Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
x² - 7x - 8
↓
<em>a</em> = 1, <em>b </em>= -7, <em>c</em> = -8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Quadratic Formula]:
- [√Radical] Evaluate exponents:
- [√Radical] Multiply:
- [√Radical] Add:
- [√Radical] Evaluate:
- Multiply:
- Add/Subtract:
- Divide:
Answer:
Step-by-step explanation:
1. 2x - 1 < x + 3
Subtract x and add 1 to both sides
2x - 1 - x + 1 < x + 3 - x + 1
x < 4
2. 5x - 1 > 6 - 2x
Add 1 and 2x to both sides
5x - 1 + 1 + 2x > 6 - 2x + 1 + 2x
7x > 7
Divide both sides by 7
7x/7 > 7/7
x > 1
3. x - 5 < 0
Add 5 to both sides
x-5 + 5 < 0 + 5
x < 5
Slope is rise over run, so that would be 25/100 = 1/4
Slope is 1/4
Answer:
D: 8
Step-by-step explanation:
7 + (2 + 6) ^2 ÷ 4 ⋅ (1/2)^4
According to PEMDAS
We to parentheses first
7 + (8)^ 2 ÷ 4 ⋅ (1/2)^4
Then we do exponents
7 + 64 ÷ 4 ⋅ (1/16)
The multiply and divide from left to right
7+64 ÷ 4 ⋅ (1/16)
7+16 ⋅ (1/16)
Then add and subtract from left to right
7+1
8