Solving Equations and Expressions
Quadratics
Functions
Polynomials
System of Equations
100
Simplify x-2y4
What is y4/x2?
100
The solution set of the equation (x-2)(x-a) = 0?
What is 2 and a?
100
Which representations are functions?
I and II
II and IV
c. III, only d. IV, only
What is II and IV?
100
Simplify (2x+5)2
What is 4x2+20x+25?
100
Solve using substitution
y = 2x + 5
y =-3x-10
What is x=1?
200
Solve for x
6x + 1 = 4
What is x = .5?
200
Which equation has the same solutions as x 2+6x-7= 0?
What is (x+3)2=16?
200
The functions g(x) and f(x) are given. What changes would make f(x) into g(x)?
g(x)= 2|x+4|-3
f(x)= |x|
What is (The vertical increase became 2. The function was moved to the left by 4 units, and down by 3 units)?
200
Simplify (x+2)(x2+4x+3)
What is x3+6x2+3x+6?
200
Lily and Rosie are sisters. The sum of their ages is 19nand the positive difference of their ages is 9. Set up a system of equations involving Lilly's age, L, and Rosie's age, R, assuming that Lilly is the older child/ Solve the system to find their ages.
What is Lily is 14 and Rosie is 5?
300
Solve for x
1/3(x+7) = 2
What is x = -1?
300
The function r(x) is defined by the expression x 2 +3x - 18. Use factoring to determine the zeros of r(x). Explain what the zeros represent on the graph of r(x).
X=3
X=-6
The Zeroes represent the x- intercepts.
300
Given that f(x)=2x+1, find g(x) if g(x)= 2[f(x)]2 -1.
What is 8x2+8x=1?
300
Simplify (x-4)(x+3)(x-5)
What is x3-6x2-7x+60?
300
Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?
What is 8 large candles?
400
If the expression 8(x+1)0 is evaluated when x= 1, the result would be...
What is 4?
400
The product of 2 consecutive positive even integers is 14 more than their sum. Set up an equation that can be used to find the 2 numbers and solve it.
What is x=-4 or x=4? ( plus or minus 4).
400
1/2x2 -(1/4x+3), what is the value of f(8)?
What is f(8)=27?
400
Rewrite the following expression as a product of 2 binomials.
(2x-1)(2x+7)-(2x-1)(x-3)
What is (2x-1)(x+10)?
400
Solve for y using elimination.
4x + 5y = 12
-2x + y = 8
What is y = 4?
500
The equation g(x) = 1/2(x-6)
Fing g(20) and g(0). Then subtract g(0) from g(20)
What is 10?
500
2 sets of 3 integers have a property that the product of the larger 2 is one less than 7 times the smallest. Set up and solve an equation that can be used to find both sets of integers.
What is
X=1 x+1=2 x+2=3
x=3 x+1=4 x+2=5?
500
Which function has the greatest y-intercept?
a. f(x)=3x
b. 2x+3y=12
c. the line that has a slope of 2 and passes
through (1, -4).
d.
b. 2x3y12 d.
What is B?
500
Factor for x
10x2+9x+2
What is
x=-2/5 and
x= -1/2?
500
Shana brought sodas and popcorn for the movies. Sodas cost $3 each and popcorn costs $4 per bag. Shana bought 7 things from the concession all either sodas or bags of popcorn. Shana spent a total of $26. Write a system of equations involving the number of sodas, s, and the bags of popcorn, b. Solve the system to seesaw many of each Shana bought.
What are 5 bags of popcorn and 2 sodas?