Coordinate Algebra Unit 2 Lesson 1

Solving Equations and Inequalities

100

5x+4≥11-2x

x≥1

200

3x+9=-36

x=-15

300

2(3x+1)=6x+14

no solution.

400

4x/5+6<3x+4

x>10/11

500

Fill in the blanks. The_______ ______ ________ are the rules that allow you to balance, manipulate, and ______

properties of inequality, solve inequalities.

Manipulating Formulas and Equations

100

a = b/3 for b

b= 3a

200

A= lw for w

w= A/l

300

9 - 5y= 6x + 2 for x

x= -5/6y + 7/6

400

F= 9/5C +32 for C

C= 5/9F - 160/9

500

A= 1/2 × bh for h

h= 2A/b

Properties of Operations

100

a+b=b+a.

Commutative Property of Addition.

200

Name the property. (3•8)•2=3(8•2)

Associative Property of Multiplication?

300

a•b=b•a

communicative property of multiplication

400

(a+b)+c=a+(b+c)

associative property of addition

500

3•(8+2)=3•8+3•2

distributive property of multiplication over addition

Properties of Equality

100

a=a.

Reflexive Property.

200

If a=b and b=c, then a=c.

Transitive Property.

300

Name the steps in order. 76=5x-15+2x

Commutative property of addition, Distributive property, Addition property, Division property, Symmetric property.

400

Name the steps in order. 5x+3(x+4)=28

distributive property, distributive property to combine like terms, subtraction property of equality, division property of equality.

500

Name the steps in order. x+(4x+32)=12

associative property of addition, subtraction property of equality, division property of equality.

Solving Exponential Equations

100

4^x=1024

x=5

200

1/49=7^x

x=-2

300

0.0625=0.5^x

x=4

400

(2^2)^x+1=10x

X= 1/4

500

Choose one of the choices in parentheses. An exponential function is a function of the form y=ab^x where a and b are both (greater than, less than) 0 and b is not (greater than or equal to, equal to) 1.

greater than, equal to