Multi-Step Equations
Solving Equations
4x + 3 = 7
What is:
x = 1
Solving Equations
6(6n - 2) = 8n - 40
What is:
n = -1
Write an equation: Softball: This season a player scores 6 runs more than three times the number of runs she bats in. She scores 108 runs this season.
3b +6 = 108
Solve for y.
3x + 2y = 2
What is:
y = (-3/2)x + 1
Solving Inqualities
3 + 10c < -37
What is:
c < -4
Solving Equations
4(6 + 5x) = 124
What is:
x = 5
Solving Equations
-4(-8p + 1) = -4 - 8p
What is:
p = 0
The speed must be no greater than 15 mph.
s < 15
Solve for x.
2x + 10y = -8
What is:
x = -5y - 4
Solving Inqualities
4(k + 1)> -68
What is:
k > -18
Solving Equations
-108 = -8(x + 6) - 4
What is:
x = 7
Solving Equations
6a - 7(2a + 4) = -33 - 8a
What is:
False statement, no solution
Money: a fitness club advertises a special for new members. Each month of membership costs $19, with an initial enrollment fee of $75. Write an equations to determine how many months were used when spending $227.
19m + 75 = $227
Solve for y.
7x - 5y = -25
What is:
y = (7/5)x + 5
Solving Inqualities
-8(6 +x)<16
What is:
x > -8
Solving Equations.
254 = -2v - 6(2 +6v)
What is:
v = -7
Solving Equations
-5(8n - 4) - n = - 16 - 5n
What is:
n = 1
Create an equation that represents the following scenario.
A sunflower in Julia's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeters per day. Write an equation expressing the sunflower's height, H, in terms of the number of days, d, since it was planted.
H = 0.6d + 12
Solve for x.
u = xk + y
What is:
x = (u - y)/k
Solving Inqualities
-43 > 8n + 5
What is:
n < -6
Solving Equations
-93 = 7(-3k - 8) + 5
What is:
k = 2
Solving Equations
-15 - 5x = 5(-x - 3)
What is:
True statement, infinite solutions
Create an equation that represents the following scenario.
Roman paid $150 to join a gym. He pays an additional $15 for every time he attends one of the club's live fitness classes. Let C = the total cost and n = the number of times he takes fitness classes.
C = 15n + 150
C = 150 + 15n
Solve for z.
3z + w = p
What is:
z = (p - w)/3
Solving Inqualities
-5(5 + p) < 25
What is:
p > -10