Equivalent Expressions
5x+2x = 7x
True or false
True
x+7=12
x=5
x−4≤10
x≤14
A concert venue charges $20 per ticket and a one-time booking fee of $15. If a group spends $95 in total, how many tickets did they buy?
The group purchased 4 tickets.
Define Variable:
A symbol, usually a letter, used to represent an unknown or changing value in an expression or equation.
Which expression is equivalent to 3(x+4)?
A. 3x+4
B. 3x+12
C. x+12
D. 3x−12
B
3y=18
y=6
−3y>12
y<−4
A gym charges a $25 registration fee and $10 per month for membership. If you want to spend no more than $95, how many months can you afford the membership?
You can afford the membership for 7 months or fewer
Define Expression
A mathematical phrase that can include variables, numbers, and operations but does not have an equality or inequality sign.
Simplify 4(x+2)
4x+8
Solve for x:
2x+5=15
x=5
2x+3≥13
x≥5
A school cafeteria charges $4 per meal and a one-time fee of $10 for a meal card. If a student spends $34, how many meals did they buy?
The student bought 6 meals.
Define Inequality
A mathematical statement that compares two expressions using inequality symbols (<, ≤,>, ≥).
Find and fix the mistake
6x+12=6(x+6)
Either 6x+36 or 6(x+2)
Solve for z:
z/4−3=7
z=40
2/z−6<4
z<20
A bookshop sells notebooks for $3 each and a one-time charge of $5 for a membership card. If you spent $26 in total, how many notebooks did you buy?
You bought 7 notebooks.
Identify the four Inequality Symbols
Make this statement true
6x+3=3()
3(2x+1)
3x-6=39
x=15
4x+6>22
x>4
A babysitter charges $8 per hour and a $12 transportation fee. If a parent wants to spend no more than $60, how many hours of babysitting can they afford?
The parent can afford up to 6 hours of babysitting.
What does it mean to isolate a variable?
The process of rearranging an equation or inequality to get the variable alone on one side