Multi-Step Equations
2c + 3 = 7
c = 2
u = x - k , for x
x = u + k
-2a > 6
a < -3
Write an equation for:
the sum of a number, n, and five is thirteen
n+5=13
|−3 r| = 9
r = -3, 3
-4b = -8b + 12
b = 3
g = 6x , for x
x = g / 6
a-15> -4(-6+3a)
a > 3
Write an equation for:
2 more than the product of 5 and a number, x, is 12.
5x + 2 = 12
|b/5|=1
b = 5, -5
7x + 6 = 5 (2x+3)
x = -3
am = n + p , for a
(n+p)/m
26 + m < 5(-6+3m)
m > 4
In the 2024 Summer Olympics, the China won 12 more than two times the number of gold medals won by Great Britain. Together, these countries won 54 total gold medals.
Write a one-variable equation to model this real-world problem using the variable y
y + (2y + 12) = 54
| x + 5 | – 1 = 9
x = -15, x = 5
5 n + 34 = −2( 1 − 7 n)
n = 4
u=(ak)/b, solve for a
a=(ub)/k
-10b+3≤-37 or 3b-10≤-25
b≥4 or b≤-5
A machine is used to fill bottles with 64 ounces of juice. After the bottles are filled, another machine remeasures the amount of juice in the bottle. If the bottle has 0.9 ounces more or less than the desired 64, the bag is rejected.
Write an absolute value equation using j as a variable.
| j – 64 | = 0.9
|7p + 4|/8 = 3
p = 20/7 and -4
−5(1−5x)+5(−8x−2)=−4x−8x
x = -5
g=(1+2a)/a, solve for a
a=1/(g-2)
-5≤3m-5≤16
0≤m≤7
Kai wants to start his own landscaping business. He bought a lawn mower and some additional supplies for $723.47, and he plans on charging $19 per hour. Kai wants to know how many hours he must work to make a profit of at least $3000. He writes the inequality to model his situation:
19h-723.47≥3000
Solve the inequality for h. Round to one decimal place, if necessary.
h≥119.8
3|3 − 5r| − 3 = 18
r = -4/5 and 2