Multi-Step Equations

One-Step Equations

100

8m = 24

What is m?

8m = 24

m = 3

200

 11 + r = 29

What is r?

r + 11 = 29

r = 18

300

7h = 21

What is the value of h?

7h = 21

h = 3

400

a/9 =-3

What is the value of a?

a/9 = -3

a = -27

500

x - 4.3 = 5.7

What is the value of x?

x - 4.3 = 5.7

x = 10

2-Step Equations

100

2x + 3 =19

x = 8

200

-3k - 1 = -13

k = 4

300

-5m - 2 = -47

m = 9

400

-7b - 9 = 12

b= -3

500

0.5h - 7 = -9.5

h = -5

Multi-Step Equations

100

-3m - 2m = 15

What is m?

-3m - 2m = 15

-5m = 15

m = -3

200

-10p + 9p = 12

Solve for p

-10p + 9p = 12

-1p = 12

p = -12

300

3 - 1/8 (-9 - x) = 43

What is the value of a?

x= 311

400

(a + 3)/6 = -2

Find the value of a.

(a + 3)/6 = -2

a + 3 = -12

a = -15

500

1/3 (9t - 6 - 6t) = 2

What is the value of t?

t = 4

Multi-Step Equations

100

8b + 3b = 22

What is b?

8b + 3b = 22

11b = 22

b = 2

200

19x -5 - 24x = 10

What is the value of x?

19x - 24x -5 = 10

19x -24x = 15

-5x = 15

x = -3

300

1/3 (1-x) = 8

What is the value of a?

2a + 5a -20 = 8

7a - 20 = 8

7a = 28

a = 4

400

(x-2)/2 = -2

What is the value of y?

y=-4

500

1/2 (-12m + 24) = 12

What is the value of m?

-6m - 6 + 18 = 24

-6m + 12 = 24

-6m = 12

m = -2

World Problem

100

The Magic Carpet charges $90 for installation and $9 per square yard of carpeting.  The Carpeteria’s installation price is $50 but the store charges $13 for each square yard.  For what number of square yards of carpeting will the costncluding installation, be the same for both stores?

10 square yards

200

Prestige Car Rentals charges $44 per day plus 6¢ per mile to rent a mid-sized vehicle.  Gateway Auto charges $35 per day plus 9¢ per mile for the same car.  For what number of miles will both companies charge the same price?

300 miles

300

Nilda has $250 in her savings account. She plans to save $15 a week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take for them to have the same amount in savings?

10

400

One Kroger offers a 110 dollar signing bonus and then 8 dollars an hour. Another Kroger offers a 50 dollar signing bonus but 17 dollars an hour. How many hours a work will it take for the two to be equal?

60/9 hours OR 6 AND 2/3 OR 6.67

500

There are 10 students inside a classroom, and 5 enter every second. In a different classroom there are 32 students but 2 exit every second. At how many seconds will they have the same amount of students?

22/7

3.142