Functions
Evaluate f(1) for the function f(x)=3x+2.
f(1)=3(1)+2=5.
Solve for x: x+5=10.
x=5.
Find the y-intercept of the line y=2x+3.
The y-intercept is 3.
Solve the inequality x−2<3.
x<5.
What is the 5th term of the arithmetic sequence defined by ^an=2n+1?
The 5th term is a5=2(5)+1=11.
If g(x)=x^2−4, what is g(3)?
g(3)=(3)^2−4=5.
Solve for x: 3x=12.
x=4.
Determine the x-intercept of the equation y=4x−8.
The x-intercept is 2.
Solve for x: 2x+1≥5.
x≥2.
Find the common difference of the arithmetic sequence: 3, 7, 11, 15.
The common difference is 4.
Find the output of h(x)=2x−5 when x=4.
h(4)=2(4)−5=8−5=3.
Solve for x: x^2−16=0.
x=4 or x=−4.
What is the slope of the line represented by y=−3x+6?
The slope is -3.
Solve the inequality 3x−4>2.
x>2.
What is the 10th term of the sequence defined by ^an=5n−2?
The 10th term is a10=5(10)−2=48.
Calculate f(0) for the function f(x)=−2x+3.
f(0)=−2(0)+3=3.
Solve for x: 5x−3=12.
x=3.
Find the vertex of the quadratic function y=x^2−4x+3.
The vertex is (2,−1).
Solve the compound inequality 1≤x+2<5.
The solution set is -1≤x<3.
If the first term of a geometric sequence is 2 and the common ratio is 3, what is the 4th term?
^an=a1⋅r^(n−1)
The 4th term is a4=2⋅3^3=54.
If f(x)=x+6, what is f(−2)?
f(−2)=−2+6=4.
Solve the equation 2x+8=20.
x=6.
Identify the x-intercepts of the function y=x^2−1.
The x-intercepts are 1 and -1.
Solve the inequality 4−x≤2.
x≥2.
What is the sum of the first 5 terms of the arithmetic sequence: 1, 4, 7, …?
The sum of the first 5 terms is 25.