Solving Multistep Equations 1
7(4 - t) = -84
t = 16
x + 3x = -8
x = -2
Solve: -7b > 42
What is b < -6
An equation that shows the total amount of money (t) that will be in the account after m months for the following - Javier has $2,500 in his bank account. Every month he withdraws $150. He does not add money to the account.
t = -150m + 2500
A plumber charges $50 for a service call plus $30 per hour of service. Cost if it takes him 4 hours to fix your kitchen sink.
What is $170?
-2(x - 9) = -24
x = 21
4x + 9 = 33
x = 6
Solve: b/3 ≥ -2
What is b ≥ -6
Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. The equation that represents is
What is w = -4m + 260 ?
Brianna has a business making birthday gift baskets. She estimates that her monthly costs for rental of a small storage unit, and advertising, and electricity are $280. The cost of the ingredients for one basket, as well as the cost of the basket, total $16. Total costs this month if she sold 20 baskets.
What is $600?
-13(4 + 2a) = 208
a = -10
4(y - 2) + y = -13
y = -1
Solve: -3(2n + 1) > 9
What is n < -2
A water tank contains 105 gallons of water when Baxter begins to drain it. Water flows out of the tank at a rate of 8 gallons per minute. Write a linear equation in slope-intercept form that represents the volume of water, v, after m minutes.
v = -8m + 105
Jose inherited a bank account form his grandmother that had a balance of $2,300. He withdrew $320 per month to pay his car loan, but did not withdraw anything else, or deposit anything into this account. Identify a linear model for this situation. (variable letters don't matter)
b = -320m + 2300
3(x - 4) +12 = 36
x = 12
-6(m + 1) + 18 = 24
m = -2
Solve: 5m - 3 ≥ -18
What is m ≤ -3
Betsy budgeted $350 to buy school supplies for her classes this school year, out of her own money, and due to the budget crisis problems she is spending $75 per month on school supplies. Write an equation in slope-intercept form representing the balance of her budget, b, as a function of the amount she is spending per month, m.
b = -75m + 350
Your business of selling a particular product has fixed startup costs, f, of $5,000 and variable costs of $7.25 per product item, p. The linear model for this business.
What is c = 7.25p + 5,000
3(2(x + 5))-5 = 7
x = -3
7k - 8 + 2(k + 12) = 52
k = 4
5c + 4(c - 1) > 3c + 2(5 + 3c)
No Solution
Tim buys a new computer for his office for $1200. For tax purposes, he declares a linear depreciation (loss of value) of $200 per year. Write a linear model representing the value, v, of his computer as a function of the amount it depreciates each year, y.
v = -200y + 1200
Business with a variable cost of $6.50 per item sold and a monthly budget of fixed costs or $790. Linear model for the total monthly costs of the business. (Variable letters don't matter)
c = 6.5i + 790