Algebra IIBy Monica Yuskaitis

DefinitionsEquation A mathematical sentence stating that 2 expressions are equal.12 3 = 98 + 4 = 12

DefinitionsEquation A mathematical sentence with an equals sign.16 5 = 1114 + 3 = 17

DefinitionsEquals Sign (=) Means that the amount is the same on both sides.

4 + 2 = 65 2 = 3

An Equation is like a balance scale. Everything must be equal on both sides.105 + 5=

When the amounts are equal on both sides it is a true equation.126 + 6=

When the amounts are unequal on both sides it is a false equation.82 + 2=

When an amount is unknown on one side of the equation it is an open equation.7n + 2=

When you find a number for n you change the open equation to a true equation. You solve the equation.7n + 2=5

Are these equations true, false or open?11 - 3 = 513 + 4 = 17N + 4 = 712 3 = 83 + v = 1315 6 = 9

falsetrueopenfalseopentrue

DefinitionsInverse operation the opposite operation used to undo the first. 4 + 3 = 77 4 = 36 x 6 = 3636 / 6 = 6

How to solve an addition equationUse the inverse operation for addition which is subtractionm + 8 = 12 12 - 8 = 4m = 4 4 + 8 = 12

How to solve a subtraction equationUse the inverse operation for subtraction which is additionm - 3 = 55 + 3 = 8m = 8 8 - 3 = 5

Solve these equations using the inverse operationsn + 4 = 7n 5 = 4n + 4 = 17n 6 = 13n + 7 = 15n 8 = 17

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Commutative Property5 + 4 = 94 + 5 = 9a + b = cb + a = c6 + 3 = 93 + 6 = 9x+ y = zy + x = z3 + 4 + 1 = 81 + 3 + 4 = 8

Solve these equations using the commutative propertyn + 7 = 7 + 4m + 2 = 2 + 5z + 3 = 3 + 9g + 6 = 6 + 11s + 4 = 4 + 20c + 8 = 8 + 32n = 4m = 5

z = 9

g = 11

s = 20

c = 32

The Identity Property of Addition7 + 0 = 7a + 0 = a8 + 0 = 8c + 0 = c2 + 0 = 2

Use the Identity Property of addition to solve these problemsn + 0 = 8b + 0 = 7m + 0 = 3v + 0 = 5w + 0 = 4r + 0 = 2n = 8b = 7

m = 3

v = 5

w = 4

r = 2

Subtraction Rules of zero7 7 = 0n n = 04 0 = 4n 0 = n

Find the value of n using the rules of subtraction

n - 8 = 0n 9 = 0n 0 = 7n 0 = 9n 7 = 0n 0 = 5n = 8n = 9

n = 7

n = 9

n = 7

n = 5

Write an equation for these problems using a variableTimothy got 72 right on his timed test in July. He got 99 right on this same test in November.

Jasmin runs 15 minutes before school and 30 minutes after school.

One zinger costs 25 cents. Issak bought 4.

72 + n = 99 or 99 72 = n15 + 30 = n4 x 25 = n

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