Name the method:
1. Graph Y1 = h(x) and Y2 = g(x)
2. Find x coordinate of intersection of two graphs
What is the intersection method
100
Solve 3x^2-x=10
What is x=-5/3; x=2
100
A rectangle is two times as wide as its height. If it has an area of 24.5in^2, what are its dimensions?
What is 3.5in x 7 in
100
If A and B are algebraic expressions and A=B, then A^n=B^n
What is a radical equation
100
b
What is compound inequality
200
Solve:
abs(x^2-4x-3)=x^3+x-6
What is x=2.21
200
If ab=0, then a=0 or b=0.
What is factoring
200
The average of two real numbers is 41.125 and their product is 1683. Find the two numbers.
What is 44 and 38.25
200
Solutions of f(x)/g(x)=0 are all values of x such that f(x)=0 and g(x) does not equal 0.
What is a fractional equation
200
[c,d]
(c,d)
[c,d)
(c,d]
Entire number line
What is interval notation
300
Name the method:
1. Rewrite as f(x)=h(x)-g(x)=0
2. Graph Y1=f(x)
3. Find x-intercept
What is the X-intercept method
300
If the discriminant is greater than 0, it can have this many solutions.
What is 2
300
A car radiator contains 12 quarts of fluid, 20% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 50% antifreeze?
What is 4.5 quarts
300
Solve abs(x-4)=8
What is x=12 or x=-4
300
Solve x^4+10x^3+21x^2>40x+8
What is (- infinity,-.18) &(1.3, infinity)
400
Solve x^5+x^2=x^3+5
What is x=1.42
400
If a discriminant is less than 0, it can have this many solutions.
What is no real solutions.
400
A pilot wants to make an 840-mile round-trip flight in 5 hours. There's 30 mph headwind on the way there and a 40 mph tailwind back. What speed should the plane be flown?
What is 170 mph
400
Solve abs(x+4)=5x+12
What is x=1.5
400
True of false:
You can multiply and divide positive numbers on both sides of the inequality without flipping the sign,
What is true
500
Solve x^5+5=3x^4+x
What is 3
500
If a discriminant is equal to 0, it can have this many solutions.
What is 1
500
A high risk stock pays 12%/year, while a savings account pays 6%/year. How much of a $9000 investment should be put into each for an 8% return?
What is $3000=stocks, $6000=savings
500
abs(c+d) is the distance between c and d on a number line
What is distance absolute value
500
True or false:
When you multiply or divide by a negative number, there is no need to flip the sign.