Solving Equations
Solve:
2x = 18
x = 9
Is this a function? Yes or no?:
{(1, 2), (2, 3), (2, 4)}
No, because the repeating x-values have 2 different y-values.
Add the polynomials:
(11x + 4) + (3x + 8)
14x + 12
What is the slope of the following equation?
y = 3x + 5
3
Solve:
3x + 4 = 7
x = 1
Evaluate. What is the value of f(4) for the function
f(x) = 2x - 6
2
Subtract the polynomials:
(4x2 + 3x) - (2x2 + x)
2x2 + 2x
What is the slope-intercept formula for a linear equation?
y = mx + b
Solve:
3x + 3 - 2x = 21
x = 18
The set of ordered pairs below represents a function. Find the domain of the function.
{(3, 2), (-1, 4), (5, 6), (9, -7)}
Domain is set of x-values.
{-1, 3, 5, 9}
4(3x2 - 5x - 8)
12x2 - 20x - 32
Find the slope of the line passing through the points: (3,9) (5,5)
m = -2
What 2 quartiles are included in the interquartile range formula?
1 and 3
Solve:
x - 3 = 2x + 9
x = -12
The set of ordered pairs below represents a function. Find the range of the function.
{(3, 2), (-1, 4), (5, 6), (9, -7)}
Range is the set of y-values.
{-7, 2, 4, 6}
(2x + 5)(3x + 7)
6x2 + 29x + 35
Write an equation you would have to use the distributive property for.
Answers will vary.
Mrs. Tobin opens up a bank account with $200. Each week, she deposits $50 into the bank account. Write an equation to represent this situation.
(Let x represent the number of weeks since Mrs. Tobin opened up the account and y represent the total amount of money in her account.)
y = 50x + 200
or
y = 200 + 50x
9x2 - 18x + 9
What is the slope of the following equation:
2x + 2y = 8
m = -1