Combining Like Terms
Simplify this equation:
9m-3m-8
What is:
6m-8
To solve a two-step equation you...
What is:
1. Undo the addiction/subtraction (to remove constant term)
2. Undo the multiplication/division (to remove coefficient)
Substitution method is...
What is:
A method of solving systems of equations by substituting equations within one another.
The elimination method is...
What is:
The process of removing the variable from the system of linear equations.
Two times a number added to another number is 25. Three times the first number minus the other number is 20.
Find the numbers.
What is:
(9,7)
Constant terms are...
What is:
Terms without a variable
Solve this equation:
17=-4g+9
What is:
g=-2
Solve this system by substitution:
y=6x
2x+3y=-20
What is:
(-1,-6)
Solve this system by elimination:
y=3x+4
y=x-2
What is:
(-3,-5)
List the steps to solving systems of equations by word problems...
1. Understand the problem.
2. Translate the problem to an equation.
3. Carry out the plan and solve the problem.
Combing like terms means...
What is:
To combine common variable terms and constant terms
List the steps to solve a multi-step equation...
What is:
1. Distribute
2. Combine like terms
3. Solve two-step
Solve this system by substitution:
y=x+9
3x+8y=-5
What is:
(-7,2)
Solve this system by elimination:
x+4y=13
x-y=3
What is:
(5,2)
At a baseball game, Henry bought 5 hotdogs and 3 bags of chips for $14.82. Scott bought 7 hotdogs and 6 bags of chips for $22.89.
Find the cost of each hotdog and bag of chips.
What is:
Hotdogs (x)=$2.25
Chips (y)=$1.19
Simplify this equation:
27a+8b+2-13a-2b-7
What is:
14a-6b-5
Solve this equation:
-3(r-8)-(r+5)=23
What is:
r=-1
Solve this system by substitution:
2x-3y=-11
2x+y=9
What is:
(2,5)
Solve this system by elimination:
x-y=10
3x+y=18
What is:
(7,-3)
Disney held a breakfast for parents and children to eat with Mickey Mouse. Adult tickets cost $17.95 and children's tickets cost $12.95. Disney made $7455 from ticket sales from a total of 500 people that attended. How many adults and how many children were at breakfast?
Solve.
What is:
Adults (x)=176
Children (y)=324
Simplify this equation:
4x²-7+2x-3x²+8x-6
What is:
x²-10x-13
Solve this equation:
2(3p+4)=5p+1
What is:
p=-7
List the steps to solving a system by substitution...
1. Solve one equation for x or y
2. Substitute this expression into the other equation and solve for the variable
3. Substitute your answer into the revised equation from 1 and solve for the other variable
Solve this system by elimination:
x+3y=6
2x-7y=-1
What is:
(3,1)
Gabe has 60 coins consisting of quarters and dimes. The combined value of the coins is $9.45. How many quarters and dimes does Gabe have?
Solve.
What is:
Quarters (x)=23
Dimes (y)=37