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Translating Expressions
Functions
Function Notation
Arithmetic Sequences
Mixed Review
100

Translate “Five more than a number x.”

x + 5 

100

True or False: Every function has exactly one output for each input.

True

100

If f(x)=2x+1 Find f(3)

7

100

What is the common difference in the sequence: 2, 5, 8, 11...

3

100

Translate: “Three times a number decreased by 7.”

3x-7

200

Translate: “Twice the sum of a number and 7.”

2(x+7)
200

Which of the following is NOT a function?
a) y=2x+3
b) y2= x
c) y=∣x∣
d) y=x3

b) y2 = x 

200

If g(x)=x2-4 find g (-2)

0

200

Write the next 3 terms of: 10, 7, 4

1, -2, -5

200

Is the relation { (2,3), (2,4), (3,5) } a function? Why or why not?

No, because x = 2 has two different outputs.

300

Translate “The quotient of a number decreased by 4 and 3.”

x-4/3 

300

What is the vertical line test used for?

To determine if a graph represents a function.

300

Explain what f(5)=12 means in words

When the input is 5, the function’s output is 12.

300

Explicit formula for sequence: 4, 7, 10, 13…

an= 4+3(n-1)

300

A movie theater charges $8 for each adult ticket and $5 for each child ticket. One evening, the theater collected a total of $1290 from ticket sales.

  1. Write an algebraic expression that represents the total cost of tickets if a adults and c children attended

8a + 5c = 1290 or just 8a + 5c

400

8 more than the quotient of a number and 2

x/2 + 8 

400

If a student assigns two different y-values for the same x, is it a function? Why or why not? 


No, because functions must have only one output for each input.

400

If h(x)=3x−7 solve x when h(x) = 5 

x=4

400

Recursive formula for sequence: 12, 9, 6, 3…

an= 12n-1 - 3

400

Find the 15th term of sequence: 1, 4, 7, 10…

43

500

Write an expression for: “The square of a number decreased by twice the number.”

x2 - 2x

500

Consider the relation:

{(1,2),(2,3),(3,4),(4,2),(5,6)}

Is this relation a function? Justify why or why not.

Yes, this relation is a function, because each input (x-value) is paired with exactly one output (y-value). Even though the output 2 repeats, the inputs do not repeat with different outputs.

500

A function C(t) represents the cost of renting a car for t days. If C(t)=40t+25, what does the 25 represent?

A $25 flat fee (the initial cost)

500

If the explicit formula is an=5n−2 find the 20th term.

a20 = 98

500

A function h(x)=50x represents earning $50 per ticket sold. Write an equation to represent earning $600. Solve for x. 


50x=600 → x=12