EXPRESSIONS
Simplify: 3x+5x
8x
Solve for x: 2x+3=11.
x=4
Define a function.
A relation in which each input has exactly one output.
Solve the inequality: 4x-5<7
x<3
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives the car for 150 miles, how much will the total charge be?
$80
What is the value of 2(a+3)−4 when a=2?
6
What are the solutions for the equation x2−9=0?
x=3 and x=-3
What is the domain of the function f(x)= 1/x?
The domain is all real numbers except x=0.
Graph the inequality: y>-3x+2
Mrs. Scar will check!
If a rectangular garden has a length that is 3 feet longer than its width and the perimeter of the garden is 30 feet, what are the dimensions of the garden?
Expand the expression: (x+4)(x−2).
x2+2x-8
Solve for y: 3y−4=5y+2.
y=-3
Determine if the relation is a function: {(1, 2), (2, 3), (1, 4)}
Solve for x: -2x+3>-1
x<2
A store is having a sale where all items are discounted by 25%. If a jacket originally costs $80, what is the sale price of the jacket?
$60
Factor the expression: x2+5x+6.
(x+2)(x+3)
What is the slope of the line given by the equation y=2x+3?
Slope = 2
What is the range of the function f(x)=x2?
The range is 0 to positive infinity.
Write the solution set for x2-16<0
-4<x<4
A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker wants to use 6 cups of sugar, how many cups of flour will be needed?
9 cups
If f(x)=2x2+3x−5, what is f(−1)?
-6
Solve the system of equations: 2x+3y=12 and x−y=1.
x=2 and y=3
What is the inverse of the function f(x)=3x+2?
The inverse is f-1(x) = (x-2)/3
Solve for x: 9<10-2x
x<1/2 or 1/2>x
The sum of three consecutive integers is 48. What are the integers?
The integers are 15, 16, and 17.