Slope intercept
What is the slope intercept form?
y=mx+b
What is the longest side of a right triangle called?
The hypotenuse
What is the exponential notation for 6 x 6 x 6 x 6 x 6?
65
√49 = ?
7
Solve for y: x + y = 10
x - y = 4
y = 3
What does m represent?
Slope
True or False, the formula a2+b2=c2 applies to all triangles?
False
26 210 =?
216
3√64 = ?
4
Find the value of K for which the system of equations has infinitely many solutions: 3x - 2y = 8 and 9x+ ky = 24
K = -6
A food truck business has fixed daily operating costs of $150 and spends $3 to make each taco. Write the total daily cost(y) as a function of the number of tacos made(x).
y = 3x + 150
A right triangle has legs that are 9 cm and 13 cm long. What is the length of the hypotenuse?
15.8113883008 cm
3
Simplify: 11(√2 + √10)/√3 + √5
22
A theater sold 150 tickets for a play. Student tickets cost $5 each and adult tickets cost $12 each. If the total revenue was $1,310, how many adult tickets were sold?
80 adult tickets.
A line has a slope of -3/4 and passes through the points (2, 5) and (-6, K). Find the value of K
K = 11
A drone flies 9 miles to North, then 7 miles to East, and finally 3 miles to South. How many miles is the drone directly from its starting point?
√85 or 9.22 miles
Solve for x: 8x-2=16x+1
x= -10
Simplify : 4√48x5y8
2xy2 4√3x
Pump A and Pump B can drain a pool in 4 hours. If Pump A runs alone for 2 hours and then Pump B finishes the rest alone, it takes Pump B another 7 hours to complete it. How many hours would it take for Pump A to drain the pool completely alone?
6 hours and 40 minutes.
A line passes through the point (3, 4) with a slope of -2. Find the area of the triangle formed in the first quadrant by this line, the x-axis and y-axis.
25 square units.
A 25-foot ladder is leaning against a vertical wall. The base of the ladder is 7 feet away from the wall. If the top of the ladder slides down 4 feet, how many feet further away from the wall will the base of the ladder slide?
8 feet further away.
Find the value of x that satisfies the equation:
32x+1-10(3x)+3=0
x= 1 or x= -1
Solve for x : √2x+9 - √x + 1 = 2
x = 0 or x = 8
Madison invested a total of $10,000 into two accounts. Account A earned 5% annual interest and Account B earned 8% annual interest. If her total interest after one year was $680, then how many dollars did she invest in Account B?
$6,000