Expressions
What is the order of operations used to simplify numerical expressions?
PEMDAS
Solve the equation 3𝑥−5=10
X=5
What is the definition of a function?
A relation where each input has exactly one output.
What is the slope formula?
(y2-y1)/(x2-x1)
Identify the independent and dependent variables in the context of distance traveled over time.
Independent: Time; Dependent: Distance.
Simplify the expression: −3(2𝑥−7)
−6x+21
Write the equation for "The sum of a number and 7 is 15."
𝑥+7=15x+7=15
How do you determine the domain of a relation?
The set of all possible input values (x-values).
What is the slope of the line that passes through the points (1, 2) and (3, 6)?
m= 5
What are the 3 types of solutions you can get when solving equations?
One solution, no solution, infinite solutions
Evaluate the algebraic expression 5𝑎+3𝑏 when 𝑎=2 and 𝑏=4
22
Solve the equation 3x-2 = x+10.
x=6
What is the vertical line test used for?
To determine if a relation is a function.
What is the slope of the line that passes through the points (0, 2) and (2, 4)
x=1
Solve (2/3)x=22
x=33
Translate the phrase "Twice a number plus 5" into an algebraic expression
2x+5
Solve for 𝑥 in the equation (15+𝑎𝑥)/2=−25
x=-65/a
f(-3)= 9
Find the x and y-intercept of the linear function 8y = 2x + 4
x= -2
y= 1/2
If it takes 40 peanuts to make one ounce of peanut butter, how many peanuts will it take to make an 8 ounce jar of peanut butter?
320 peanuts
What is the identity property of addition. Give and example.
Adding zero to any number does not change the number
Solve the absolute value equation 2∣𝑥−4∣=8
x=8 or x=0
For f(x) = -2x + 7, find the value of f(-1) + f(4)
8
What is the value of y so that the line passing through the points (4, 4) and (-3, y) has a slope of -2
y= 18
Solve (x+4)/ x = 3/7
x=-7