Solving Equations
Solve the equation for x
2x+10=-20
x = -15
Solve for C
2C+4>10
C>3
Solve the following for y
-2x + 5y = 20z
y = (20z+2x)/5
Create an equation and solve!
A gym charges a $60 monthly fee and $5 every time you bring a friend. How many times did you bring your friend if you spent $80 last month?
60 + 5x = 80
x = 4 times
You can spend at most $95 at the mall
x < 95
Solve the equation for y
(5y-2)/6 = -7
y = -8
Solve for V
-3V+9<36
V>-9
2pr - 8p = 15
r = (15+8p)/2p
Create an equation for the situation below and solve:
You bought 4 t-shirts and 2 pairs of pants for $160. The shirts cost $15 each.
4(15) + 2x = 160
x = $50 for a pair of pants
Create an inequality for the situation below and solve:
The product of a number and 5 increased by 8 is at least -32. Find the number
5x + 8 > -32
x > -8
Find the value of x that satisfies the equation
4 = x + 10
3 15
x = 10
Solve for R
2R+18<3R+19
-1<R
Michael borrows money from his uncle, who is charging him simple interest using the formula, I = Prt. To figure out his interest rate, r, Michael rearranges the formula. What is his formula when solved for r?
r = I/Pt
Create an equation for the situation below and solve:
James sold half of his comic books and then bought 16 more. He now has 36. How many did he start out with?
x/2 + 16 = 36
40 comic books
Create an inequality for the situation below and solve:
12 decreased by the product of 2 and x is greater than the product of 5 and x increased by 40
x < -4
The solution to -2(1 - 4x) = 3x + 8 is what?
x = 2
Solve for Q
-2(Q-1)<10
Q>-4
The formula for blood flow is given by F = (p1 - p2)/r where F is the flow rate, p1 is the initial pressure, p2 is the final pressure, and r is the resistance created by blood vessel size. Solve the formula for p1.
p1 = Fr + p2
Create an equation for the situation below and solve:
The school soccer team purchased uniforms and equipment for a total cost of $912. The equipment cost $612 and the uniforms cost $25 each. How many uniforms did the school purchase?
612 + 25u = 912
12 uniforms
Create a linear inequality for the following and solve:
The math department wants to buy new textbooks and Chromebooks for the computer science lab. Textbooks cost $116 each and laptops cost $439 each. If the math department purchases 30 textbooks and can only spend $6500, how many laptops can they buy?
3480 + 439x < 6500
They can buy 6 laptops
Find the solution to the following equation:
4(x-7) = 0.3(x+2) + 2.11
x = 8.3
Solve algebraically for y
4(y-3)< 4(2y+1)
-4 < y
Solve the equation below for x
4(ax + 3) - 3ax = 25 + 3a
x = (13 + 3a)/a
100 less then four times a number is triple that number increased by 200. Find the number
x = 300
Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79 cents. If he can spend at most $16.00 at the carnival, create an inequality that can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on?
4.50 + .79r < 16
He can go on at most 14 rides