Algebraic Expressions
Simplify (4x − 5y) − (6x + 3y) − (7x + 2y)
-9x - 10y
Factor 3m2n3 - 9m3n4
3m2n3 (1 - 3mn)
30 + 50
2
Determine the slope and y-intercept of y = 3x + 2
slope = 3
y-intercept = 2
State the domain and range of y = 2(x - 3)2 + 1
domain: {x∈R}
range: {y≥1, y∈R}
Simplify −7h(2h + 5) − 4h(5h − 3)
-34h2 - 23h
Factor x2 - 9x + 20
(x - 4) (x - 5)
(-3)2 - 32
0
Determine the slope and y-intercept of 5x - y + 7 = 0
slope = 5
y-intercept = 7
Determine the equation of a quadratic function that has x-intercepts of 1 and -1 and a y-intercept of 3
y = -3(x + 1)(x - 1)
Simplify (5x - 7y) (4x + y)
20x2 - 23xy - 7y2
Factor x2 + 3x - 28
(x + 7) (x - 4)
Simplify (1/2)-1 (2/3)-1
3
Determine the slope and y-intercept of -(x + 4) = 2(y - 3)
slope = -1/2
y-intercept = 1
Determine the equation of a quadratic function that has x-intercepts of -1/2 and 2 and a y-intercept of -4
y = 4(x + 1/2)(x - 2)
Determine the value of f(-2x) given f(x) = -4x + 7
8x + 7
Factor 6x2 - x - 2 = 0
x = 2/3, x = -1/2
Simplify (x2y4) (x-3y2)
y6/x
Determine the equation of the line that has a slope of 3 and a y-intercept of 5
y = 3x + 5
Determine the vertex, the direction of opening, and the domain/range of y = -2(x - 4)2 + 1
vertex: (4,1)
direction of opening: down
domain: {x∈R}
range: {y≤1,y∈R}
Determine the value of 3g(-2x) if g(x) = 2x2 - 3x + 1
24x2+18x+3
Factor 5a2 + 7a - 6
(5a - 3) (a + 2)
Simplify (-2m3)2(3m2)3
108m12
Determine the equation of the line that has a slope of -4 and passes through the point (7,3)
y = -4x + 31
Find the x-intercepts, the vertex, the direction of opening, and the domain/range of y = (x + 6) (2x - 5)
x-intercepts: (6,0) and (5/2,0)
vertex: (-7/4, -289/8)
direction of opening: up
domain: {x∈R}
range: {y≥-289/8,y∈R}