Solving Equations
Equations Word Problems
Graphing Inequalities
Solving Inequalities
Inequalities Word Problems
100
solve for x:
5x + 8 = 48
x = 8
100
A jewelry Kit contains round beads in 5 different colors plus 120 star-shaped beads. There are 200 beads in all. Write and solve an equation to determine how many round beads are there in each color.
5x + 120 = 200
5x = 80
x = 16
100
Draw a number line and graph the following:
x ≥ 2
100
solve for b:
4b - 50 < 18
b < 17
100
A soccer team needs to have at least 11 players. Only 4 people have signed up to play on the team so far. Write and solve an inequality to determine how many more people need to sign up.
4 + x ≥ 11
x ≥ 7
7 or more people
200
solve for y:
-3y - 7 = 35
y = -14
200
The total cost of Ryan's car was $7500. He initially paid $3000 and then made 36 equal payments to pay off the total cost. Write and solve an equation to determine how much he paid each month.
7500 = 3000 + 36p
4500 = 36p
125 = p
200
Draw a number line and graph the following:
x < -4
200
solve for j:
2j + 7 > 21
j > 14
200
John has 10 months and he needs to read more than 100 books. He has already read 20 books. Write and solve an inequality to determine how many books he needs to read each month.
10x +20 > 100
x > 8
more than 8 books each month
300
solve for m:
-4m - 16 = -36
m = 5
300
A family buys 4 airline tickets. Each ticket has travel insurance that costs $19 per ticket. In total, the family spent $752. Write and solve an equation to determine the cost of one ticket.
752 = 4(x+19)
752 = 4x + 76
676 = 4x
169 = x
300
What inequality is shown on the graph?
x ≤ -1
300
solve for i
-25i +10≥ -100
i ≤ 4.4
300
The cost of renting a car is $25 per day plus a one time fee of $75.50 for insurance. How many days can the car be rented if the total cost is to be no more than 525?
25x+75.50 ≤525
x ≤ 17.98
17 t-shirts or less
400
solve for x:
9(x+3) = 54
x = 3
400
The measurement of an angle is 45 more than one quarter of its supplement. Find the measure of the angle and its supplement by setting up an equation.
x + 1/4x+45 = 180
x = 108
1/4x+45 = 72
400
What inequality is shown on the graph?
x > 1
400
solve for r
-8 ≤ 17 - 5r
5 ≥ r
400
A local car dealership is trying to sell all of the cars that are on the lot. Currently there are 525 cars on the lot, and the general manager estimates that they will sell 50 cars per week. Estimate how many weeks it will take for the number of cars on the lot to be less than 75.
525 - 50w < 75
w > 9
500
⅓(y+15) = 20
y = 45
500
A vendor pays a band ⅓ of the total profit from T-shirts and sweatshirts sold at their concerts. The profit from T-shirt sales was $1,632, and the vendor paid the band $726. What was the profit from sweatshirt sales?
⅓(1632 + x) = 726
544 + ⅓x = 726
⅓x = 182
x = 546
500
What inequality is shown on the number line?
x > -2.5
500
solve for x:
-⅙ x - 5 ≥ -5
x ≤ 0
500
Sally's bank account has $650 in it. Every week, Sally withdraws $50 to pay for her dog sitter. What is the maximum number of weeks that Sally can withdraw the money so there is at least $75 remaining in the account?
650-50w ≥ 75
w≤11.50
Sally can withdraw the weekly fee for 11 weeks