Algebra 1 EOC Review
Linear Functions graph as...
Lines
Convert 8x-4y = 12 to slope intercept form.
y=2x-3
What is the solution to the quadratic x^2-16=0 Read x squared minus sixteen equals zero.
4 and -4
Domain can be defined by...
All x-values, input, values on the x-axis, the horizontal span of the 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.
Key words that would give a clue that the relationship may be exponential are...
Half-live, doubles, triples, growth, decay, population
Joe makes $25 per hour plus .60 per mile. This relationship is...
Linear
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)
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
A linear function in a table has a...
constant rate of change
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
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
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
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.
Range can be defined by...
All y-values, output, values on the y-axis, the vertical span of a function
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
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))
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)
The solution to a system of equations that is graphed can be found...
Where the system intersects.
An exponential function in a table has a definite...
constant multiplier (scale factor)
Determine the slope of the line 4x-2y = 10
m = 2
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
Dependent describes which variable?
y
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
