Keystone Review Algebra

Find the 20th term in the arithmetic sequence –4, 1, 6, 11, 16,...

• 95

• 72

• 96

• 91

Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.

–5, –11, –17, –23, –29, . . .

• Yes; common difference 6; next three terms are –23, –17, –11

• Not an arithmetic sequence

• Yes; common difference –7; next three terms are –36, –43, –50

• Yes; common difference –6; next 3 terms are –35, –41, –47

Sylvie is going on vacation. She has already driven 60 miles in one hour. Her average speed for the rest of the trip is 57 miles per hour. How far will Sylvie have driven 7 hours later?

• 402 miles

• 420 miles

• 459 miles

• 399 miles

Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?

(-3,5) , (3,-7) , (7,-15) , (9,-19)

• function only

• neither a relation nor a function

• both a relation and a function

• relation only

Which of the following tables represents a function?

• 
• 
• 
• 

Which of the following relations describes a function?

• { (2, 3), (3, 3), (4, 3), (5, 3) }

• { (-2, 0), (0, -2), (0, 2), (2, 0) }

• { (0, 0), (2, -2), (2, 2), (3, 3) }

• { (3, 3), (3, 4), (3, 5), (3, 6) }

Find the domain of the function:

y = -x² + 5

• {all real numbers}

• {all real numbers greater than or equal to five}

• {all real numbers less than five}

• {all real numbers between negative three and three}

The elements of a function of x are (7, 8), (70, 17), and (700, 107). What is the domain of the function?

• {693}

• {7, 8, 17, 70, 107, 700}

• {7, 8, 70}

• {7, 70, 70}

According to the table below, what is the range of the data?

• 12, 20, 30, 42, 56

• 3, 4, 5, 6, 7

• 9, 16, 25, 36, 49

• 6, 8, 10, 12, 14

At LMHS, t-shirts sell for $17.56 and cost $12.01 to produce. Which equation represents p, the profit, in terms of x, the number of t-shirts sold?

• p = $17.56 + $12.01x

• p = x($17.56 - $12.01)

• p = $17.56x - $12.01

• p = x($17.56 + $12.01)