Expressions
Like terms have the same ________________ and ___________________
Variable and exponent
What's the difference between an equation and an expression?
=, expressions can only be simplified or evaluated, equations are solved.
Write an equation.
Craykee design Co. offers $8.5 per printed shirt but requires a $15 service fee for ordering through them. If one order cost $287, how many shirts did they print?
8.5x+15=287
x=4
Solve
8m-5=5m+7
m=4
Simplify
4z-7+3x-5
3x+4z-12
solve
4h-5=17
h=3
Write an equation
Gloria and Gabby went pumpkin picking together. Each pumpkin is priced by the pound. Gloria's pumpkin was 18lbs and Gabby's pumpkin was 15.5 lbs. If they spent $83.75, what was the price of the pumpkins per lb?
15.5x+18x=83.75
or
33.5x=83.75
3x-8+x=16-2x
x=4
x+7x+15x=29x+18
x=-3
Simplify
2(3x+6)-x+5
5x+11
3/5x-8=28
x=60
Write an equation and solve.
Maddie sells apple cider donuts at $7 per bag. One day she made $217 which includes $49 she made from selling hot cocoa. How many bags of donuts did Maddie sell?
x=24
5(x-7)+1=4x-34+x
All real numbers
Solve
6(z-2)+3=3z-15
z=-2
Evaluate when x=-3
-2(4x+3)+2x-9
3
Solve
5r-3(r+1)-5(r+1)=13
r=-7
Eddie and Andrew S build a model rocket with two types of booster packs. Eddie's air powered launch base gets the rocket 50 ft in the air, and then Andrew's flame thrower rockets shoot it higher by 30ft per second. if the rocket flew 170ft in the air, how man seconds did the rockets last?
30x+50=170
x=4
1.5(4x+10)-5x=3-x
x=-6
4h+2(h-6)+1=1+3(2h-4)
All real numbers
Evaluate when x=9
3x-5(5+3x)+36-4x
-133
What kind of solution would you label these three equation types?
1. x=0
2. 2x+3=2x+3
3. 17=-4
1. one solution
2. All real numbers
3. No solution
Write and solve the equation
Alex and Zoey both made the same amount of money one day with their mini pizza business. Alex sold 18 mini pizzas with an additional $40 worth of garlic knots. Zoey sold 10 pizzas with an additional $80 worth of garlic knots. How much did the pizzas sell for?
x=5
2(x+3+4x+5+6x)=-34-3x
x=-2
4(y-9)-5=-4+3(2y-8)-1
y=-6