What is the slope of the line that passes through the points (2, 3) and (4, 7)?
Slope = 2
Solve this system by graphing
y=2x+3 and y=−x+1
(1,5)
Convert the following number to scientific notation:
0.0000356
0.0000356=3.56×10−5
Solve the quadratic equation:
x2−8x+15=0
x=3 and/or x=5
Simplify the rational expression:
4x2/8x
X= x/2
Write the equation of the line in slope-intercept form that passes through the point (3, -2) and has a slope of 4.
y = 4x - 14
Solve the system by substitution
x+y=7 and 2x−y=4
(11/3, 10/3)
Which is a polynomial function?
A) f(x)=x2 +3x+4
B) f(x)= 1/x + 2
C) f(x)= 4√x
A
Solve the quadratic equation using the quadratic formula: x2+4x−5=0
X = 1 and/or X -5
Multiply the rational expressions:
2x5/and 3x2/4
3x3/10
The function f(x) = 2x² + 3x - 5 is graphed on the coordinate plane. What is the parent function of this graph, and what type of transformation occurred to get this function from the parent function?
F(x) = x²
Solve this system by elimination
3x+2y=12 and 6x−2y=10
(22/9, 7/3)
Multiply the following polynomials:
(x+5)(x−3)
x2+2x−15
Use synthetic division to divide
2x3+3x2−5x−6 by x+2.
What is the quotient?
The quotient is 2x2−x−3 with a remainder of 0.
Add the rational expressions: 3/x+2 and 4/x+2.
7/x+2
Graph the linear inequality 2x - 3y > 6. What would the graph look like and which side of the line would be shaded? Find slope and y-intercept
Dashed line top half of the line is shaded, slope is 2/3 and y-intercept is -2
Solve the system by substitution
3x−y=4 and 4x+2y=12
(2,2)
Find the greatest common factor (GCF) of the following polynomials:
6x3 y+9x2y2−15xy3
3xy
Find the zeros of the polynomial
x3−4x2−7x+10.
Use synthetic division to factor the polynomial and find the zeros.
1, 5, -2
Solve the rational equation:
3/x-1 = 5/x+2
X = 11/2
Which is not a function?
a. {(-1, 2) (-2,5) (-5, 7) (-20,-20)}
b. {(1,2) (2,3) (1,4) (4, 5)}
c. {(1,2) (2,3) (3,4) (4,5)}
d. {(-1,1) (-2,3) (-3,3) (-4,2)}
B
Solve this system by elimination
5x+3y=22 and 4x−3y=7
(29/9, 53/27)
Factor the trinomial:
X2 + 7x + 10
x2+7x+10=(x+2)(x+5)
Solve for the zeros of the quadratic equation
2x2−3x−5=0
using the quadratic formula.
X = 3+7/4 = 10/4=2.5 and/or x= 3-7/4 = -4/4 = -1
Simplify the rational expression:
X2-9/x2-6x+9
X+3/x-3