Solving Equations and Systems Algebraically
Inequalities
Quadratics
Polynomials
Perimeter, Area and Volume
100
Solve this equation for t.
17t - 7 - 9t = 25 + 32
t = 8
100
What is the solution set for z in the inequality
11 - 4z < -1 ?
z > 3
100
Solve for x.
y=x2+3x-28
x=7 and x=-4
100
-x^5+4x^2+2x +1
, identify the degree and type of polynomial
5 - quintic
100
What is the perimeter of a rectangle with a height of (1/4g + 6) and width of (8 + 3/4g)?
The perimeter is 2g + 28 units.
200
Find the value of x that satisfies this equation.
6(x - 4) =120
x = 24
200
Solve the inequalities. 11-4z<-1 ; 3m-8>-30+5m
z>3 ; 11>m or m<11
200
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2 x = 3
200
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
200
What is the polynomial that represents the area of this rectangle?
(4x+8)(2x+3)
8x^2+12x+16x+24
8x^2+28x+24
300
Solve the system of linear equations:
y = 5x - 1
2y = 3x + 12
(2,9)
300
Solve the inequalities and write your solution in interval notation:
2x2+5x < 12
-4<x<1.5
(-4,1.5)
300
Solve the following quadratic equation by using square roots: 4x2 = 400
x = 10 x = -10
300
(2x*2-5x-2) - (6x^2-3x-1)
-4x^2+8x -1
300
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400
Solve the system of linear equations:
4x - 3y = 16
5x + 3y = 20
(4,0)
400
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400
Solve the following quadratic equation by using square roots: 4x2 - 4 = 208
+-sqrt(53)
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
400
What is the polynomial that represents the volume of this rectangular prism?
3x(2x+5)^2
3x(4x^2+20x+25)
12x^3+60x^2+75x
500
Solve the system of nonlinear equations:
x^2-y^2=4
9x^2+y^2=36
Hint: you will get 2 solutions!
(-2,0) and (2,0)
500
Place on a number line and write in interval notation:
2x2+7>9x
(-∞, 1) U (7/2, ∞)
500
Solve the following quadratic equation by using the quadratic formula: 5x2 - 3 = -11x
(-11+-sqrt(181))/10
500
Multiply.
(6x+1)^2
36x^2+12x+1
500
What is the length of the rectangle is its area is
(15x^2-10x)cm^2
5x cm