Functions
Functions Basics
If f(x)=2x+3, what is f(4)?
11
Solving Equations
Solve for x: 2x+5=11.
What is x = 3?
Geometry Basics
What is the sum of the interior angles of a triangle?
What is 180 degrees?
Properties of Operations
What property is shown in the equation:
5+(3+7)=(5+3)+7
What is Associative Property of Addition?
Identifying Functions
Does the set of points {(1,2),(2,4),(3,6),(4,8)}represent a function? Why or why not?
Yes, because each input (x - value) has exactly one output (y - value).
Solving Inequalities
Solve for x: 3x − 4 > 5.
Geometry Basics
A quadrilateral has four angles measuring 90°, 80°, 70°, and x. Find x.
What is 120 degrees?
Simplifying Expressions
Simplify: 4(2x - 3) + 5x
What is 13x - 12?
Function Notation
If g(x)=x2−5x+6, find g(2).
0
Graphing Inequalities
When graphing y < 2x+3, should you use a solid or dashed line?
What is a dashed line?
Perimeter and Area
A rectangle has a length of 8 cm and a width of 5 cm. What is its area?
What is 40 cm2?
Solving Equations
Solve for x: 3x - 7 = 2x + 5
What is x = 12?
Evaluating Functions
If f(x)=3x−2, what is f(5)?
System of Equations
Solve the system of equations:
y=2x+1
y=−x+4
What is (1,3)?
Perimeter and Area
The circumference of a circle is given by C=2πr. If the radius is 7 cm, what is the circumference?
C = 2 * 7 * pi = 14 * pi = 43.98 cm
Exponents and Powers
Simplify: (2x3y2)(3x2y4)
What is 6x5y6?
Graphing Functions
What test can you use on a graph to determine if it represents a function?
Vertical Line Test
Real - World Applications
A company charges a $50 service fee plus $20 per hour for repairs. Write an equation for the total cost C based on hours worked h, and find C if they work for 3 hours.
What is C = 20h + 50?
The total cost is $110.
Interpreting Data
What is the median of the data set: 5, 8, 12, 15, 18, 20, 22?
What is 15?
Factoring
Factor Completely: x2 - 9x + 18
What is (x - 3)(x - 6)?