This is the Semester 1 Final for IM 1.
You may use your notes, homework, and study guides. Remember to show your work on all problems that require it.
And double remember to answer every question. You will receive credit for any work you do.
Good Luck!
Translate this phrase into an algebraic expression:
“half of a number increased by six”
Directions: Give the perimeter of each figure as a simplified expression.
Perimeter Expression=
If x=3 then use it to find the actual perimeter of the rectangle.
Actual Perimeter=
1. How many terms does the expression have?
2. What are the variables?
3. What are the coefficients?
4. What is the constant?
Simplify each expression by distributing and combining like terms.
Solve this equation.
15 - 4y = 31
Solve this equation
Solve each proportion. Show your work.
Solve and graph the inequality for the given variable.
Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.
Is this a function?
Directions: Complete each function table, then graph the function.
Evaluate each function for the given value.
Answer the following questions regarding this Arithmetic Function
Find the next three terms of each sequence:
5, 11, 17, 23,
What is the explicit formula (rule) for this sequence? Use function notation f(n) = see the above example if you forgot it.^^^^^^^^^^^^^
What is the 107th term in the sequence?
Write the equation of this line in slope-intercept form.
Directions: Find the slope between each pair of points:
(5,-6) and (-1, 6)
Use the slope and the y-intercept of each equation to graph the equation.
Use x and y-intercepts of this equation to graph it.
A gym membership costs $30 per month. The gym also requires a one time registration cost of 120 dollars.
Write an equation that represents how much it costs to have a gym membership at this gym.
What is the cost for the first 8 months?
How many months will 400 dollars buy at this gym?