exponents
(10x2y-8)0
1
(anything to the power of 0 equals 1)
Is the sequence geometric or arithmetic? give its sequence generator
-4, -1, 2, 5, 8
arithmetic, sequence generator= +3
x-2y=4
-x-6y=4
(2, -1)
(solve using elimination)
Multiply (x-1)(2x+3)
2x2 + x -3
(use generic rectangle to multiply)
Write the linear equation for a line with a slope of -2 and goes through the point (0, 5)
y = -2x+5
(use y = mx+b, we were given the slope and the y-intercept in the problem)
-5x-4y6
-5y6/x4
Is the sequence geometric or arithmetic? give its sequence generator
-2, 6, -18, -54
geometric, sequence generator= multiply by -3
4x+2y=10
x=y+13
(6, -7)
(Solve using substitution)
(3x-1)(3x+1)
9x2 - 1
(use generic rectangle)
Write the equation of a line with a slope of 3 and goes through the point (2, 7)
y = 3x +1
(use y=mx+b, given m (slope) plug the point given into x & y and solve or b)
(4x108)(2x10-6)
8x102
Give the first three terms for t(n) = -2n + 10
8, 6, 4
(use equation and plug n=1 for the first term and repeat for n=2 and n=3)
y=4x-9
y=x-3
(2, -1)
(solve using equal values method or substitution)
(x- 4)2
x2-8x +16
[(x-4)2=(x-4)(x-4) use generic rectangle to multiply]
Write the equation of a line that has a slope of -1/2 and goes through the point (2, -4)
y=-1/2x - 3
(use y=mx+b, given m(slope) and plug the point given into x & y and solve for b)
(2x2)4/8x10
2/x2
What are the next three terms for the sequence: 12, 10.5, 9, 7.5
6, 4.5, 3
2x-8y=22
(7, -1)
(if you use elimination you must multiply top equation by -2 so the x's match, or you can subtract 7y from top equation to get x=-7y and use substitution)
(x+3y)(2x+5y)
2x2 +11xy +15y2
(use generic rectangle)
write the equation of a line that goes through the point (-2, -9) and (3,1)
y = 2x - 5
(find the slope m=(y-y)/(x-x), the plug into y=mx+b and plug in one point given into x & y and solve for b)
(12x1015)/(6x10-7)
2x1022
Is 150 a sequence value in the sequence -7, -3, 1, 5
No
(the equation t(n)=4n-11 models the sequence, solve equation for n: 15=4n-11, n= 40.25, n can only be positive integers)
4x=-13+y
3x+2y=4
(-2, 5)
(can use substitution if you change the first equation to y=4x+13 (added 13 to both sides to get y alone) or can use elimination if you move y to the left side in the first equation 4x-y=-13 then multiply this by 2 -> 8x-2y=-26)
(x-y)2
x2-2xy+y2
[(x-y)2=(x-y)(x-y) use generic rectangle to multiply]
Write the equation of a line that goes through the points (3,1) and (6, 0)
y = -1/3x + 2
(find slope m=(y-y)/(x-x) then use y-mx+b and plug in m and one point for x & y and solve for b)