Evaluate without using a calculator.
2+32×2-(1-2)
21
Find the sum.
(2x2+x-5)+(x2+x+6)
3x2+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=12bh
h=2Ab
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=-13x+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.
30×76×7-4
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)
6x2+17x-14
Factor.
4x2+28x
4x(x+7)
Solve.
x2+5x-14=0
x=2andx=-7
Solve the system of linear equations.
4x+4y=-8
-2x-2y=4
Infinitely many solutions.
Solve the equation using the quadratic formula.
2x2-x-1=0
x=1andx=-12
Find the difference.
(4x2-3x+5)-(3x2-x-8)
x2-2x+13
Factor.
x2+13x-30
(x+15)(x-2)
Simplify the expression.
(3x2)4
81x416