Algebra Chapter 2 Test Review - Solving Equations

3m + 2 = 18

Two added to three times a number m is the same as 18.

2 - 3m = 18

Two subtracted by three times a number m is the same as 18.

2a + a^3 = b

Twice a increased by the cube of a equals b.

(p + q) - 7 = 6

Seven less than the sum of p and q is as much as 6.

x + x^2 = yz

The sum of x and its square is equal to y times z.

4(f + g) = 6g

Four times the sum of f and g is identical to six times g.

A = s^2

The area A of a square is the length of a side s squared.

p = 4s

The perimeter P of a square is four times the length of side s.

A = (pi)r^2

The area A of a circle is pi times the radius r squared.

P = a + b + c

The perimeter P of a triangle is equal to the sum of the side lengths of a, b, and c.

V = lwh

The volume V of a rectangular prism equals the product of the length l, the width w, and the height h.

3(d + 4) = 32

Three times the sum of d and 4 is 32.

1/2(a - b) = 54

One-half the difference of a and b is 54.

4n - 8 = 12

Four times n minus eight equals 12.

a^2 + b^2 = c^2

The sum of the squares of a and b is equal to the square of c.

3t - 12 = 40

Three times a number t minus twelve equals forty.

m - 8 = n/2

A number m minus 8 is the same as a number n divided by 2.

x = 4

5x + 3 = 23

x = 4

10x + 6 = 46

x = 6

4 = 3x - 14

x = 6

6x - 28 = 8

x = 7

2x + 5 = 19

x = 7

-4x - 10 = -38

x = -7

6 + 5x = -29

x = -7

-12 - 10x = 58

x = 9

8 - 5x = -37

x = 9

-8 + 5x = 37

x = -6

18 - 4x = 42

x = -6

9 - 2x = 21

x = 1

Twice a number x plus four equals 6.

x = 3

Sixteen is seven plus three times a number x.

x = 5

4x + 10 = 30

x = 5

2x + 5 = 15

x = 5

-6x - 15 = -45

x = 10

2(x + 5) = 30

x = 2

5x - 16 = -6

x = 2

-5x + 16 = 6

x = 2

-10x + 32 = 12

x = 0

4x - 4 = -4

x = 0

4(x - 1) = -4

x = 12

4x - 4 = 44

43

2m + 12 = 3m - 31

25

2h - 8 = h + 17

2/3

7a - 3 = 3 - 2a

3

4n - 12 = 12 - 4n

-7

4x - 9 = 7x + 12

no solution

-6y - 3 = 3 - 6y

12

5 + 3r = 5r - 19

4

-9 + 8k = 7 + 4k

all real numbers

8q + 12 = 4(3 + 2q)

-2

3(5j + 2) = 2(3j - 6)

2

6(-3v + 1) = 5(-2v - 2)

-0.5

-7(2b - 4) = 5(-2b + 6)

1

3(8 - 3t) = 5(2 + t)

13

2(3u + 7) = -4(3 - 2u)

-6

8(2f - 2) = 7(3f + 2)

x = -3

15 = -5x

x = 3

-15 = -5x

x = 1/3

5 = 15x

x = -1/3

-5 = 15x

x = 27

20 = x - 7

x = 13

20 = x + 7

x = -13

-20 = x - 7

x = -27

-20 = x + 7

x = -23

7 + x = -16

x = 9

7 + x = 16

x = -9

-7 + x = -16

x = 23

-7 + x = 16

x = 10

(1/2)x = 5

x = 15

(1/3)x = 5

x = 20

(1/4)x = 5

x = 25

(1/5)x = 5

x = 18

(2/3)x = 12

x = -18

(2/3)x = -12

x = 12

(2/3)x = 8

x = -12

(2/3)x = -8

x = 7

-6x = -42

x = -7

6x = -42

x = 36

6 + x = 42

x = 48

-6 + x = 42

x = -5

-7x = 35

x = 5

-7x = -35

x = -13

-18 = x - 5

x = -23

-18 = x + 5

x = 23

18 = x - 5

x = -9

-18 = 2x

x = -1

-9 + x = -10

x = -19

9 + x = -10

x = 0

6 + x = 6

x = -5

5 + x = 0

x = 1

6x = 6

x = -1

6x = -6

x = -2

-6x = 12

x = 24

(x/4) = 6

x = -24

(x/4) = -6

x = 28

(x/4) = 7

x = -28

(x/4) = -7

x = 27

(x/3) = 9

x = -27

(x/3) = -9

{-6, 4}

| w + 1 | = 5