## Questions and Answers

Solve for x: x - 3 = 12

15

Solve for m: 8m = 24

3

Solve for x: 3x - 2x + 4 = 15 + 3

14

Solve for x: 6x + 5 = 7(5)

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Solve for x: 18 - x = 5x

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Solve for N: N/7 - 2 = 9

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Solve for x: 2(x + 3) = 19 - 3

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How old is Sebastian now if seven years from now he will be 22 years old?

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What is the number if the product of three and a number is eight more than the number?

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What is the cost of a burger if twice the cost of a burger and French fries ($1) is $10?

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## Study Notes

### Algebraic Equations and Solutions

- Solve for x in the equation x - 3 = 12: x equals 15.
- For the equation 8m = 24, the solution is m equals 3.
- In the equation 3x - 2x + 4 = 15 + 3, x simplifies to 14.
- The equation 6x + 5 = 7(5) results in x equaling 5.
- From the equation 18 - x = 5x, the solution is x equals 3.
- For the equation N/7 - 2 = 9, N is calculated to be 77.

### Word Problems and Applications

- For the age problem: Sebastian will be 22 in seven years, so the equation x + 7 = 22 represents his current age (x).
- The equation 3x = x + 8 describes a situation where the product of three and a number exceeds the number by eight.
- In the cost problem, the equation 2(x + 1) = 10 illustrates that twice the cost of a burger plus the cost of French fries ($1) totals $10.

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## Description

Test your skills with this Pre-Algebra Quiz designed for Grade 8 students using Abeka materials. It includes various equations and word problems that challenge your understanding of algebraic concepts. Each question requires you to solve for the variable, reinforcing your analytical thinking.