Order of Operations
Simplify
12 \div (36 \div 9) +6
9
Simplify
5y+3y+y
9y
Simplify
\frac{15}{25}\div 0
Undefined
Solve for x
10x+5-9x+14=20
x=1
The numbe rof gallons left in a gas tank after driving d-miles is given by the following function:
G(d)=17-0.05d
a) Which is larger, G(50) or G(100)?
b) Why does your answer make sense?
b) You drive less miles, you should have more gas in your tank
Solve the system of equations
x+2y=-7
3x+4y=-13
x = 1, y = -4
Simplify
25 \div 5^2 - 7
-6
Simplify
5a^2+9a+15-3a+8a^2+8-8a
13a^2-2a+23
Simplify
\frac{(3-4)+(4-3)}{(45a-28a)13.4
0
Solve for x
8(x-1)-12x=-3(x+5)
x=7
Your profesor calculates the course grade by adding the four exam grades, g_1, g_2, g_3, g_4 then adding twice the final grade, f , and then dividing the total by 6.
Whats the expression?
\frac{g_1+g_2+g_3+g_4+2f}{6}
Solve the System of Equations
x+3y=0
20x-15y=75
x=3, y = -1
Simplify
(12 \div 3 \times 5 - 4)^2
256
Simplify
\frac{5}{6}x+\frac{3}{10}x+\frac{1}{6}x+\frac{7}{10}x
2x
Simplify
(2.3)(8.4)(1.1)\frac{3\cdot 0}{4}
0
Solve for x
-(\frac{2}{3}b-\frac{1}{3})+\frac{5}{3}b=-4
b = -\frac{13}{3}
Write an expression for the total cost of buying 8 pizzas at 𝑝-dollars each and 5 chick filet sammies at 𝑐-dollars each.
Using your epxression, find the total cost if the pizzas cost $6.48 each and chick filet costs $8.99 each.
1) 8p+5s
2) 96.79 dollars
Solve the System of Equations
3x-12y=6
2x-8y=4
Infinite Many Solutions
Simplify
36 \div 2 - (24 \div 2^2)
12
Simplify
-36 \times 11 \times \frac{4}{9}
-176
Simplify
\frac{1}{40h}\cdot (4,000h\cdot \frac{1}{100})
1
\text{Solve: }5y+7+3y=5(2y+1)-8
y=5
The number of cars, 𝐶 on UL’s campus, 𝑡-years after 1995 is modeled by this awesome function
C(t)=50t+100
How many cars are there on campus right now?
1,650 Cars on Campus
At a restaurant, the price for an adult seafood platter is $19, and the price for a child seafood platter is $8. One day a total of 32 seafood platters were served, and the restaurant made a total of $487 from seafood platter sales. How many adult platters and child platters were sold?
Adult = 21
Child = 11
Simplify
4 + 6 -10 \div 2
5
Simplify
\frac{(36-24)12.2}{(1-2)+(2-1)}
Undefined
Simplify
-4(-3x+2)+3(-4x-8)
-32
Solve
\frac{9}{5}x-\frac{1}{6}x=-4-\frac{11}{3}
x = -frac{162}{49}
Let f(x)=-3x^2+2x+1 Find the following function values:
a) f(2)
b) f(-2)
c) f(a+1)
a) -7
b) -15
c) -3a^2-4a
The bill for two lattes and three cappuccinos was $10.95, while the bill for one cappuccino and two lattes was $6.65. Write a system of equations to model this and determine how much each latte and cappuccino was.
Each Cappuccino is $2.15 and Each Lattee is $2.25. The system of equations that models this would be:
2L+3C=10.95
2L+1C =6.65