Unit 1 (Expressions and Laws of Exponents)
Four times the difference of a number and seven is -52.
4x - 7 = -52
-45 = -4x + 11
x = 14
Is this a function?
{(-1,-4), (2,-2), (7,9), (-1, -3)}
No
What is the slope of the line that passes through the points (-6,10) and (2,-6)?
m = -2
A graphed system of equations shows two parallel lines, what is the solution?
no solution
23 * (21 + 15) + 3
291
0.25a - 9 = -17
-32
What is the range of this function?
{(8,2), (4,-1), (0,-1), (-4,2)}
{2, -1}
Given two points on the line, write the equation of the line in slope intercept form.
(-3,7) and (6,-8)
Solve the system of equations:
y = x + 9
3x +8y = -5
(-7,2)
4x0y2 * -2x3y1
-8x3y3
C = 2πr
Solve for r.
r = C/2π
If f(x) = -2x + 7, find x when f(x) = 11.
x = -2
The number of miles driven and the number of gallons of gas used.
inverse variation
3x + y = 2
4 - 2y = 6x
infinite solutions
|c2 _ d4| + (cd)2
c = 3
d = -2
43
-9(n + 4) = -5n - (4n +36)
infinite solutions
Find the range of the function f(x)=x2 - 6x if the domain is {-7, -2, 1}
{91, 16, -5}
Write the equation of the horizontal line that passes through (5, -3).
y = -3
4x + 3y = -1
5x + 4y =1
(-7,9)
z(-2x3)2 * x5y2z4
4x11y2z5
M = 0.5(x1 + x2)
Solve for x1.
x1 = 2M - x2
g(x)=2x - 1
h(x)= -0.5x - 3
Find g(h(-6)).
g(h(-6)) = -1
Write the equation of the line that is perpendicular to the line y = 3x - 4 and passes through the point (-6,1).
y = (-1/3)x - 1
Reese and Lucy bought some pens and pencils. Reese bought 4 pens and 5 pencils for $6.71. Lucy bought 5 pens and 3 pencils for $7.12. Find the cost of a pencil.
$0.39