Algebra
Solve for y: 2y + 4 = 10
y = 3
Find the perimeter of a rectangle with a length of 8 inches and a width of 5 inches.
Perimeter = 2 ×(Length + Width)
26 inches
Evaluate 3 + (−7)
-4
A standard six-sided die is rolled. What is the probability of rolling a 3?
1/6
You have a rectangular garden with a length of 8 yards and a width of 5 yards. How much space do you have inside the garden to grow vegetables?
40 square yards
Simplify: 2x + 5 −3x
5 - x
Calculate the area of a square with a side length of 6 inches.
Area = Side Length × Side Length
Area =36 square inches
Simplify (−5) − (−2)
-3
In a standard deck of cards, what is the probability of drawing a red card?
1/2
You are planning a party and need to buy snacks. If each bag of chips costs $1.50 and you want to buy 4 bags, how much will you spend?
$6
Solve for y: 4y − 7 = 5
y = 3
If the diameter of a circle is 10 inches, find its radius.
Radius = Diameter/2
5 inches
Multiply (−4) × 6
-24
A bag contains 4 red balls, 3 blue balls, and 2 green balls. If one ball is randomly selected, what is the probability of choosing a blue ball?
3/9 = 1/3
A train travels at a speed of 60 miles per hour. How far will the train travel in 12 hours?
720 miles
Factorize: x2 − 9
(x + 3)(x - 3)
Find the volume of a rectangular prism with a length of 4 inches, a width of 3 inches, and a height of 2 inches.
Volume = Length × Width × Height
24 cubic inches
Evaluate (−2)3
-8
Two six-sided dice are rolled. What is the probability of getting a sum of 7?
6/36 = 1/6
You are organizing a school event and need to distribute 120 pamphlets equally among 8 classrooms. How many pamphlets will each classroom receive?
15 pamphlets per classroom
Solve for x: 2(x − 4) = 3x + 5
x = -13
Calculate the area of a right-angled triangle with a base of 8 inches and a height of 10 inches.
Area = 1/2 × Base × Height
40 square inches
A hiker starts at a mountain base which is at an elevation of 200 feet above sea level. Over the course of the hike, the hiker does the following:
Climbs up 350 feet.
Descends 180 feet to rest at a plateau.
Climbs another 220 feet to reach a higher plateau.
Descends 260 feet down to a valley.
Climbs 150 feet to reach the final resting spot.
What is the hiker's final elevation above sea level?
How much total elevation change (both up and down) did the hiker experience during the entire hike?
The hiker’s final elevation is 480 feet above sea level.
The hiker experienced a total elevation change of 1,160 feet during the hike.
A bag contains 5 red marbles and 3 blue marbles. If one marble is drawn without replacement, what is the probability of drawing two red marbles in a row?
5/8 x 4/7 = 20/56 = 5/14
You borrow $500 from a bank, and the annual interest rate is 8%. How much interest will you owe after one year?
$40