Algebra Basics
Solve for x: 7x−4 = 3(2x+1)
x = 7
In a right triangle, one leg is 5 and the hypotenuse is 13. Find the other leg.
12
A phone originally costs $200 and is discounted by 25%. What is the sale price?
150
What is the slope of the line passing through (2,3) and (6,11)?
2
4sqrt(3)
Solve for x: (2x + 5)/4 = (x - 3)/2
No solution
In a triangle, two angles are equal and the third angle is 40°. What is the measure of each equal angle?
70
A car travels 180 miles in 3 hours. At the same speed, how long will it take to travel 300 miles?
5 hours
If f(x)=2x+1, find x if f(x) = -2 ?
-3/2
5x^2 = 80
±4
Solve the System: 2x + y = 10
3x - y = 5
(3,4)
How many degrees is a supplementary angle?
180
Tickets to a concert are $40 for adults and $25 for students. If 6 adults and 8 students attend, what is the total cost?
430
The graph of y = (x - 4)^2 + 3 has its vertex at what point?
(4,3)
f(x) = 1/x find f(f(4))
4
Solve for x: |2x - 5| = 9
x = 7, x = -2
The coordinates of a rectangle are (0,0), (0,3), (4,3), and (4,0). Find its diagonal length.
5
A bag contains red and blue marbles in a ratio of 3:5. If there are 40 marbles in total, how many are red?
15
If f(x) = 3x + 2 and g(x) = x^2, find (f∘g)(2).
14
Solve for x: 5^x = 1/25
-2
x = 4
A tangent and a chord intersect at a point on a circle. If the intercepted arc measures 220 what is the measure of the angle formed between the tangent and the chord?
110
A store increased the price of a jacket by 20%, then later applied a 25% discount on the new price. If the original price was $80, what is the final price?
What is the maximum value of -x^2 + 6x - 5?
4
Graph a Piece Wise function
f(x) = x + 2 if x < -1
x + 2 if x ≥ -1