Fractions
Jamal ate 1/3 of a pizza, and Maria ate 2/3 of the same pizza. How much of the pizza did they eat in total?
They ate the whole pizza.
Sara has $20 to spend. She wants to buy notebooks that cost $3 each. Write an inequality to represent how many notebooks Sara can buy.
3x≤20, where x is the number of notebooks.
Sam buys 3 packs of gum, each costing $2, and a soda costing $1. Write and solve a linear equation to find how much Sam spent in total.
x=7x.
Sam spent $7.
You have $5 in your wallet. Then, you spend $10 on lunch. How much money do you have now?
−5
A rectangle has a length of 12 cm and a width of 4 cm. What is the area of the rectangle?
48cm^2
A recipe calls for 3/4 cup of sugar. You only have 1/2 cup of sugar. How much more sugar do you need?
1/4 cup of sugar
Jack needs at least 75 points on his next test to pass the class. If the test is worth 100 points, write an inequality to represent the scores he can get to pass.
x≥75, where x is Jack’s score.
A taxi charges $4 for the first mile and $2 for every additional mile. Write and solve a linear equation to find the total cost of a 5-mile ride.
4+2(5−1)=4+8=12.
The total cost is $12.
A scuba diver is exploring underwater. She starts at −45-45−45 feet, ascends 25 feet, then descends twice the amount she ascended. What is her final depth?
−70 feet.
A triangle has a base of 15 inches and a height of 10 inches. What is its area?
75in^2
A group of friends is sharing 5/6 of a cake equally among 3 people. How much cake does each person get?
5/18
Maria earns $12 per hour working at a store. She needs to earn at least $150 this week. Write an inequality to represent the minimum number of hours she needs to work.
x≥12.5.
Maria must work at least 13 hours
Lila is saving money for a concert ticket that costs $80. She already has $20 and saves $10 each week. Write and solve a linear equation to determine how many weeks, w, it will take her to save enough.
w=6w
It will take her 6 weeks.
A stock's value starts at -$15 per share. Over the next week, it gains $8 per share, loses $12 per share, and then gains $5 per share. What is the stock’s final value?
-$11 per share.
A circle has a diameter of 14 cm. What is its area? Use pi = 3.14.
153.86cm^2
A tank is 2/5 full of water. After adding 3/10 more water, what fraction of the tank is now full?
7/10 full
A company packs boxes that must weigh less than 50 pounds to be shipped. If the box itself weighs 5 pounds, write an inequality to represent the maximum weight of the items that can go in the box.
x<45
The items must weigh less than 45 pounds.
A store is having a sale: Buy one shirt for $25 and get each additional shirt for $15. Write and solve a linear equation to determine the total cost for 4 shirts.
25+15(4−1)=25+45=70.
The total cost is $70.
A hiker starts at an elevation of −250 feet below sea level. Over the next three hours, they ascend 120 feet per hour. Then they descend 80 feet in the final hour. What is their final elevation?
30 feet above sea level.
A trapezoid has bases of 8 cm and 12 cm, and a height of 5 cm. What is its area?
50cm^2
A farmer planted 3/8 of his field with corn and 5/12 with wheat. How much of the field is planted in total, and how much is left unplanted?
19/24 planted
5/24 unplanted.
A car rental company charges a $50 flat fee and $0.25 per mile driven. Write and solve an inequality to represent the maximum number of miles you can drive if you want to spend no more than $100.
x≤200.
You can drive up to 200 miles.
A cell phone plan charges $30 per month for unlimited texts and $0.10 per minute for calls. If your total bill for one month is $50, write and solve a linear equation to determine how many minutes of calls you made.
m=200.
You made 200 minutes of calls.
A business starts the year with a loss of -$2,500. In the first quarter, they earn $1,200. In the second quarter, they lose $3,400. In the third quarter, they gain $2,800, and in the fourth quarter, they lose $1,100. What is their final balance?
-$3,000.
A cylinder has a radius of 3 cm and a height of 8 cm. What is its volume? Use pi = 3.14
226.08cm^3