Exponents
Rewrite the expression in simplified form with no negative exponents.
m-3
1/m^3
6x(x+2)
6x^2 + 12x
Solve for y:
6x-2y=4
y=3x-2
y=2x
5-y=3x
(1,2)
Is the point (4,2) a solution to the system?
2x + 3y = 14
y = 2x - 6
Yes! (must show work)
Rewrite the expression in simplified form with no negative exponents.
(2m4)(5m2)
10m6
4y(3x-2y+7)
12xy - 8y^2 + 28y
|x+7|=11
x = 4, -18
3x+2y=-2
6x-2y=5
(1/3,-3/2)
Is the point (-2,4) a solution to the system?
3x + 6y = 18
y = 3x + 10
Yes! (must show work)
Rewrite the expression in simplified form with no negative exponents.
2m^3n^2*3mn^4
6m4n6
(x+4)(x-3)
x^2 + x - 12
|2x-3|=23
x = 13, -10
3x-5=y
6x-2y=10
Write a system of equations that would be best solved by elimination.
Answers vary.
Rewrite the expression in simplified form with no negative exponents.
(x^2/(2y^3))^4
x^8/(16y^12)
(y-4)(y-2)
y^2-6y+8
(x-1)(x+7)=(x+1)(x-3)
x = 1/2
y=2x-9
y=1/4x+5
(8,7)
You’ve decided to give your best friend a bag of marbles for his birthday. Since you know that your friend likes green marbles better than red ones, the bag has twice as many green marbles as red. The label on the bag says it contains a total of 84 marbles.
Write a system of equations.
2g = r
r + g = 84
Rewrite the expression in simplified form with no negative exponents.
(14a^3b^2)/(21a^4b)
(2b)/(3a)
(4x+3)(4x-3)
16x^2-9
2x-5(x+4)=-2(x+3)
x = -14
4x+y=2
3x+y=1
(1,-2)
On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the number of burritos sold. Pizza sold for $2.50 a slice and burritos for $3 each. The cafeteria collected a total of $358 for selling these two items.
Write a system of equations.
p = 2b - 20
2.5p + 3b = 358