Systems of Equations
Solve:
y=2x-3
x+y=15
(6,9)
2x3*2x2
Find the slope: y = 3x + 5
Slope: 3
What is the multiplier of the following exponential equation:
y=4(6)x
multiplier: 6
Factor: x2-2x-15
(x+5)(x-3)
Solve:
3x=y-2
6x=4-2y
(0,2)
(x5y6)/(xy2)
x4y4
What is the slope of the line that crosses these two points:
(2,5) & (4,13)
Slope: 4
What is the multiplier of the exponential equation that goes through the points: (2,3) & (3,9)
Multiplier: 3
What is the vertex of the following equation:
y=(x-6)2-4
vertex: (6,-4)
The difference of two numbers is 3. Their sum is 13. Find the numbers.
(52x6)/(13x-7)
4x13
The equation of the line through (0,4) with a slope of -2
y=-2x+4
Write an exponential equation with an initial value of 100 and a multiplier of 1/2.
y=100(1/2)x
Use the Zero Product Property to find the roots of:
4x2-28x=0
x=0, x=7
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
1 burrito costs $2.50 & 1 soft taco costs $1.25
(2x4y-4)/(8x7y3)
1/4x3y7
What is the slope of the following equation:
2x + 2y = 8
slope = -1
What is the value of y when x=3 in the following equation: y=10(3)x
y=270
Use the quadratic formula to solve the following equation:
x2+5x-14
x=-7, x=2
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
senior ticket is $8 and the child ticket is $14
(-2a3b2c0/3a2b3c7)-2
9b2c14/4a2
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?
C=50h+25
After 8 hours, the cost will be 425
Kristin’s grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% interest compounded annually. Write an equation and find out how much money is in the account for Kristin's 16th birthday.
Equation: y=500(1.08)x
For Kristin's 16th birthday, she will have $1712.97
What is the vertex of the following quadratic equation: x2+4x-5
vertex: (-2,-9)