Algebra Topics
-4=2x+6
Solve and show your work
x=-5
15 - 3(2x+4)
A. -6x+19
B. -6x+3
C. 6x+27
D.6x+11
A
In a small business, 40 of the employees are men and 30 of the employees are women what is the ratio of men and women?
30:40
Find the mode of the following set of numbers: 3, 7, 3, 2, 9, 10, 3, 4, 5, 6.
Answer: 3
Solve both expressions below.
x2+y2-x=0
x2+y2-ax+2y+1=0
1. (1/2, 0) , r2=1/4 , r=1/2
2. a=1
Find the Slope of the graph for the following function.
f(3)=-1 f(8)=-6
5/11
solving system of nonlinear equation using substitution {3x+y=9 x²-y=-5}
y=21
Lebron brought a television set for $900 and paid a sales taxof 8%. how much did he pay for the television set?
He paid $972
The test scores of 7 students are: 85, 90, 75, 88, 92, 80, and 78. Find the median score.
Answer: 85
Find the curved surface area of a hemisphere whose radius is 14 cm.
Answer: 1232 cm2
Graph the region of the plane that satisfies
y<1/2x - 5
0<-5
False
6x+3y=33
6x-y=5
What is the solution (x,y) to the system of equations above?
(2,7)
Ricky and Nat are playing a video game. The ratio of Ricky's game score to Nat's game score is 1:3. Then Nat completes a quest and scores 48 points. The ratio of their scores becomes 5:9. What is Nat's score? What was Ricky's final score?
126:120
In a class of 30 students, 18 play football, 15 play basketball, and 7 play both. How many play neither?
Answer: 4
The base area of a cylinder is 154 cm2 and height is 5 cm. Find the volume of a cylinder.
Answer: 770 cm2
By substitution
x+3y=6
2x+8y=-12
x+3(-12)=6
x=42
{3x² + 3y²=27
3x²+2y²=23
x= +- square root 5
1.) $96 in 8 hours Dollars per hour?
2.) 36 miles in 4 days per day?
1. 12 per hour.
2. 9 miles per day.
A set of scores is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a randomly selected score is more than 130?
Answer: There will be a 2.28% chance of a score being more than 130.
Find the volume of a cone in terms π, whose radius is 3 cm and height is 4 cm.
Answer: 12π cm3
By Elimination
2x+3y=16
5x-4y=-6
2x+3(4)=16
x=2
(x+2)²+(y-2)²=1
solve by subtracting
(y-2)(y-3)=0
The ages of 10 students in a class are: 15, 16, 14, 15, 16, 15, 17, 16, 14, and 15. Find the mean age of the students.
Answer: 15.3
The marks obtained by a group of students in a test are 10, 20, 15, 25, 20, 30, 20, 15, 10, and 35. Find the range of marks.
Answer: 25 marks.
The length of a rectangle is 3 more inches than its breadth. The area of the rectangle is 40 in2. What is the perimeter of the rectangle?
Answer: 26 inches