Linear Equations
Solve:
2x + 5 = 15
x = 5
Is this a function?
(1,2), (2,3), (3,4)
Yes
Find the hypotenuse: legs 3 and 4
5
Simplify:
2³
8
Solve:
y = x + 2
y = x + 2
Infinite solutions
Solve:
3x − 7 = 11
x = 6
Find f(3) if f(x) = 2x + 1
7
Find the hypotenuse: legs 5 and 12
13
Simplify:
5² × 5³
5⁵ = 3125
Solve:
y = x + 1
y = x − 3
No solution
Solve:
4(x − 2) = 20
x = 7
Is this a function?
(1,2), (1,5), (2,3)
No
Find the missing leg: hypotenuse 10, one leg 6
8
Simplify:
(3²)³
3⁶ = 729
Solve:
y = x + 2
y = 2x − 1
(3, 5)
Solve:
5x + 3 = 2x + 18
Answer: x = 5
Find the slope between (2,3) and (6,11)
2
A ladder leans against a wall. The base is 9 ft from the wall and the ladder is 15 ft long. How high does it reach?
12 ft
Write in scientific notation:
450,000
4.5 × 10⁵
Solve:
x + y = 10
x − y = 2
(6, 4)
A line has slope 3 and passes through (2, 4). Find the equation.
y = 3x − 2
Write a function rule for:
Input: 1,2,3 → Output: 4,7,10
f(x) = 3x + 1
Find the distance between (1,2) and (7,10)
√(36 + 64) = √100 = 10
Simplify:
(2 × 10³)(3 × 10⁴)
6 × 10⁷
Solve:
2x + y = 7
x + y = 5
(2, 3)