Everything about algebra 1

Multi-step equations

100

x + 1 = 3

x = 2

200

x - 1 = 3

x = 4

300

2x = 6

x = 3

400

x/2 = 6

x = 12

500

x² = 4

x = 2

Equations with variables on both sides

100

12 + x = 30 + 3x

x = -9

200

4x + 16 = 13x - (2x + 3x)

x = 4

300

x + 36 = 3x

x = 18

400

6x + 1 = 8x + 3

x = -1

500

6x + 3 = 9x + 6

x = -1

Compound inequalities

100

-7 < -3x - 2 ≤ 5

-7/3 ≤ x < 5/3

200

2y ≤ 2 OR 3y ≥ 0

real numbers

300

-2 < 2x - 3 < 5

1/2 < x < 4 (or) the interval (1/2, 4)

400

 1 < x < 3

x > 1 and x < 3

500

-4 ≤ 3x + 2 < 5

-2 ≤ x < 1

Multi-step equations with distribution

100

3p + 4p + 37 = 79

p = 6

200

w + w + 12 = 40

w = 14

300

5r - r - 9 = 15

r = 6

400

(6n+8n) + (3+2) = 33

n = 2

500

4m+2=15

m=3.25

absolute value

100

Arrange the given numbers in ascending order.

-|-14|, |12|, |7|, |-91|, |-5|, |-8|, |-65|, |6|

-14, 5, 6, 7, 8, 12, 65, 91

200

Find the absolute value of a number -12/5

|-12/5| = 12/5

300

Find the absolute value for the following numbers:

(a) |-1/2|

(b) |72|

(c) |3/4|

(a) |-1/2| = 1/2

(b) |72| = 72

(c) |3/4| = 3/4

400

|−18|

 |−18|=18

500

|-16|

16