y = 0 is in standard form.

True

False

2. In standard form Ax + By = C, A cannot be negative.

True

False

1. A line passes through the points (2, 3) and (5, 9). Write the equation of this line in standard form.

2. The equation of a line is given by y - 2 = (1/3)(x + 6). Rewrite this equation in standard form.