One Step Equations
Two Step Equations
Two Steps px+q=r
Two Steps p(x+ q)=r
Word Problems
100
-3 + x = 5
x = 8
100
2x - 6 = 8
x = 7
100
-2 + 5x = 43
x = 9
100
The solution to the equation −2(x + 11) = −8 is
x = _.
x = −7
100
The yearbook club had a meeting. The meeting had 12 people, which is three-fourths of the club. How many people are in the club?
There are 16 people in the club.
200
Solve
d/-6 = −6
x = 36
200
3 - 6x = -15
x = 3
200
7 + 3x = 40
x = 11
200
Solve 4(x + 8) = 44
x = 3
200
Carlos wants to rent a video game console for $17.50 and some video games for $5.25 each. He has $49 to spend. How many games can he rent?
g = 6
So, he can rent 6 games.
300
-3 1/2= -1 1/4 b
Express the solution as a fraction or mixed number in simplest form.
28/10=b or 2 4/5=b
300
Solve
-1/2x − 7 = 18
x = -50
300
Solve 3.8 = 2x − 11.2
7.5=x
300
Solve 0.4(x − 7) = 18
x = 52
300
Regina had her birthday party at a family fun center. It costs $34.50 for food plus $9.25 per person for game and ride tickets.
If the total cost was $108.50, how many people attended the party?
p = 8 So, 8 people attended.
400
Solve
-6 = 3/5y
−10 = y
400
Solve 5x − 3.3 = 7.2
x = 2.1
400
Solve
2 + 1/6x = -4
x = -36
400
Solve −0.25(8 + x) = 14
x = -64
400
Sara is making 3 batches of chocolate chip cookies and 3 batches of oatmeal cookies. Each batch of chocolate chip cookies uses cups of flour. She will use
cups of flour for all six batches. Write and solve an equation to determine how many cups of flour are needed for each batch of oatmeal cookies.
f = 2
So, 2 cups of flour are needed for one batch of oatmeal cookies.
500
Solve −6 = 0.2b
−30 = b
500
Solve 1.3x + 1.5 = 5.4.
x = 3
500
Which equation is modeled on the algebra mat?
The equation modeled is 2x + 1 = 5.
500
Solve
1/2 (x − 4) = 5
x = 14
500
A parking lot is shaped like a trapezoid as shown. If the area of the parking lot is 846 square meters, what is the perimeter? (Hint: The formula for the area of a trapezoid is A =1/2h(b1 + b2)
The perimeter is 40 + 22.8 + 54 + 18 or 134.8 meters.