Algebra II – 212 Midterm Review Challenge!

Please work within your groups to complete the problems. Remember….each person in your group will answer on the sheet of white paper Send up a representative to staple your answers and put in the corresponding pile. Enjoy!

State what property is illustrated in each of the following: a. (16a)b = 16(ab)________________________ b. -7(-1/7) = 1_________________________ c. 10x + (-10x) = 0________________________ d. 3x(4 + 5x) = 12x + 15x 2 ________________________ e. 4x + 5 = 5 + 4x________________________

Solve the following: 2a – (1 – a) = 11 – a

Classify the following number: -5

Solve the following for x: y = mx + b

Simplify 4a(a -3 b -4 ) -2 (a 9 b -7 )

Simplify

Graph the solution to the following on a number line: 2t + 7 >13 or 5t + 4 < -16

Graph the solution to the following on a number line:

A rectangle is 5 ft wider than a square. The rectangle is twice as long as it is wide. Find the area of the square given that the difference between the two perimeters is 70 ft.

Find the slope for the following: 1.a line that contains (-1, 3) and (3, -12) 2. x = y = x + 9y = 16

Write an equation in standard form for a line through (-3, 8) and (4, 8)

Write an equation of a line perpendicular to 6x + 2y = – 12 and that contains the point (-5, -10).

z varies jointly as m and n and inversely as the square of p. If z = 100 when m = 10, n = 4 and p = 2, what is p when z = 16, m = 5 and n = 32?

1.Find the domain and range for the following 2. What does f(-2) =?

f(x) = ½x + 10 Find f -1

Given: f(x) = 4x + 3 and g(x) = ½x – 10 Find g(-10) – f(5)

f(x) = ½x + 10 and g(x) = 6x – 4 Find f(g(x))

y = abs(x – 3) Describe the transformations 2.Graph using at least 5 points

Choose the best answer for the following: A student ticket and an adult ticket costs $4 to go to the movies. Four student tickets and three adult tickets cost $13 to go to the same movie. Given the following system: x + y = 4 4x + 3y = 13 How much will a student ticket cost? $1B. $2C. $3D. $4

Solve the system using the method of your choice: 5x + 4y = 2 2x + 3y = 5

It takes a boat 2 hours to travel 28 miles downstream and one additional hour to travel 2 extra miles upstream. Find the speed of the boat in still water and the rate of the current.

Graph and shade the solution set: y > -1 x – 2y > -2 x + y ≤ 5

For the following system of inequalities: Show the feasible region. Find the corner points. Find the maximum and minimum values for the objective function. The objective function is P = 11x - 5y 4x – 2y < 8 x > 1 0< y < 4

f(x) = (2x + 3)(9 – x) Standard form _______________________ Max/ Min? _______________ Opens up/ Opens Down? __________________

Solve the following: 4(s + 4) 2 – 10 = 26

Solve using Factoring and applying the Zero Product Property: 6x 2 = 17x - 12

Solve by completing the square! x x + 16 = 0

Given the following equation: f(x) = 2x 2 – 4x – 16 a. Find the vertex. b. Find the equation for the axis of symmetry c. Find the roots or solutions

Solve using the method of your choice: 3x 2 – 3 = -5x – 1