8th Grade Pre Algebra

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1) If x is tripled and then decreased by 2, the result is 13. What is the value of x?

Explanation:

Setting up the equation: 3x − 2 = 13 → 3x = 15 → x = 5

Explanation

Explanation:

Setting up the equation: 3x − 2 = 13 → 3x = 15 → x = 5

About This Quiz

As you are getting to know how fun algebra is so far you should ensure you get practice material for every topic you cover after class. The quiz below is set to test your understanding on scientific notations, how to make them and expand them. Give it a try and... see moresee how good you are. see less

2) What is 210,000,000 expressed in scientific notation?

21.0 × 10⁷

2.1 × 10⁸

2.1 × 10⁷

0.21 × 10⁹

In scientific notation the decimal must be between 1 and 10. Moving the decimal point 8 places to the left gives 2.1 × 10⁸.

Explanation

In scientific notation the decimal must be between 1 and 10. Moving the decimal point 8 places to the left gives 2.1 × 10⁸.

3) What is 0.00000325 written in scientific notation?

3.25 × 10⁻⁵

3.25 × 10⁻⁶

3.25 × 10⁻⁷

32.5 × 10⁻⁷

Moving the decimal point 6 places to the right gives 3.25, and since we moved left to right the exponent is negative — giving 3.25 × 10⁻⁶.

Explanation

Moving the decimal point 6 places to the right gives 3.25, and since we moved left to right the exponent is negative — giving 3.25 × 10⁻⁶.

4) What is 652.8 m 10⁶ written in proper scientific notation?

6.528 × 10⁷

65.28 × 10⁷

6.528 × 10⁸

6.528 × 10⁹

Since 652.8 is greater than 10, we move the decimal 2 places to the left to get 6.528, and increase the exponent by 2 — giving 6.528 × 10⁸.

Explanation

Since 652.8 is greater than 10, we move the decimal 2 places to the left to get 6.528, and increase the exponent by 2 — giving 6.528 × 10⁸.

5) What is 0.45 m 10⁹ written in proper scientific notation?

4.5 × 10⁹

45 × 10⁷

0.45 × 10⁸

4.5 × 10⁸

Since the coefficient 0.45 is less than 1, we move the decimal one place to the right to get 4.5, and reduce the exponent by 1 — giving 4.5 × 10⁸.

Explanation

Since the coefficient 0.45 is less than 1, we move the decimal one place to the right to get 4.5, and reduce the exponent by 1 — giving 4.5 × 10⁸.

6) In the number 2.45 m 10³, what are the two key components identified?

The coefficient and the base

The decimal point and the exponent

The numerator and the denominator

The integer and the fraction

In scientific notation, the two key components are the decimal point (which determines the coefficient — in this case 2.45) and the exponent (which indicates the power of 10 — in this case 3).

Explanation

In scientific notation, the two key components are the decimal point (which determines the coefficient — in this case 2.45) and the exponent (which indicates the power of 10 — in this case 3).

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