Algebra Class: Solving for z

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Questions and Answers

What is the solution for $z$ in the equation $10z = 30$?

$3$ (correct)
$2$
$5$
$1$

What is the value of $z$ in the equation $2z + 3 = 4$?

$0.5$
$2$
$3$
$1$ (correct)

Find the solution for $z$ in the equation $3z + 6 = 0$.

$0$
$2$
$-2$ (correct)
$-6$

What is the solution for $z$ when $2z - 3 = 3z + 7$?

<p>$-4$ (D)</p> Signup and view all the answers

What is $z$ in the equation $5z + 25 = -10$?

<p>$-5$ (D)</p> Signup and view all the answers

Flashcards

Solving linear equations in one variable

To solve for 'z', we aim to isolate 'z' on one side of the equation. This involves performing operations to undo the operations being done to 'z'.

Solving for 'z' in equations like '10z = 30'

In an equation like '10z = 30', we aim to find the value of 'z' that makes the equation true. This involves dividing both sides of the equation by 10 to isolate 'z'.

Solving equations with a constant term added to 'z'

In equations like '2z + 3 = 4', you first need to isolate the 'z' term. This involves subtracting 3 from both sides of the equation, then dividing both sides by 2 to get 'z' by itself.

Combining like terms in equations

An equation with 'z + z' can be simplified by combining like terms, resulting in '2z'. After simplifying, you can solve for 'z' as in other equations.

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Solving equations with 'z' terms on both sides

In equations like '2z - 3 = 3z + 7', you need to move all 'z' terms to one side of the equation and all constant terms to the other side. This involves adding 3 to both sides and subtracting 3z from both sides, then simplifying and solving for 'z'.

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Study Notes

Solving for z in Linear Equations

Solve for z in the following equations:
- 10z = 30
- 2z + 3 = 4
- z + z = 4
- 3z + 6 = 0
- 2/4z = 30
- 0 = 3z + 3
- 9z + 10 = 20
- 2z - 3 = 3z + 7
- 5 + 7z - 8 = 24
- 5z + 25 = -10
- 2z + 5 + 3z = 34
- 1.2z - 5 + 2 = 11

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Description

Test your skills in solving linear equations for the variable z. This quiz includes a variety of equations to challenge your understanding of algebraic principles. Put your knowledge to the test and see how well you can isolate z in different scenarios.