Linear Equations In One Variable

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What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

Tags

CCSS.8.EE.C.7A

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How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Tags

CCSS.7.EE.B.4A

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What does it mean for an equation to have no solution?

Back

An equation has no solution when the variable cannot satisfy the equation, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A

Front

What is the solution of the equation 2y = 5y - 8/5?

Back

The solution is y = 8/15.

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What is the value of 3y/7 if 3y - 2/3y + 2 = -6?

Back

The value is -10/49.

Tags

CCSS.8.EE.C.7B

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around it, calculated as P = 2(l + b), where l is the length and b is the breadth.

Tags

CCSS.4.MD.A.3

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If the perimeter of a rectangle is 160 cm and the ratio of length to breadth is 9:7, what is the area?

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The area is 1575 sqcm.

Tags

CCSS.3.MD.D.8

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What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator.

Tags

CCSS.5.NBT.A.2

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What does it mean for a number to be an integer?

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An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

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What is the first step in solving the equation (x-5)/2 - 1/2 = (x-3)/5?

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The first step is to eliminate the fractions by finding a common denominator or multiplying through by the least common multiple.