Free Printable Sequences & Inequalities

1.

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck cost $31.50. Write an inequality that represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

a)

$42x+31.5y\ge80$

b)

$42x+31.5y\le80$

c)

$42x+31.5y<80$

d)

$42x+31.5y>80$

2.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school would like to sell 3 senior citizen tickets and 2 child tickets for a total at least $42. Write an inequality that represents this situation.

a)

$3s\ +\ 2c\ >42$

b)

$3s\ +\ 2c\ <42$

c)

$3s\ +\ 2c\ \le42$

d)

$3s\ +\ 2c\ \ge42$

3.

You receive an $80 gift card to the bookstore. Hardback books cost $8 and paperback books cost $4. Write an inequality that represents this situation.

a)

$8h+4p\le80$

b)

$8h+4p<80$

c)

$8h+4p\ge80$

d)

$8h+4p>80$

4.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

The line would be dashed with shading below

5.

Which inequality represents the graph?

a)

x>3

b)

y<3

c)

x<3

d)

y>3

6.

$x\ge-2$

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

7.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

8.

In a sequence of numbers, $a_2=0,\ a_3=6,\ a_{4\ }=\ 12,\ a_5=18$ . Based on this information, which equation can be used to find the $n^{th}$ term in the sequence, $a_n$ ?

a)

$a_n=-6n+12$

b)

$a_n=-12n+6$

c)

$a_n=6n-12$

d)

$a_n=12n-6$

9.

A sequence can be generated by using $a_n=a_{n-1}-5$ and $a_1=15$ and n is a whole number greater than 1. What are the first four terms in the sequence?

a)

15, 20, 25, 30

b)

15, 75, 375, 1875

c)

15, -75, 375, -1875

d)

15, 10, 5,0

10.

In a sequence of numbers, $a_4=7,\ a_5=14,\ a_6=21,\ a_7=28$ . Based on this information, which equation can be used to find the $n^{th}$ term in the sequence, $a_n$ ?

a)

$a_n=-7n+21$

b)

$a_n=7n-21$

c)

$a_n=7n+21$

d)

$a_n=-7n-21$

11.

Which graph represents the inequality:

y\le\frac{7}{3}x-2

a)

A

b)

B

c)

C

d)

_D

12.

Which graph represents the inequality:

a)

A

b)

B

c)

C

d)

D

Sequences & Inequalities

Total questions: 12

Worksheet time: 40mins

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