Linear Equations
Find the value of x in the following equation:
2x+12=17+7x
x = -1
What are the solutions to the equation
x^2+9x=-18 ?
x=-3,-6
The formula for the money earned, m , at a school’s car wash event is m=3n-25, where n is the number of cars washed. Which equation is equivalent to this formula solved for n?
n=(25+m)/3
Solve the compound inequality:
3x + 4 < -5 or x - 2 > 3
x < -3 or x > 5
How can the equation below be rewritten to solve for c?
b=-a+cx
c=(a+b)/x
Find a polynomial that expresses the difference of these two polynomials:
(6a^6-5a^4+3a)-(5a^6+a^4-a)
a^6-6a^4+4a
A personal chef charges a $75 fee for house visits and $50 an hour for their time. They use a linear model y=50x+75, where x is the number of hours worked and y is the total amount charged. They decided to change their hourly fee to $100 an hour. Select the linear model below that the chef can use to calculate the total amount to charge with the new hourly fee.
y = 100x + 75
What is the domain of the relation?
{ (2,5),(1,-5),(3,-6),(-1,0) }
{-1,1,2,3}
Which expression is equivalent to
3(a+b)+2(2a-b)-5(3a+2b)?
-12a-9b
The quadratic expression x^2+5x-24 can be factored into (x+8)(x-3).
What are the ordered pairs that represent the zeros of this expression’s related quadratic graph?
(3,0) & (-8,0)
The value of a Pokemon card in dollars has been found to be 0.25y+.50, where y is the number of years since it was released. By how much is the Pokemon card’s value increasing per year?
$0.25
17 less than 3 times a number is -20. What is the number?
-1
Put the linear equation 2x+4y=8 into slope-intercept form.
y = (-1/2)x+2
Enter the minimum value for the function
f(x)=2x^2-16x+3
-29
A bakery charges a base fee of $50 per cake, plus an additional $0.75 for every decoration added to the cake. If Mrs. Begay wants to spend less than $68 dollars in total on a cake for her students, which of the following inequalities represents the number decorations, d, that she can add to the cake?
$50 + $0.75 < $68
What is the range of the given relation?
{ (2,3),(-1,-2),(3,0),(4,-2) }
{-2,0,3}
Put the linear equation into -3x+6y=12 slope-intercept form
y= (1/2)x + 2
Find the x-intercepts of x^2+7x+12=y
(-4,0)(-3,0)
A box falls off of a warehouse shelf from a height of 16 ft. The function H=-16t^2+16 gives the height h in feet of the box after t seconds. When does the box hit the floor?
After 1 second (t=1)
Simplify the expression (15x^2yz^5)/(3xy^2z^3)
(5xz^2)/y