Savvas enVision (7) Topic 4-1

Vocabulary Check

100

A number, variable, or product of numbers and variables separated by + or - signs.

What is a Term?

200

The number multiplied by a variable in a term.

What is a coefficient?

300

A number without a variable; its value does not change.

What is a constant?

400

To combine like terms and perform operations to write it in simplest form.

What is simplifying.

500

Give an example of an equivalent expression.

example: 3(x + 2) --> 3x + 6

Combining Like Terms

100

Simplify 5x + 2X

7x

200

Simplify: 

4y+6-y

3y+6

300

Simplify: 

8p+2p-8

10p - 8

400

Which terms are alike?

3a+4b+6+7a-2

Terms 3a and 7a; terms 6 and -2

500

Explain why  -3x+5 and  5x-3 are not like terms.

They don't have the same var

Order of Operations

100

Simplify:  3+2*5 

13

200

Simplify:  (8 - 2)*4 

24

300

Simplify:  6 + 3^2 *2 

24

400

Simplify:  (10 - 4) / 2 + 3 * 2 

11

500

What ensures everyoe gets the same, correct result for an expression?

Following the Order of Operations.

Evaluate It!

100

Evaluate 3x + 4 

when x = 2

10

200

Evaluate 2n - 5 

when n = 8

11

300

Evaluate 4(a + 3)

when a = 5

32

400

Evaluate 5x - 2y

when x = 4

and y = 3

14

500

How does substitution help solve real-world problems?

It lets you replace a variable with a know value to find the total or cost.

Build That Expression

100

Write an expression: 

3 more than a number

x + 3

200

Write an expression:

7 less than twice a number

2x - 7

300

Write an expression: 

The cost of n tickets at $4 each plus $2

4n + 2

400

Write an expression: 

Area of a  rectangle with length 3 units more than the width

Area =  w*(w+3) 

500

Explain how you know if two expressions are equivalent

They give the same result for all values of the variable.