1-Step Equations
x+3=7
x=4
2x+3=11
x=4
This is the term for a number that stands alone in an expression, not attached to a variable.
What is a constant?
Distribute: 5(x+3)
5+15
Sarah earns $20 for helping her neighbor, plus $2 for each extra chore she completes. If she made a total of $26, how many extra chores did she complete?
Equation: 20+2c=26
Solution: c=3
Answer: Sarah completed 3 extra chores.
y−5=10
y=5
5y−4=16
y=4
This part of an expression is a symbol, like "x" or "y," that represents an unknown number.
What is a variable?
Distribute: −2(y−4)
-2y+8
Sarah earns $60 per shift as a waitress, plus $10 for every table she serves. If she made a total of $130 one night, how many tables did she serve?
Equation: 60+10t=130
Solution: t=7
Answer: Sarah served 7 tables.
a/6=8
3z+7=−5
z=-4
In the expression 3x + 7 - 4y, these are the coefficients.
3, -4
Solve for x: 3(x+2)=21
x=5
Max earns $10 for each dog he walks, plus a $5 bonus if he walks more than one dog. If he made a total of $25, how many dogs did he walk?
Equation: 5+10d=25
Solution: d=2
Answer: Max walked 2 dogs.
−3b=12
b=-4
1/2a−6=10
a=32
This is the term for the number in front of a variable in an expression, showing how many times the variable is multiplied.
What is a coefficient?
Distribute and simplify: 4(2x+1)+3x
11x+4
Emma earns $50 a week, plus $5 for each item she sells. If she made a total of $70 in a week, how many items did she sell?
Equation: 50+5s=70
Solution: s=4
Answer: Emma sold 4 items.
4/3x=6
x=8
−4b+9=1
b=2
This is the property used when you expand 3(x+4) to 3x+12.
What is the distributive property?
Solve for y: 6(y−3)=2y+12
y=7
Liam makes $20 for mowing a lawn, plus $4 for each bag of leaves he collects. If he made a total of $32 in one day, how many bags of leaves did he collect?
Equation: 20+4b=32
Solution: b=3
Answer: Liam collected 3 bags of leaves.