Algebra 1 Review

Quadratics

100

Find the Axis of Symmetry for y = -2x^2 + 4x - 5

What is x=1?

200

Find the vertex for y = x^2- 1/2 x+ 8

What is (.25, 7.94)? 

300

Explain the transformation of f(x) = 2x² from the parent function

Vertically stretched (Thinner) 

400

What is THE VERTEX to y = 2x^2 + 2x

What is (-1/2, -1/2)?

500

What are the 3 other vocabulary words that mean x-intercept? 

What is Roots, Solutions, and Zeros

Radicals

100

2√36

what is 12

200

Simplify √288

What is 12√2

300

Simplify 3√108

What is 18√3

400

Simplify √40x⁵y²

What is 2x²y√10x

500

Simplify 3x√98x³y

21x²√2xy

Factoring

100

Factor x^2+2x+1

(x+1)(x+1)

200

Factor x^2+16

What is polynomial is prime

300

Factor 81-4x^2

(9-2x)(9+2x)

400

Factor 2x² - 3x - 5 

What is (2x - 5)(x + 1)

500

Factor 5x²-3x-2 completely

What is (5x+2)(x-1)

Exponential Problems

100

The asymptote of the exponential function  y=8(0.5)^x   

What is y=0

200

A certain fast-growing bacteria increases 6% per minute, represented by the function b = a(1.06)^m , where a is the starting amount    of bacteria and m is the time(minutes). If  there are 100 bacteria now, about how many                 will there be 12 minutes later?

What is 201?

300

30.     The function  y=12(2)^x   models an insect population after x weeks. To the nearest whole number, what is the initial value of the insect population? 

12

400

The value v (in dollars) of an investment over time t (in years) can be modeled by the exponential function  f(x) = 500,000(1.26) ^t.    Which is the growth factor (b) of the function?

What is 1.26

500

Simplify the expression              18x⁵y⁶ 
                                               --------
                                                  6xy²

  

What is  3x⁴y⁴

Mixed Review

100

Sponge Bob’s rectangular body has a length of (2x – 5) and a width of (x + 1).  Which equation describes the area, A, of Bob’s body in terms of x?

what is 2x²-3x-5

200

Solve 18x - 5 = 3(6x - 2)

What is no solution

300

Simplify (4x²)(3x).

12x³

400

A ball that was hit had an initial upward velocity of 96 feet per second.  The function that describes the position of the ball at any time after it was hit is f(x) = -16t² + 96t, where t is the time in seconds and h is the height in feet.  Hint: graph it.  What is the best conclusion about when the ball will hit the ground?

6 seconds

500

A ball that was hit had an initial upward velocity of 96 feet per second.  The function f(x) = -16t² + 96t describes the position of the ball at any time after it was hit is , where t is the time in seconds and h is the height in feet.  What is the balls max height and at what time does the ball reach it's max height? 

max height: 144 feet  Time: 3 sec