Algebra 1 EOC Review
Linear Functions graph as...
Lines
Dependent describes which variable?
y
Convert 8x-4y = 12 to slope intercept form.
y=2x-3
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, independent, dependent variables and y-intercept.
29.92=8.99x+2.95 Rate of Change = 8.99 Independent = Number of Pizzas Dependent = total Amount $29.92 y-intercept = Beginning amount of 2.95
The first six numbers in a pattern are shown: {1,3,5,7,9} What is the expression that represents this relationship?
2x-1
What is the solution to the quadratic x^2-16=0 Read x squared minus sixteen equals zero.
4 and -4
The previous parabola equals 8 at x = -6 and x = 6. The positive value for x is 6.
:)
Continuous can be defined by...
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)
A function can be defined by...
A graph, list, table or mapping with no repeating input values (no repeating x-values)
Discrete can be defined by...
A set list of domain and range values. (table, map, set list, scatter plot)
The inequality y greater than or equal to 2x minus 5 would be shaded above or below the line?
Above because y is greater than the function.
Domain can be defined by...
All x-values, input, values on the x-axis, the horizontal span of the function.
Range can be defined by...
All y-values, output, values on the y-axis, the vertical span of a function
If the range is y < or equal to 8; the parabola is above or below y=8?
Below
A quadratic table has a...
Constant second change.
Gina runs 4 miles per hour...does y vary directly with x or does y vary inversely with x?
Directly (remember y=mx is a direct variation) y=4x
The half-life of medication taken is... This relationship is...
Exponential Decay
Population doubles every ten years in our community...this is what kind of relationship?
Exponential Growth
Key words that would give a clue that the relationship may be exponential are...
Half-live, doubles, triples, growth, decay, population
The value of y varies directly with x. Which solution represents the relationship between x and y if y = 60 when x = 30
Hint: remember that y/x=direct variation =2
A question asking if y is a function of x is asking...
Is it a function? (A function is a relationship with no repeating x-values with new y-values)
The perimeter of a rectangle is 42 cm. The length of the rectangle can be represented by (x+4), and its width can be represented by (2x-7) What are the dimensions of this rectangle in cm?
Length = 12 Width = 9 (hint: Perimeter=2length + 2width or 42=2(x+4) + 2(2x-7))
Joe makes $25 per hour plus .60 per mile. This relationship is...
Linear
The cost of tree removal is proportional to the size of the tree is linear, quadratic or neither?
Linear...it is proportional depicting a direct variation
Max's burgers charges $1.50 per quarter pound burger. If James buys $15.00 worth of burgers. What represents the independent value?
Number of burgers
Quadratic Functions graph as...
Parabolas
What is the vertex of the graph of the quadratic function f(x) = x2 + 6x + 10?
Plug the quadratic into the calculator under y= Look at the graph or table. (−3, 1)
A rocket is launched and at 3 seconds it has reached 10 yards...this is what kind of function?
Quadratic
The square of the sides of a square equals the area of the square is linear, quadratic or neither?
Quadratic: Square: side x side = area Side squared = area When the variable is squared, it is quadratic
When the quadratic parent function is shifted horizontally two units to the left, the new equation would be...
Remember a horizontal shift is inside the parenthesis that is being squared.
Zeros are also known as...
Roots, x-intercepts, special solutions, horizontal intercepts
The sales tax rate at a clothing store is 8.75%. Sales tax on an item is a function of its price. Which of the following is the dependent quantity in this function?
Sales tax=.0875(cost of items) y=.0875x The amount of sales tax on the item is the dependent quantity.
The inequality y greater than or equal to 2x minus 5 would be graphed with a dotted or solid line?
Solid because it is greater than and equal to...
When y is proportional to x means...
The relationship is a direct variation. (linear, intersects the origin, y=mx, y divided by x is congruent, is proportional)
When y varies directly with x....would be asking if...
The relationship is a direct variation. (linear, intersects the origin, y=mx, y divided by x is congruent, is proportional)
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).
Tickets the instructor could purchase with $63.00 {1,2,3,4,5,6,...19} Why can he not purchase 20 tickets?
Look at the quadratic function on the back of this card...
What is the positive value of x for which this function equals 8? (answer on next card)
The solution to a system of equations that is graphed can be found...
Where the system intersects.
Is {(1,2),(2,3),(3,4),(4,5),(5,6)} a function?
Yes, there are no repeating x-values.
Exponential Functions graph as...
an Infinite curve
An exponential function in a table has a definite...
constant multiplier (scale factor)
A linear function in a table has a...
constant rate of change
Determine the slope of the line 4x-2y = 10
m = 2
If (2k, k) and (3k, 4k) are two points on the graph of a line and k is not equal to 0, what is the slope of the line?
m=y2-y1/x2-x1 3k/k =3
Independent describes which variable?
x
If y=1/2 x +8, what is the value of x when y = 8?
x = 0
The bakery makes cakes that have 2 inch layers and 1 inch layers. The bakery makes 36 cakes that will stack 42 inches tall; write the system of equations that can be used to solve this problem.
x+y=36 2x+y=42
There are 9 books stacked on a shelf. The thickness of each book is either 1 inch or 2 inches. The height of the stack of 9 books is 14 inches. What is the system of equations that can be used to determine, x, the number of 1 inch books in the stack and y, the number of 2 inch books in the stack?
x+y=9 x+2y=14
When y=-4x + 2 is graphed, what is the value of x when 10=-4x+2?
x=-2
A Directly proportional relationship in a table looks like...
y divided by x is constantly proportional (except for zero)
For the function g, g(2)= -8, and g(-8)=2. If y=g(x), what is the value of y when x=2?
y= -8
When y varies directly with x, the equation can look like...
y=5x or y=-21x
A linear equation can look like...
y=mx+b or y=mx Example: y=4x-2 or y=3x
If y=x is graphed two units higher, what is the new equation?
y=x+2
Write the equation that would represents a vertical shift of the linear parent function by -6 units.
y=x-6
