Linear+Quadratic Equations
What is the linear equation?
What is..... ax+b=0 or y=mx+b
What is a monomial
What is ...... A single term
Evaluate f(x)=3x−2 at x=4. What is f(4)?
What is.... 10
What are the four symbols of inequality?
What is...... <,>,≥,≤
A coffee shop sells small lattes for $4 and large for $6. They sold 80 lattes total and earned $400.
Let s be small lattes sold. How many large lattes?
What is .... 40
What is the quadratic equation? (allowed to write it out)
What is ......
x=-b±√b²-4ac
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2a or ax²+bx+c=0
What is a polynomial?
What is ...... Polynomials are a set of usually 4+ terms that are connected by addition and subtraction symbols. (It is also common for binomials and trinomials to be referred to as polynomials)
What does the f(4) mean?
A. It means 4 times the function
B. It means that the constant of the function is replaced with
C. It means 4 times the constants are less than 4
D. It means the x of the function is replaced with 4
What is..... D it mean the x of the function is replaced with 4
Solve this 4(2x−3)+5≥3x+10
A. x≥17/5
B. x≤17/5
C. x≥3/5
D. x≤3/5
What is ..... A
What type of equation is this? 3x3−7x2+2x−5
A.Quadratic
B.Linear
C.Polynomial
D.Inequality
TRIPLE JEOPARDY!!!!!
A movie theater sells adult tickets for $12 each and child tickets for $8 each. On a busy night, they sold 150 tickets total and made $1,560 in revenue.
Let a be the number of adult tickets sold. How many child tickets were sold?
What is...
Child tickets: 60
Identify whether this 24x2−22x−35 is a
A. Monomial
B. Binomial
C. Trinomial
D. Polynomial
What is ....... C
Inverse of f(x)=3x−2
What is....... f−1(x)=x+2/3
A science club rents a room with a base fee of 60 dollars plus 15 dollars per hour. The total cost must be at least 180 dollars but less than 450 dollars. Let hh be the number of hours rented.Which of the following inequalities best models this situation?
What is...... 180≤60+15h<450
Describe a term (in polynomials)
What is...... each individual part of the expression separated by + or - signs
What is the main difference between a linear equation and a quadratic equation?
What is ...... The quadratic equation hasa variable raised to the second power, while linear only has a variable raised to the 1st. A quadratic creates a parabola, and a linear equation is graphed as a straight line.
What does the 'degree' refer to?
What is...... The power to which a term of a polynomial is raised or the highest power in the polynomial
What is a function?
What is ........ A specific type of relation between two sets (domain and codomain) where each element in the domain is associated with exactly one element in the codomain.X-values (inputs) cannot repeat with different y-values (outputs
When does the inequality symbol flip during the process of solving an inequality?
If the variable term is negative after isolation.
Example: -8x>2 ---> -8x/-8=2/-8 -----> x<-2/8
What do you call the highest or lowest point of a quadratic?
What is.... the vertex(maximum or minimum)
Solve 5x2−7x−3=0
What is...... x=7±√109
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10 or 7±√109/10
Observe this polynomial: 3x4+11+x3+5x+6+7x6. Put it in the correct order
What is...... 7x6+3x4+x3+5x+11+6
Given f(x)=2x+3 and g(x)=x2−1, find (f∘g)(2) and determine if ff is one-to-one.
A. 9, yes
B. 13, no
C. 9, no
D. 13, yes
What is..... A
DOUBLE JEOPARDY!!!!
Solve: 4∣x−2∣−3<9
What is.....−1<x<5, interval notation: (−1,5).
A farmer has 120 meters of fencing to enclose a rectangular pen against a barn (so only three sides need fencing). The parallel sides to the barn are each xx meters long, and the side perpendicular to the barn is yy meters. The total fencing used is 2x+y=120, and the area A=xy must be at least 800 square meters.
Which inequality represents this?
What is...... x(120−2x)≥800