Algebra Basics
What fraction is equivalent to 35% ?
*Make sure to simpify!
7/20
Solve for x
2x - 4 = 8
x = 6
What makes a relation a function?
Each x is only paired with one y.
Identify the slope and y-intercept of the following functions.
f(x) = -3x + 5
m = -3
b = 5
Write an equation when m = 1/2 and b = -5
y = 1/2x - 5
The number -3 falls into what categories when classifying numbers?
Integers
Rational Numbers
Solve for b.
a - 2b = c
b = (c - a) / 2
What is the domain and range of the following relation?
{ (5, 4) , (3, 6) , (8, 1) , (5, -2) }
Domain: { 3, 5, 8 }
Range: {-2, 1, 4, 6 }
Given the following equation, is the slope positive or negative?
4x + 5y = 10
Negative
Write an equation for a graph that has a zero slope and crosses through 5 on the y-axis
y = 5
Evaluate the following expression using x = 2 and y = 1/2
3y - 3x + 13y
2
7/6 = (w + 11) / 18
w = 10
Given the following function, f(x) = 2x + 1, create a table using the following as your x-values.
-1
1
3
5
x y
-1 -1
1 3
3 7
5 11
Find the x- and y- intercepts for the following equation
6x - 4y = 12
x-intercept = 2
y-intercept = -3
Write an equation of a line that passes through (0, 1) and (6, 5)
y = 2/3x + 1
Translate the following sentence into an algebraic statement.
The product of seven and the sum of two and a number.
7(x+2)
Solve for x.
2(x+2) = 6x - 3
x = 1
Evaluate the following function.
Given f(x) = 3x - 6, find f(2)
f(2) = 0
Graph the following linear equation.
4x - 2y = 4
-2y = -4x + 4
y = 2x + 2
Write an equation that is perpendicular to 1/2x + 2 and passes through (1, 3)
y = -2x + 5
A cyclist travels 56 miles in 4 hours. What is the cyclist's speed in feet per second? Round to the nearest tenth.
20.5 feet per second
Solve for x.
2(4x - 11) = 0
x = 11/4
Given f(x) = x2 + 1 and g(x) = 3x - 2 evaluate the following.
(fg)(2)
f(2) = 5
g(2) = 4
5(4) = 20
Graph the following equation
3 f(x) - 6x = 9
3 f(x) = 6x + 9
f(x) = 2x + 3
Find the 20th term for the following arithmetic sequence
-4, -7, -10, -13
common difference = -3
-4 + (n-1)(-3)
-4 - 3n + 3
-3n - 1
-3(20) - 1
20th term = -61