Algebra 1 - Equations and Inequalities

Equations

100

What part of the military did Mr. Lawler serve in?

A. Air Force     B. Marine      C. Army

D. Navy      E. Coast Guard      F. Space Force

C. Army

200

Solve for x:

x/3 = 2

x = 6

300

Solve for x:

5x = 20

x = 4

400

Solve for m:

4/5m=28

m = 35

500

Solve for p:

-2.54 = p + 7.17

p = -9.71

Inequalities

100

Solve for x:

2x + 3 < 15

x < 6

200

Solve for a:

(1/2)a + 5 < 18

a < 26

300

Solve for t:

-t + 8 < 3

t > 5

400

What other schools has Mr. Lawler taught at?

Central and Luray High School

500

Solve for x:

-24 <=-10x + 3

x <=2.7

Multi-Step Inequalities

100

Solve for m:

5 >= 5m - 23 + 2m

m<=4 or 4>=m

200

Solve for x:

(x + 4) + 2x <= 67

x<=21 or 21>=x

300

Solve for x:

5x + 2 <= 2x + 14

x<=4 or 4>=x

400

Solve for x:

2(5x - 1) >3(x + 11)

x > 5 or 5<x

500

Solve for m:

9m - 4 > -3m + 5 + 12m

No solutions

-4 > 5

Select all that apply

100

Using the following inequality, select all numbers that apply.

 2x>=6 

A. -6       B. -3     C. 0     D. 3

E. 6      F. 9      G. 12      H. 15

D, E, F, G, H

200

Using the following inequality, select all numbers that apply.

 9(2+3x)<72 

A. -4       B. -2     C. 0     D. 2

E. 4      F. 6      G. 8      H. 10

A, B and C

Not D because it is on the dotted line.

300

What Colleges did Mr. Lawler Attend?

NC State and JMU

400

Using the following inequality, select all numbers that apply.

 

30/(x-5)<=8

A. -10       B. -6     C. -2     D. 2

E. 6      F. 8      G. 12      H. 14

A, B, C, D, G, and H

500

Using the following inequality, select all numbers that apply.

 

9(3-x)+6x>=7-3x

A. -20       B. -10     C. 0     D. 10

E. 20      F. 30      G. 40      H. 1000

A, B, C, D, E, F, G, and H

Because it it all real solutions

Word Problems

100

Solve:

Five friends equally split a restaurant bill that comes to $32.50. How much does each friend pay?

Each friend pays $6.50.

5x = 32.50

200

What was Mr. Lawler's summer job?

Strasburg Pool Manager

300

Solve:

Two buildings have the same total height. One building has 8 floors with height, h. The other building has a ground floor of 16ft and 6 other floors with height, h. Write and solve an equation to find the height, h, of these floors.

8h = 16 + 6h
h = 8

WORK
8h = 16 + 6h
8h - 6h = 16 + 6h - 6h
2h = 16
2h/2 = 16/2
h = 8

400

Solve

Online concert tickets cost $37 each, plus a service charge of $8.50 per ticket. The Web site also charges a transaction fee of $14.99 for the purchase. You paid $242.49. How many tickets did you buy?

You bought 5 tickets.

WORK
37t + 8.50t + 14.99 = 242.49
45.5t + 14.99 = 242.49
45.5t + 14.99 - 14.99 = 242.49 - 14.99
45.5t = 227.5
45.5t/45.5 = 227.5/45.5
t = 5 ~~~> 5 tickets

500

Solve

Pristine Printing will print business cards for $0.10 each plus a setup charge of $15. 

The Printing Place offers business cards for $0.15 each with a setup charge of $10. 

What number of business cards costs the same from either printer? 

Printing 100 cards would cost the same from either business.

WORK

0.10n + 15 = 0.15n + 10

0.10n - 0.10n + 15 = 0.15n - 0.10n +10

15 = 0.05n + 10

15 - 10 = 0.05n + 10 - 10

5 = 0.05n

5/0.05 = 0.05n/0.05

100 = n ~~~>100 cards

BONUS answer: It would cost $25.00 to make 100 cards from either place.

WORK

0.10n + 15 = ??

0.10(100) + 15 = 25 ~~~>$25.00

0.15n + 10 = ??

0.15(100) + 10 = 25 ~~~>$25.00

Random

100

Solve for b:

-7 = b - 3

b = -4

200

Solve:

You work for 4 hours on Saturday and 8 hours on Sunday. You receive a $50 bonus. You earn $164.00 total. How much did you earn per hour?

You earned $9.50 per hour.

WORK

4x + 8x + 50 = 164

300

Using the following inequality, select all numbers that apply. 

(16-x)/3>=x

A. -4       B. -2     C. 0     D. 2

E. 4      F. 6      G. 8      H. 10

A, B, C, D, and E

400

Solve for x:

(x – 7)/3 < -12

x < -29

500

How many cats does Mr Lawler have?

14