Algebra II GHS1

Solve for y

100

y - 5 = 5

y = 10

200

y - 17 = 2.5

y = 19.5

300

y/3 - 2 = 12

y = 42

400

(7/8)y = 21

y = 24

500

12y - 0.3 = 4.5

y = 0.4

Absolute Value

100

| -3,750 | = y

y = 3,750

200

y = | -7 | - |-9 | 

y = -2

300

| y - 3 | = 6

y = { -3, 9 }

400

| y - 3 | - 3 = 27

y = { -27, 33 }

500

| y - 13 | - 7 = -5

y = { 11, 15 }

Properties

100

2(3 + y) = 6 + 2y

Distributive Property

200

-5(-1/5) = 1

Which property, and is it Addition, Subtraction, Multiplication, Division, or Equality?

Inverse Property of Multiplication

300

a + b = b + a

Commutative Property of Addition

400

For all real numbers a, b, and c, if a = b and b = c, then a = c.

Transitive Property of Equality

500

For any real number a, 

a = a.

Reflexive Property of Equality

Evaluate

100

a = -1, b = 3

2a + 2b = y

y = 4

200

a = -1, b = 3

a² - (-3b) = y

y = 10

300

a = -1, b = 3

-2a² - 6b = y

y = -20

400

a = -1, b = 3

3a/7 + b/14 = y

y = -3/14

500

a = -1, b = 3

(ab/3)³ - b² = y

y = -10

Miscellaneous

100

Solve E=mc² , for m

m = E/c²

200

Solve pqr²t = pqr²tz , for z.

z = 1

300

Solve pqr²t² = pqr²tn , for n.

n = t.

400

What is an algebraic expression for: Three less than the product of 8 and the square of a number.

8n² - 3

500

If 6x - 12 = 18, what is the value of 6x + 5?

If 6x - 12 = 18

Add 17 to both sides

Then 6x + 5 = 35