Algebra 1
A movie ticket costs $12.50. If Lily buys 3 tickets, how much does she spend in total?
$37.50
Two numbers have a sum of 25. When the larger is divided by the smaller, the result is 1.5. Find the numbers.
15 and 10
A circle has a radius of 7 cm. Find its circumference.
14pi
Solve for X in degrees and radians:
sin(x) = Sqrt(3) / 2
60* or pi/3
120* or 2pi/3
The quiz scores are: 5, 8, 10, 7. Find the mean, range, and median.
Mean: 7.5
Range: 5
Median: 7.5
A car travels 180 miles in 4 hours. If it travels at a constant speed, how long will it take to travel 270 miles?
6 hours
A parabola has the equation y=x2+4x+c
If the point (2, 14) is on the parabola, find the value of c.
c=2
A trapezoid has bases of 10 cm and 16 cm. Its area is 78 cm². Find its height.
6 cm
An airplane climbs at an angle of 15∘. After traveling 2 km along its flight path, how high is it above the ground?
0.518 km
A bag contains 5 red, 3 blue, and 2 green marbles.
If you randomly draw one marble, what is the probability that it is not blue?
7/10
The sum of two consecutive integers is 45. Find the smaller integer.
22
The height (in meters) of a ball thrown upward is given by h=−5t2+20t+1
After how many seconds does it reach its maximum height?
2 seconds
A rectangular prism has a length of 8 cm, width 5 cm, and height 10 cm. Find its total surface area
340 cm2
Solve for x:
Log2 (3x-1) = 4
5.67
In a normal distribution with mean 50 and standard deviation 5, what is the z-score of an x- value of 60?
z=2
A cell phone plan charges $30 per month plus $0.10 for each text message. If Mateo’s bill was $55, how many text messages did he send?
250
A town’s population grows by 8% each year. If it starts with 10,000 people, what will the population be after 3 years?
12,597
A right triangle has one leg of 9 cm and a hypotenuse of 15 cm. Find the other leg.
12cm
A town’s population increases by 5% each year. If there are 1,000 people now, how many will there be after one year?
1050 people
A bag has 6 red and 4 blue marbles. Two marbles are drawn at random without replacement. What is the probability both are red?
1/3
A rectangular garden is 5 meters longer than its width. The perimeter is 50 meters. Find its dimensions.
10m by 15m
Solve for x
32x−1=81
2.5
A circle has radius 10 cm. A chord is 12 cm long. Find the distance from the center of the circle to the chord.
8cm
A population triples every 6 years. How long will it take to grow from 500 to 40,500?
24 years
In a class, 60% of students play sports, and 40% of those who play sports also play an instrument. If 20% of students who don’t play sports play an instrument, what percent of all students play an instrument?
32%