Algebra Chapter 1 and 2 Test

Addition of integers: Simplify expressions like −7 + (+9) by adding or subtracting the numbers.
Addition of negative integers: For −28 + (−11), add the absolute values and keep the negative sign.
Subtracting negatives: When simplifying −6 − (−10), convert it to addition: −6 + 10.
Combining multiple integers: For (−5) + (−6) − (−7) − (+4) + (+3), carefully add and subtract each term to arrive at the final value.

Follow the order of operations (PEMDAS/BODMAS) when evaluating:
- In 18 ÷ 2 ∙ 5 ÷ −6 + 4 ∙ 7, perform division and multiplication from left to right before addition.
- For the complex expression (2 ∙ 42 + 3(4+5)²), work inside parentheses first and apply exponentiation.

Evaluate simple power and product: In 102 − 3 ∙ 52, compute each term separately.
For 36, remember it represents a squared number (6²).
Simplifying fractions involves reducing them: In 56/25, identify common factors.

Improper fractions to mixed numbers: To change 6/5, divide the numerator by the denominator to find the whole number and remainder.
Mixed numbers to improper fractions: Convert 2 3/8 by multiplying the whole number by the denominator and adding the numerator.

When simplifying expressions with fractions: For 8 + 4/5, convert to a common denominator before addition.
Simplifying complex fractions like 10 2/16 − 3/16 involves converting mixed numbers to improper fractions first.

Finding the total current: Add up all individual currents in a given circuit context to calculate the total.

Rounding to significant digits requires identifying the desired precision in values.
Round 27.2847 to the nearest hundredth, focusing on the second decimal place for rounding decisions.
For rounding to the nearest unit, look at the first decimal place.
When rounding large numbers like 63,914 to two significant digits, keep the first two non-zero digits.
Round small decimal numbers like 0.003275 by focusing on relevant significant figures after adjusting the decimal point.