Variables
(2r - 7)/9 = 3
What is r = 17?
2r - 7 = 27
2r = 34
r = 17
Solve: (1/2)-3 + 1/(4-3)
What is 72?
(1/2)-3 = 8
1/(4-3) = 64
8 + 64 = 72
What is the solution to the system below?
y = -3x - 2
6x + 2y = -4
What is Infinite/All Solutions?
Factor:
-9a4b2 + 405a2
What is -9a2(a2b2 + 45)?
4(t - 7) = 3(2t + 3)
What is t = -37/2?
4t - 28 = 6t + 9
-2t = 37
t = -37/2
b-4c0d6
What is d6/b4?
What is the solution to the system below?
3x + 9y = 0
36x - 18y = -126
What is (-3, 1)?
Expand/Distribute: (x + 7)(x - 4)
Hint: Use FOIL
What is x2 + 3x - 28?
(3x + 4)/5 = (2x - 8)/7
What is x = -68/11?
7(3x + 4) = 5(2x - 8)
21x + 28 = 10x - 40
11x = -68
x = -68/11
7k-8h3
What is (7h3)/k8?
A farmer raises chickens and cows on his farm. There are 34 animals on the farm and the farmer counts 110 legs in total. How many chickens and cows are there on the farm?
What is 13 chickens and 21 cows?
Expand/Distribute:
(4z - 9)(3z + 4)
What is 12z2 - 11z - 36?
Jessica and Lisa are buying a television for their room. Because Jessica is older than Lisa, Jessica will pay $45 more than Lisa. If the television costs $299, then how much does Lisa have to pay?
What is $127?
($45 + x) + x = $299
2x + 45 = 299
2x = 254
x = 127
(9w-4)/(x-2y7)
What is (9x2)/(w4y7)?
What is the solution to the system below?
-3a + 8b = 94
-12a = 375 - 32b
What is No Solutions?
Factor:
2x(x + 1) - 6(x + 1)
What is (2x - 6)(x + 1)?
At a nearby bowling alley, it costs $2.50 for shoes and $4.25 for each game bowled. Peter went there and spent $15.25 to bowl. How many games did Peter bowl?
What is 3 games?
(5c-4)(-4m2c8)
What is -20c4m2?
Primoris Academy has a basketball game and they need to sell a total of 292 tickets. An adult ticket costs $3 and a student ticket costs $1. The student government collected $470 in total ticket sales. How many adult tickets and student tickets were sold?
What is 89 adult tickets and 203 student tickets?
x = adult tickets, y = student tickets
x + y = 292 --> y = -x + 292
3x + y = 470 --> y = -3x + 470
-x + 292 = -3x + 470
2x = 178
x = 89 adult tickets
y = 203 student tickets
Expand/Distribute + Solve:
2(t2 - 2ts + s2) - 4(t2 + 2ts + s2)
What is -2t2 - 12ts - 2s2?