Solving for a Variable

Evaluate Expressions

100

m + p ÷ 5; use m = 1, and p = 5

Answer = 2

200

y ÷ 2 + x; use x = 1, and y = 2

Answer = 2

300

z(x + y); use x = 6, y = 8, and z = -6

Answer = -84

400

z − (y ÷ 3 − 1); use y = -3, and z = 7

Answer = 9

500

6q + m − m; use m = -8, and q = -3

Answer = -18

Two-Step Equations

100

12 = 7a – 2

a = 2

200

-50 = 3c – 2

c = -16

300

–2 = m/3 + 4

m = – 18

400

–35 = –4x – 7

x = 7

500

4(z + 1) = 32

z = 7

Variables on Both sides

100

13a – 14 = 10a – 2

a = 4

200

12a – 11 = 9a + 1

a = 4

300

26 + 5a – 10 = –4a + 1 + 4a

a = –3

400

6r + 2 – r = 2r + 4 + 3r

no solution (NS)

500

CHALLENGE:

7m – 4m + 1 = 9m + 1 – 6m

Infinite Solutions

Combining Like Terms

100

−8k + 7k

-1k

200

−2x + 11 + 6x

4x + 11

300

12r + 5 + 3r − 5

15r

400

−5n + 3(6 + 7n)

16n + 18

500

−9(6m − 3) + 6(1 + 4m)

-30m + 33

Miscellaneous

100

Which animal is the only mammal capable of true flight?

Bat

200

What did ancient Romans use as deodorant?

Olive Oil (and then they scraped it off)

300

What animal can see behind itself without turning its head?

Rabbit

400

What is the fastest-growing plant in the world, capable of growing up to 35 inches in a day?

Bamboo

500

What animal can taste with their feet?

A Butterfly