Linear Review
Systems
Radicals
Polynomial Operations/Factoring
Quadratics
100
Write the equation of the line with a slope
of 2 and that goes through (-1,4)
y - 4 = 2 ( x + 1 )
100
Solve by Substitution:
y = 2x – 6
2x + y = 10
(4, 2)
100
Simplify the radical
sqrt(27x^28)
3x^14sqrt3
100
Simplify the expression.
(3a + 5b) - (2a - 6b)
a + 11b
100
Find the vertex of
y=x^2-6x+8
x=(-b)/(2a)
(3, -1)
200
What is the Domain and Range of this graph?
D: [0, 2]
R: [-3, 4]
200
Solve by Graphing
2x + y = 2
y = x + 5
(-1, 4)
200
Simplify the radical expression
sqrt(40)-sqrt(90)
-sqrt10
200
Factor the expression.
3x^5y^7+18x^2y^9-300xy^12
3xy^7(x^4+6xy^2-100y^5)
200
Solve by Factoring to find both x-intercepts:
x^2-7x+10=0
x={5, 2}
300
Write the equation of the line that passes through the point (4,5) and is parallel
y= 3/2x-7
y-5=3/2(x-4)
y=3/2x+11
300
Solve the system using any method:
3x + y = 6
2x + 3y = 11
(1, 3)
300
Solve for c:
3sqrt11
300
Simplify the expression.
(7x-1)^2
49x^2-14x+1
300
Solve by using the Quadratic Formula:
x^2-7x+4=0
x=(7+-sqrt33)/2
400
Graph and Shade: 6x - 3y ≥ 12
400
Sue has 20 dimes and quarters. If the total value of the coins is $3.20, find the numbers of each kind of coin she has using a system of equations.
8 quarters
12 dimes
400
5sqrt(3x-6)+2=17
Solve the radical equation.
x=5
400
Factor the expression.
2x^2+7x+3
(2x+1)(x+3)
400
Identify the 6 major characteristics of this graph?
(AOS, Vertex, x & y intercepts, Domain, Range)
A.O.S.: x= -1 Vertex: (-1, 4)
x-int: (1, 0) & (-3,0) y-int.: (0, 3)
Domain:
(-oo, oo)
Range:
(-oo, 4]
500
Tickets at a school play cost $4 in advance or $5 at the door. Total ticket sales for an evening production were $440. If 10 tickets were sold in advance, write and solve a linear equation to find the how many were sold at the door.
Equation: 4x+5y=440
(x= # tickets sold in advance; y= # tickets sold at door)
Answer: 80 tickets were sold at the door
500
Graph and Shade to identify the vertices of the geometric shape.
5x – 3y < 15
y ≤ 5
5x + 3y > 15
500
Simplify the radical expression.
2sqrt(6)(5sqrt(3)+4sqrt6)-(5sqrt2)^2
-2+30sqrt2
500
Completely factor the expression.
3x^3+4x^2-48x-64
(3x+4)(x^2-16)
(3x+4)(x+4)(x-4)
500
The area of the shaded region is 42
i n^2
. What are the dimensions of the outer rectangle?
x = 4
larger rectangle dimensions: 10 by 7