Algebra Review 2

Solve for x

100

x + 7 = 15

x = 8

200

3x + 4 = 10

x = 2

300

4x - 3 = 5x - 2

x = -1

400

-2 + 5x - 7 = 2x - 9 + 2x

x = 0

500

3(x + 4) - 1 = -7

x = -6

Solve for y

100

y - 3x = 13

y = 3x + 13

200

2x + y = 7

y = -2x + 7

300

2y - 18x = -26

y = 9x - 13

400

20x + 5y = 15

y = -4x + 3

500

16x + 9 = 9y - 2x

y = 2x + 11

Inequalities

100

x - 4 < -5

x < -1

200

6 >= m - 1

m <= 7

300

-20 <= 10n

n >= -2

400

-16 <= (8/3)t

t >= -6

500

2 > -3p - 10

p > -4

Absolute Value

100

| w | = 6

w = 6 , w = -6

200

| 2n | = 18

n = -9 , n = 9

300

| m + 3 | = 7

m = -10 , m = 4

400

| r | = -2

no solution

500

| x - 1 | + 5 = 2

no solution

Word Problems: Write an equation and solve it

100

Sara buys g gallons of milk, each costing $3, for a total of $9. Write an equation representing the situation, and solve it.

3g = 9

g = 3

200

3 more than 4 times a number is equal to 5 times a number.

4x + 3 = 5x

x = 3

300

The temperature at 5PM is 20^oF. The temperature at 10PM is -5^oF. How many degrees did the temperature fall?

-5 = 20 - T

T = 25^oF

400

A cell phone company charges a monthly flat fee of $12.95 and $0.25 a minute per call. The bill for m minutes is $21.20.

$0.25m + $12.95 = $21.20

500

You put d dollars into a savings account, with an annual interest rate of 3%, 1 year ago and haven't touched it since. The current balance of the account is $2,060. What was the original balance?

d + 0.03d = $2,060

d = $2,000