Simplifying Expressions
What are exponents and variables
To isolate the variable in x + 7 = 15, you would perform this operation:
What is subtract 7
In two-step equations you should look to get rid of this first
What is the constant
This must be done before solving when an equation has parentheses, such as 2(x+3)=14
What is distribute
Ava buys 3 bracelets and spends $6 on a necklace. If her total cost was $18, write an equation to represent the cost of one bracelet.
What is 3x + 6 = 18
When combining like terms, the sign goes with the number it is:
What is in front of
The inverse operation used to solve equations like 4x=20
What is division?
In the equation 4 - 2x = -10, many students first add 4. Identify the correct first step
What is subtract 4 from both sides
Solve:
2(x-1) = 10
What is x=6
A group of friends attend the movies together. They paid $16 for tickets and $2 for each bag of popcorn. If the group of friends spent $24 total, write an equation for how many bags of popcorn they purchased.
What is 16 + 2x = 24
This property allows you to remove parentheses by multiplying the outside number to everything inside.
What is the distributive property
This step is required first when solving
x/6 = -9
What is multiply both sides by 6
Solve:
2x + 5 = 17
What is x = 6
3x + 5 - x = 17
What is x=6
For a field trip, each student pays $15 plus a flat bus fee of $120. If the total collected is $315, write an equation that represents this equation.
What is 15x + 120 = 315
Simplify this expression:
3x + 4 - 2x + 7
What is:
x + 11
Solve the equation:
x - 9 = -3
What is: x = 6
Solve:
3x - 4 = -13
Solve:
4(x+2) - 3x = 13
What is x=5
A gym charges a $25 sign-up fee plus $18 per month. If Maya paid $115 total, write and solve an equation to determine how many months she was a member for?
What is 5 months?
Simplify this expression using the distributive property:
5(2y-3) - 4y + 8
What is 6y - 7?
Solve the equation:
-5x = 40
What is x = -8
Solve:
-7x + 9 = 30
What is: x = -3
Solve:
5(2x-1) - 3x = 23
What is x=4
4 soccer players each buy a soccer ball and 2 water bottles. The cost of a soccer ball is $21 and the group's total was $184. Determine the price of each water bottle.
What is $12.50