Algebra 1 1st Semester Mid-term Review
Is it a function? (A function is a relationship with no repeating x-values with new y-values)
A question asking if y is a function of x is asking...
25 + x ≤ 100
Amy got a gift certificate to American Eagle that had $100 on it. She is planning to use $25 of it to buy a t-shirt. Which inequality could she use if x represents how much she could spend on other items?
A continuous line or curve where domain and range values cannot ALL be identified. (any graph where the coordinates are connected by a line or curve)
Continuous can be defined by...
y=2x-3
Convert 8x-4y = 12 to slope intercept form.
m = 2
Determine the slope of the line 4x-2y = 10
A set list of domain and range values. (table, map, set list, scatter plot)
Discrete can be defined by...
All x-values, input, values on the x-axis, the horizontal span of the function.
Domain can be defined by...
Earnings per hour of work.
For Joey's job at Kroger's he earns $7 per hour. His total pay is represented by the function T = 7h, where h is the number of hours worked, and T is the total amount of pay. What does the slope of this function represent?
f(-1) = -14
If f(x) = 2(x-3) + x - 5 then what is the value of f(-1)?
x = 0
If y=1/2 x +8, what is the value of x when y = 8?
y=x+2
If y=x is graphed two units higher, what is the new equation?
Yes, there are no repeating x-values.
Is {(1,2),(2,3),(3,4),(4,5),(5,6)} a function?
y = 25 + .60x
Joe makes $25 per hour plus .60 per mile. The equation is...
Lines
Linear Functions graph as...
Number of burgers
Max's burgers charges $1.50 per quarter pound burger. If James buys $15.00 worth of burgers. What does x represent?
All y-values, output, values on the y-axis, the vertical span of a function
Range can be defined by...
2x-1
The first six numbers in a pattern are shown: {1,3,5,7,9} What is the expression that represents this relationship?
Constant or y-intercept (both are correct)
The following rule was determined to describe a pattern, y = 9x - 3. What is the number -3 called?
Rate, Unit Rate, Rate of change and slope (all are correct)
The following rule was determined to describe a pattern, y = 9x - 3. What is the number 9 called?
Tickets the instructor could purchase with $63.00 {1,2,3,4,5,6,...19} Why can he not purchase 20 tickets?
What is a reasonable domain if a school group attends a play that costs $2.50 per ticket plus a $15 group fee. The instructor has $63.00 to spend. Create a reasonable domain (the number of tickets the instructor can buy).
29.92=8.99x+2.95 Rate of Change = 8.99
When ordering pizza from Dominoes, it cost $2.95 delivery charge plus $8.99 per pizza. If Deb pays $29.92...Write the equation, name the rate of change.
x=-2
When y=-4x + 2 is graphed, what is the value of x when 10=-4x+2?
y = -2x - 4
Write the equation of a line that passes through the point (-1, -2) and (4, -12).
y=x-6
Write the equation that would represents a vertical shift of the linear parent function by -6 units.
Roots, x-intercepts, special solutions, horizontal intercepts
Zeros are also known as...
y=mx+b or y=mx Example: y=4x-2 or y=3x
A linear equation can look like...
constant rate of change
A linear function in a table has a...
x = -2
2(x - 2) - 4 = x - 10
All real numbers
2(x - 5) - 4 = 2x - 14
No Solution
3(x - 5) - 4 = 2x + 11 + x
A graph, list, table or mapping with no repeating input values (no repeating x-values)
A function can be defined by...