Lesson 1-1 to 1-4 review

Verbal and Algebraic Expressions

200

What is the difference between algebraic and verbal expressions? 

Algebraic is written in math terms 

Verbal are written in plain English 

300

Write a verbal expression for the following algebraic expression ... 

 The quotient of x and 2 

x/2 

400

Write a verbal expression for the following algebraic expression ... 

4(m+2) 

four times the sum of m and two 

500

Write an algebraic expression 

The sum of the difference of x and three and the sum of y and two 

(x - 3) + (y + 2)

600

Write a verbal expression 

(x-3) - (y+5) 

The difference of the difference of x and three and the sum of y and 5 

Order of Operations &Functions Contd.

200

Order of Operations is in what order? 

Parentheses

Exponents 

Multiplication 

Division 

Addition 

Subtraction 

300

Solve:

-3+2-8(-4)+4

35

400

(3^2 + 2)/(2(-5)-1)

-1

500

Evaluate the following according to order of operations

3*5+4-6+2*3

19

600

Evaluate the following if x = 3, y = -2 and z = 4

2x - 4y - 3z

2

Distributive Property

200

The Distributive Property states what? 

For any numbers a,b,c, 

a(b+c) = ab + ac 

or

a(b-c) = ab - ac 

300

Use the Distributive Property 

4(x+3) 

4x+12 

400

Use the distributive property

-4(2x² - 6x - 4)

-8x² + 24x + 16

500

Find the simplified version of -2(4x - 7y + 3z)

-8x + 14y - 6z

600

Use the distributive property 

2(x-2) + 3(y+z) 

2x - 4 + 3y + 3z

Combine Like Terms

200

Like terms have the same _______ and the same exponent.

variable

300

Combine the like terms:

3x + 8y - 7x - 2y

-4x + 6y

400

combine the like terms:

2(3x) + 4(-5x) - 10x 

-24x

500

Simplify:

2(3x + 1) + 4(2x + 2)

14x + 10

600

Simplify:

-3(3y - 5) + 2(x + 7)

-9y + 29 + 2x