Algebra: Solving Equations

Writing Equations

100

Six times x minus fifteen equals forty-five.

6x - 15 = 45

200

Half of j minus 5 is the sum of k and 13

1/2j - 5 = k + 13

300

The sum of x and 4 times t is equal to 29

x + 4t = 29

400

27 times k is equal to h squared decreased by nine.

27k = h² - 9

500

Seven times a number squared is five times the difference of k and m.

7x² = 5(k-m)

Word Problems

100

Fred bought a soft drink for 2 dollars and 4 candy bars. He spent a total of 14 dollars. How much did each candy bar cost?

$3

200

Dan had 215 dollars to spend on 7 books. After buying them he had 12 dollars. How much did each book cost?

$29

300

The sum of three consecutive numbers is 141. What is the smallest of the three numbers?

46

400

The sum of three consecutive even numbers is seventy-eight. What is the smallest of the three numbers?

24

500

Jason bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 33 cards left.  How many cards did Jason start with?

59 cards

Multi Step

100

6x - 3 = 2x + 13

x = 4

200

x - 7 + 4x = 13

x = 4

300

4x + 3 - 2x = - 17

x = - 10

400

-5(3x - 1) = -10(2x - 5)

x = 9

500

-3(x - 1) - 2(x + 3) = -13

x = 2

Equations with Fractions

100

x/6 = 7

x = 42

200

x/2 = -15

x = -30

300

3/4x = -9

x = -12

400

4/5x + 1 = 5

x = 5

500

2/3x - 4 = 16

x = 30

Solve for Given

100

Solve ax + k = t for k

k = t - ax

200

Solve 2x = z - xm for x

x = z/2 + m

300

Solve x/7 + a = 2 + m for x

x = 14 + 7m -7a

400

Solve A =1/2bh for h

h = 2A/b

500

8c - 2f = -9 + cg for c

c = -9 + 2f/8-g