Expressions
Solve: 3x + 3 - 2x = 21
x = 18
Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)}
No
What is the slope-intercept of a linear equation?
y= mx + b
Solve the system of equations below;
y = 4x-9
y= x- 3
(2, -1)
What does the a represent in the exponential equation y=abx?
The start value or y-intercept
Simplify: -4x(3x - 2) -2(4 + 3x)
-12x2+2x-8
What's the domain of x = 3?
3
Find the slope: 2(3x - y) = -10
m=3
Solve the system:
4x + y = 2 and x − y = 3
(1,-2)
Is the following exponential function increasing or decreasing? y=20(.98)x
Decreasing
Solve: (3x-5)/4 = 5
x = 25/3
Determine the range of f(x)=x2+6x-3
y>=-12
Write the following equation in slope-intercept form: 5(x + 2y) = 20
y= -1/2x +2
The cost of admission to a popular music concert was $162 for 12 children and 3 adults. The admission was $122 for 8 children and 3 adults in another music concert. Write a system of equations that models the information given.
12c + 3a = 162
8c + 3a =122
By what percent is the following function increasing by? y=10(1.21)x
21%
Solve for a: ax + b = c
a = (c-b)/x
The highest possible grade for a book report is 100. The teacher deducts 10 points for each day the report is late. Which kind of function describes this situation? linear, exponential or quadratic? Explain your answer.
Linear because it is going down at a constant rate
What's the slope of the line passing through (3,9) (5,4)
-5/2
For a concert, there were 206 more tickets sold at the door than were sold in advance. The tickets sold at the door cost $10 and the tickets sold in advance cost $6. The total amount of sales for both types of tickets was $6828. Write a system of equations that models the information given.
10d + 6a = 6828
d = 206 + a
By what percent is the following function decreasing by? f(x)=15(.83)x
17%
Simplify: a(b - c) - 2a(c + b)
-1ab - 3ac
For every input (x-value) there is only one output (y-value).
Find the equation of the line that passes through the points (-1,-2) and (3/10)
y=3x+1
Solve the system: 4x + 2y = 8 and 3x + 3y = 9
(1,2)
Kevin bought a car in 2020 for $30,000. The car depreciates in value each year by 18%. Find the cars value after 3 years.
$16,541.04