Unit 4:
Linear Equations & Inequalities
Linear Equations & Inequalities
Unit 7:
Polynomials
Polynomials
Unit 5:
Non-Linear Expressions
Non-Linear Expressions
Unit 9:
Function Synthesis
Function Synthesis
Unit 3:
Linear Functions
Linear Functions
Unit 2:
Linear Functions in Context
Linear Functions in Context
Unit 6:
Exponential Functions
Exponential Functions
Unit 1:
Using the Data Cycle with Bivariate Data
Using the Data Cycle with Bivariate Data
Unit 8:
Quadratic Functions
Quadratic Functions
100
What is the x and y intercepts for:
y=2(x+3)-7
What is the x-intercept is (0.5,0)
& the y-intercept is (0, -1)
100
What type of function is: −3x2+7x−2
What is Quadratic Function?
100
Translate to an equation: "The square of a number is 36"
x2=36
100
Which type of function has a constant rate of change: linear, quadratic, or exponential?
What is linear?
100
Using the equation 2x + y = 8, find the y-intercept and write it as an ordered pair.
(0, 8)
100
Question: For the function y = -13x + 2, identify the slope and y-intercept.
Slope: -13; y-intercept: 2
100
Is the following equation an example of exponential growth or decay?
25000(.92)^x
For extra points: What is the percentage?
What is Decay?
Extra points: What is an 8% decrease per year?
100
What type of correlation is the following graph?
What is negative correlation?
100
For the quadratic function f(x) = -(x + 4)² - 3, identify the vertex.
(-4, -3)
200
Which of the following is a solution to:
3x-2y>12
4x+3y<16
(4,1), (1,3), (2,-6), (6,-1)
What is (2,-6)?
200
Simplify: (3x2+4x−2)+(x2−2x+5)
What is 4x2+2x+3?
200
Simplify using exponent rules: (x3)2 * x4
What is x10?
200
Compare the graphs: A linear function, a quadratic function, and an exponential function. Which one has a vertex?
What is quadratic?
200
Write the equation of a vertical line that passes through the point (4, 5).
x = 4
200
Write the equation of the parent function y = x after it is shifted down 7 units.
y = x - 7
200
What is the value of the asymptote of the following graph?
What is y=2
200
Two bivariate datasets show correlation coefficients of r = 0.92 and r = -0.15. Which relationship is stronger?
What is r = 0.92 because it is closer to 1 or -1, indicating a stronger linear relationship?
200
For the quadratic function f(x) = -(x + 4)² - 3, identify the domain and range.
Domain: all real numbers; Range: y≤−3
300
Sara needs to buy pants and shirts for school. She has only $500 to spend. Shirts are $18 and pants are $50. What equation represents this scenario when pants are x and shirts are y?
What is
50x+18y≤500
300
What is the product of (x+3) and (x−5)?
What is x2−2x−15?
300
Simplify the radical:√72
What is 6√2?
300
Identify the function type based on the table:
What is exponential?
300
If f(x) = ¼x + 5, what is f(-8)?
3
300
What test can you use on a graph to determine if a relation is a function?
The vertical line test (if a vertical line intersects the graph more than once, it's not a function).
300
Translate to an equation: "A population triples every year, starting with 50 organisms"
What is P = 50(3)t or y = 50 * 3x?
300
What are the variables to the following scenario? Identify the Independent and Dependent variables.
A health researcher wants to study the relationship between physical activity and academic performance among high school students. They ask the question: How does the number of minutes of physical activity per week relate to GPA among high school students?
Independent: Minutes of physical activity per week
Dependent: GPA
300
Solve the equation 8x² - 72 = 0
x=3 and x=−3
400
What is the solutions for:
3x−7=2x+5
What is one solution at x=12
400
Factor completely: x2 + 9x + 20
What is (x + 4)(x + 5)?
400
Translate to an equation: "A population triples every year, starting with 50 organisms"
What is P = 50(3)t or y = 50 * 3x?
400
Two functions: f(x) = 2x + 3 and g(x) = 2x. For large values of x, which function grows faster?
What is exponential?
400
A scooter rental costs $1.00 to start, then $0.25 per minute. What does the slope represent in this linear equation?
The rate of change; the cost per minute ($0.25 per minute)
400
For the function represented in the table with x-values {-1, 0, 1, 2} and corresponding y-values {-5, 5, -2, -5}, what is the range?
Range: {-5, -2, 5}
400
Describe the transformation of the following function:
(1.25)^(x+3)+6
Growth/Decay
Left/Right/Up/Down/No movement
Provide the values for each type of transformation.
What is
Growth by 25%
Left 3 units
Up 6 units
400
A researcher wants to collect data about all high school students in a district. Name an appropriate method to collect a representative sample.
What is a simple random sample (or random selection)?
400
Factor the quadratic expression x² + 7x + 12.
(x+3)(x+4)
500
Describe the graph of x>−3 on a number line.
What is an open circle at -3 and line pointing right?
500
Divide using polynomial long division: (x2 + 7x + 12) ÷ (x + 3)
What is x + 4?
500
Simplify using exponent rules:
((4x^6)/(16x^2))^2
(x^8)/16
500
Which function type can have both a minimum and maximum value: quadratic or exponential?
For extra points: What is that minimum/maximum value of the function called?
What is quadratic and for extra points what is the vertex?
500
Line t passes through the points (3, 5) and (3, -2). Write an equation of a line that is perpendicular to line t and passes through the point (4, 3).
y=3 (horizontal line)
500
A relation has the ordered pairs {(-3, -2), (0, 2), (1, -2), (3, -2), (-2, 5)}. Is this a function and what is its domain?
Yes, it is a function. Domain: {-3, -2, 0, 1, 3}
500
What is the domain and range of
-3^x
Domain: All Real Numbers
Range:
y<0
500
What is the name of the line that best represents the trend in a scatterplot?
What is the line of best fit (or trend line)?
500
A ball is thrown upward from ground level with an initial velocity of 64 ft/s. Its height is given by h(t) = -16t² + 64t. What is the maximum height the ball reaches?
64 feet