Algebra
What is x if 3x+5=20x?
x = 5
What is the area of a rectangle with length 8 cm and width 3 cm?
Answer: 24 cm2
Add 1/4 + 2/4
3/4
If a car travels 60 miles per hour, how far will it travel in 3 hours?
180miles
What is the hypotenuse of a right triangle with legs of length 3 and 4?
5
Simplify: 2x+3x−4
5x - 4
What is the perimeter of a triangle with sides measuring 5 cm, 7 cm, and 9 cm?
21cm
Simplify: 8/12
2/3
Sarah bought 5 books, each costing $8. How much did she spend in total?
5×8=40 dollars
What is the sine of a 30'angle in a right triangle?
1/2
Solve for 𝑥: 5(x−2)=3x+4.
Answer: x = 6
What is the volume of a cube with a side length of 4 cm?
64cm3
Multiply: 3/4 x 5/6
15/24
A rectangle has a length of 12 cm and a width of 7 cm. What is the perimeter?
Answer: 2×(12+7)=38 cm
In a right triangle, if the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?
4/5
Solve for 𝑥: 2x2−4x=6
Answer: x= 3 or x= -1
What is the area of a circle with a radius of 5 cm?
78.5cm2
Divide: 7/9÷ 2/3
7/6
A car’s value depreciates by 10% every year. If the car is initially worth $20,000, how much is it worth after 3 years?
20,000×(0.9)3 =14,580dollars
Solve for θ: sinθ=3/5
θ=36.87'
Solve for x: 3(x−4)+2=5x−6
x = 2
In a circle with a radius of 6 cm, find the length of an arc subtended by a central angle of 60'
Arc length=2πr×θ/360
Answer: 6.28cm
Simplify the expression: 3/4+5/6−1/3
7/12
A rectangular swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. How much water is required to fill the pool?
25×10×2=500m3
Solve for θ: tanθ=1.
θ=45'