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Standard Math Year 11 > Equations > Flashcards

Equations Flashcards

1
Q

What is the definition of an equation in mathematics?

A

An equation is a mathematical statement that shows the equality of two expressions by using an equal sign.

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2
Q

True or False: An equation can have multiple solutions.

A

True

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3
Q

Solve for x: 2x + 5 = 11

A

x = 3

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4
Q

What is the process of solving an equation called?

A

The process of solving an equation is called finding the solution.

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5
Q

Which operation should be used to isolate the variable in an equation?

A

Inverse operation

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6
Q

What is the solution to the equation 3(x - 4) = 15?

A

x = 7

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7
Q

True or False: Equations can have no solution.

A

True

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8
Q

What is the solution to the equation 2y + 7 = 15?

A

y = 4

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9
Q

Solve for x: 4(x + 3) = 32

A

x = 5

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10
Q

What is the term for an equation that is true for all values of the variable?

A

Identity

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11
Q

True or False: Equations can only have one solution.

A

False

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12
Q

What does it mean if an equation has no solution?

A

It means that the equation is inconsistent and cannot be satisfied by any value of the variable.

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13
Q

Solve for x: 3x - 7 = 2x + 4

A

x = 11

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14
Q

What is the solution to the equation 5y - 8 = 7?

A

y = 3

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15
Q

True or False: Equations can have an infinite number of solutions.

A

True

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16
Q

What is the solution to the equation 2(x + 5) = 18?

A

x = 4

17
Q

Solve for x: 6(x - 2) = 30

A

x = 7

18
Q

What is the term for an equation that is never true for any value of the variable?

A

Contradiction

19
Q

True or False: Equations can have more than one variable.

A

True

20
Q

What is the solution to the equation 4y + 9 = 21?

A

y = 3

21
Q

Solve for x: 2(x - 3) = 10

A

x = 8

22
Q

What is the term for an equation that is true for only specific values of the variable?

A

Conditional equation

23
Q

True or False: Equations must always contain numbers.

A

False

24
Q

What is the solution to the equation 3(x + 4) = 27?

A

x = 5

25
Q

Solve for x: 5x + 2 = 17

A

x = 3

Standard Math Year 11 (1 decks)

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