Integrated Math I Chapter 2 Review

One-Step and Two-Step

100

(2/3)x = 2

x = 3

200

(3/5)x = 12

x = 20

300

-(4/5)x = 18

x = -(45/2)

400

12 - 5x = -33

x = 9

500

1/2x + 3/4 = 5/8

x = -1/4

Multi-Step

100

3x + 2x = 100

20

200

5x + 3 = 2x - 9

-4

300

6 + 2(x + 3) = 15

3/2 or 1.5

400

8x + 7 - 3x = 2(x + 5)

1

500

6x + 3(x - 4) = 10 - 8(9 + 2x)

-2

Absolute Value

100

|x| = 21

x = 21

x = -21

200

|x| + 7 = 31

x = 24

x = -24

300

|x| + 9 = 2

No Solution

400

|x + 6| = 18

x = 12

x = -24

500

3|x + 15| + 8 = 32

x = -7

x = -23

Verbal Sentences

100

A number increased by 12 is 25

x + 12 = 25

200

Twice a number decreased by 18 is 9

2x - 18 = 9

300

twice a number plus 7 is equal to 21

2x + 7 =14

400

7 plus a number times the quantity of a number minus 3 is the same as 53

7 + n(n - 3) = 53

500

the product of 4 and the quantity of a number minus 3 equals 12

4(x-3)=12

Literal Equations

100

d = rt for r

r = d/t

200

6w - y = 2z for w

w = (2z + y) / 6

300

mx + 4y = 3c for x

x = (3c - 4y)/m

400

(m - x) /a = b for m

m = ab + x

500

(a + b)/c = d, for a

a = cd - b