Evaluate without using a calculator.
2+3^2times2-(1-2)
21
Find the sum.
(2x^2+x-5)+(x^2+x+6)
3x^2+2x+1
Solve for x.
-10x+6x-30=12x-62
x=2
Solve for y.
2y+9<5y+15
y> -2
Solve for h.
A=1/2bh
h=(2A)/b
Determine whether the relation is a function. Explain.
(5,-2), (10,-4), (10,-6)
No. The relation is not a function because the input 10 has two outputs, -4 and -6.
What is the value of f(x) = 5x + 1 when x = 3?
16
Determine the domain and range of the function.
Domain: all real numbers
Range: [1, ∞)
Write an equation of the line in slope-intercept form.
y=-1/3x+4
Write an equation of the line in slope-intercept form that passes through the given points.
(-4,-18) and (0,2)
y=5x+2
You have a lawn mowing business. You charge $10 per lawn, and you had $20 of expenses to start the business. Write an equation to describe this situation.
y=10x-20
Graph the function.
f(x)=2x+3
Solve the system of linear equations.
4x+y=-1
-5x-y=0
(1,-5)
Evaluate without using a calculator.
3^0times7^6 times 7^-4
49
Graph the function.
f(x)=2(2)^x
The population of Hillville is currently 5,000 people. The population grows at an annual rate of 15%. Write an equation to describe this situation.
y=5000(1.15)^t
Determine whether the table of values represents a linear, exponential, or quadratic function. Explain.
The table of values represents an exponential function because as x increases by 3, y is multiplied by 4.
Multiply.
(3x-2)(2x+7)
6x^2+17x-14
Factor.
4x^2+28x
4x(x+7)
Solve.
x^2+5x-14=0
x=2 and x=-7
Solve the system of linear equations.
4x+4y=-8
-2x-2y=4
Infinitely many solutions.
Solve the equation using the quadratic formula.
2x^2-x-1=0
x=1 and x=-1/2
Find the difference.
(4x^2-3x+5)-(3x^2-x-8)
x^2-2x+13
Factor.
x^2+13x-30
(x+15)(x-2)
Simplify the expression.
((3x)/2)^4
(81x^4)/16