Linear Equations
Linear Inequalities
Proportions
Literal Equations
Consecutive Integers
100

Solve for x:
x + 7 = 15

x = 8

100

Solve the following inequality and graph the solution on a number line:
x + 3 > 7

x > 4

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100
Solve for x:

3/x = 12/20

3/x = 12/20

3*20 = 12x

60 = 12x

x = 5

100

Solve for a:

h = a + 7

a = h - 7

100

The sum of three consecutive integers is 51. Find the value of the greatest of the three.

18

200

Solve for y:
3y - 8 = 13

3y - 8 = 13

3y = 21

y = 7

200

Solve the following inequality:
2x - 5 ≤ 11

2x - 5 ≤ 11

2x ≤ 16

x ≤ 8

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200

Solve for y:

(y+2)/5 = y/3

(y+2)/5 = y/3 

3(y+2) = 5y

3y + 6 = 5y

6 = 2y

y = 3

200

Solve for b: 

j = bH

b = j/H

200

Christopher is the oldest of three siblings whose ages are consecutive odd integers. If the sum of their ages is 63, find Christopher's age.

Christopher is 23 years old 

300

Solve the following equation for x:
2x + 5 = 3x - 4

2x + 5 = 3x - 4

5 = x - 4

x = 9

300

Solve the following inequality
-3x + 4 < -11

-3x + 4 < -11

-3x < -15

x > 5

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300

Solve for x:

7/(2x - 1) = -4/(x+3)

7/(2x - 1) = -4/(x+3)

7(x+3) = -4(2x - 1)

7x + 21 = -8x + 4

15x + 21 = 4

15x = 25

x = 25/15 = 5/3

300

Solve for B:

B/Q = d + f3

B= Q(d + f3)

300

The sum of three consecutive odd integers is 75. Find the value of the middle of the three.

25

400

Solve for a:
7(a + 2) = 7a + 26

7(a+2) = 7a + 26

7a + 14 = 7a + 26

14 = 26

No solutions

400

Solve the inequality:
-3x + 1 < 10

-3x + 1 < 10

-3x < 9

x > -3

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400

Solve for a:

(3a+2) / (a - 1) = 5/2

(3a+2) / (a - 1) = 5/2

2(3a + 2) = 5(a - 1)

6a + 4 = 5a - 5

a + 4 = -5

a = -9


400

Solve for b: 

Gb = m / R

Gb = m / R

b = m / (RG)

400

The lengths of the four sides of a quadrilateral (in meters) are consecutive even integers. If the perimeter is 52 meters, find the value of the longest of the four side lengths.

16 meters

500

Solve the following equation for x:
4(2x - 3) - 5(x + 1) = 3x - 17

4(2x - 3) - 5(x + 1) = 3x - 17

8x - 12 - 5x - 5 = 3x - 17

3x - 17 = 3x - 17

-17 = -17

Infinitely many solutions

500

Solve the following inequality. Graph the solution on a number line:
4(x - 2) + 3 > 2(x + 1) - 5

4(x - 2) + 3 > 2(x + 1) - 5
4x - 8 + 3 > 2x + 2 - 5

4x - 5 > 2x - 3

2x - 5 > -3

2x > 2

x > 1

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500

Solve for x:

(-2x - 5) / (3 - x) = -7 / -4

(-2x - 5) / (3 - x) = -7 / -4

-4(-2x - 5) = -7(3 - x)

8x + 20 = -21 + 7x

x + 20 = -21

x = -41

500

Solve for A:

G = 5BA - Q

G = 5BA - Q

G + Q = 5BA 

A = (G + Q) / (5B)

500

The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 86 inches. Find the length and width of the rectangle.

21 & 22 inches