Exponents
Polynomials
Quadratics
Systems of Equations/Inequalities
Mixed!
100
Draw an example of an exponential growth curve.
Do you agree with the drawing?
100
Multiply:
3x(5x+8)
15x2+24x
100
List the x-intercepts for y=x2-4x-32
x= {8,-4}
(8,0) and (-4,0)
100
Solve this system of equations:
y = x + 3
y = -3x + 11
(2, 5)
100
Give an example of a cubic function.
The highest DEGREE is 3.
200
Simplify (5x2)3
125x6
200
Simplify:
2x2(4x-x2+3)
-2x4+8x3+6x2
200
Solve.
4x2 + 8x = 0
x={0, -2}
200
At the end of a basketball game, your team’s final score was 53 points. You know that the team scored 23 baskets altogether. Some baskets were worth 2 points, and others were worth 3 points. Surprisingly, no one made it to the free-throw line. Write a system of equations to represent this situation.
x + y = 23
2x + 3y = 53
200
Simplify 5x0
5
300
In an exponential decay function, the decay factor is always_______?
Greater than 0, but less than 1.
300
Simplify and name the polynomial:
(3x2-6)+(5x2+9)
8x2+3, binomial quadratic
300
Convert to standard form:
y = 2(x-1)2 -3
y= 2x2 - 4x - 1
300
Which side should be shaded (y or g) for the linear inequality y > 1 + 2x
y is "greater than" 1 + 2x
Shade UP from 1
THE YELLOW
300
What are the solutions of (8x+1)(x-2)=0?
x={-1/8, 2}
400
Simplify (3-3)
1/27
400
Simplify:
(x2+5x-4)-(3x2-2x+5)
-2x2+7x-9
400
Solve using the quadratic formula.
x2-3x-2=0
x={3.56,-0.56}
400
Which section holds the solution to the system?
y > 2x + 5 y < -1x
Area 3
It has both shading (green & orange) because it is holds solutions to BOTH inequalities
400
Describe the initial value and the percent change. Be specific!
g(x) = 3460(0.71)^x
Initial Value: 3460
Percent Change: a decrease of 29%
500
You start a new job at a pay rate of $12 per hour. You expect a 2% raise per year. What equation represents the growth of your salary?
Parent function: y=a(b)x
y=12(1.02)x
500
Write the perimeter as an expression in simplest terms.
2x2+16x - 16
500
Answer all parts to this question correctly.
y=-2(x+3)2+4
-Vertex:_____(min/max)
-Axis of symmetry:______
-Leading coefficient:______
-Opens up or down?
vertex:(-3,4)
axis of symmetry: -3
leading coefficient:-2
Opens downward, therefore vertex is the max.
500
4x + 6y = 16
-7x + 2y = -3
(1, 2)
500
Find the area of a rectangle with sides (5x - 2) and (x + 4)
5x2 +18x - 8