Solve for X
Inequalities
Simplify
Percentages
Word Problems
100
4x = −28
x = −7
100
On Saturday, Bianca has $50 on her debit card when she goes out with some friends. She uses her debit card to spend $14.50 on lunch. She and her friends would like to go to see a movie, but some of her friends are out of money. If the movie tickets cost $6.50 each, how many tickets can Bianca buy without overdrawing on her debit card?
Write an inequality to represent the situation.
14.50 + 6.50x ≤ 50
100
Write an equivalent expression that uses only addition.
4x−7y−5z+6
4x + (-7y) + (-5z) + 6
100
Andre wants to buy a backpack. The normal price of the backpack is $40. He notices that a store that sells the backpack is having a 30% off sale. What is the sale price of the backpack?
$28
100
A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation.
How many markers were originally in each box?
45 markers
200
⅓x = 6
x = 18
200
The school marching band has a budget of up to $750 to pay for 15 new uniforms and competition fees that total $300.
Write an inequality to represent this situation. Use x as your variable.
15x + 300 ≤ 750
200
Simplify:
150x + (-40x) - 12 + 50x - 1
160x- 13
200
The Rivera family went out to eat at a restaurant to celebrate a birthday. The bill for the meal, including tax, came to $126.50. They left a tip in the amount of 18% of the bill. How much did the Rivera family pay for the meal, including tip?
$149.27
200
On the first math exam, 16 students received an A grade. On the second math exam, 12 students received an A grade. What percentage decrease is that?
25%
300
−¼x +5=16
x = -44
300
Attila works for a moving company. She and her 3 coworkers each move furniture at the same rate. Before lunch, they each moved 12 pieces of furniture. They want to move at least 100 pieces over the entire day, how many pieces do they each need to move after lunch?
Create an inequality for the situation.
100 ≤ 48 + 4x
300
Use the distributive property to write an expression that is equivalent to this expression.
9(4x−3y−23)
36x−27y−207
300
The label on Adriana’s carton of juice has this information listed. One serving size equals ½ cup. Each serving has 30% of the recommended daily amount of vitamin C. Yesterday, Adriana drank 2¼ cups of juice.
What percent of the recommended daily amount of vitamin C was in the juice Adriana drank yesterday?
135%
300
A baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached 538 pounds. How much did he gain each month?
58 lbs per month
400
−¼ (−8x + 24) = 9
x = 9
400
Solve the inequality:
0.4x − 10.6 > 15
x > 64
400
Simplify:
-24x +16 - (-24x) + 30
46
400
Alannah sold 20 football tickets to this week's game. She makes a 20% commission per ticket.
If Alannah made $160, how much does one ticket cost?
Each ticket is $40
400
Leah is saving up to buy a set of cookie making supplies. The set includes baking sheets, cookie cutters, spatulas, and metal mixing bowls and costs $200. Leah has $40 saved up. To make more money, Leah is going to sell cookies to her friends. She plans to charge $1.50 per cookie, and any extra money she earns will go towards other baking supplies (like sugar).
Write and solve an inequality that represents the number of cookies Leah should sell to save at least $200 total.
40 + 1.5x ≥ 200
x ≥ 106.67 rounded to 107.
500
(2/5)(x+40)=−4
x = -50
500
Solve the inequality:
(x/5) + 19 < 11
x > −40
500
-2 ¼ + 8 + (-1 ¾)
4
500
A museum opened at 8:00am. In the first hour, 350 people purchased admission tickets. In the second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50. What was the total amount of money paid for all the tickets purchased in the first two hours?
$13,475
500
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to help him move some equipment. Now there are 78 players on the field. How many players are on each team?
15 players