2.4 Equivalent Algebraic Expressions

Unit Vocabulary

100

What is a constant?

Possible:

A value or number that never changes in expression; it's constantly the same. 

The number that is alone.

200

What's a variable?

Possible Answer:

A symbol used to represent a number.

or the variable is a letter with an unknown value.

300

What's a coefficient?

Possible Answer: 

An integer that is written along with a variable or it is multiplied by the variable.

The coefficient is the number next to the variable.

400

A single mathematical expression is considered a.......

a term

500

What's the difference between an equation and an expression?

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Simplify

100

7(3h − 10)

21h-70

200

10x-8x+2+10

2x+12

300

3a+7+2(3+a)

5a+13

400

-4+7z+3-2z

5z-1

500

4(2b+2)-3

8b+5

Name The Terms

100

Name the constants in the expression below.

15+4(5y-10)

15, 4 and 10

200

Name the coefficients in the expression below.

4x-6n+8+8-1

4 and 6

300

Name the like terms in the expression below.

8c-4-2c+5

8c and 2c; 4 and 5

400

Name the variable in the expression below.

3a+7+2(3+a)

A

500

Name the terms in the expression below.

10x-8x+2+10

10x, 8x, 2, and 10

Solve For The Variable

100

9c + 1 = 10

c=1

200

6y - 5=7

y+2

300

8=3a-4

a=4

400

17-q=6

q=11

500

4p-3=17

p=5

What's The Equivalent Expression

100

6 + 3z + 2

3z+8 or 8+3z

200

20x

10x + 5x + 5x

300

6(r + 3)  

6r+ 18

400

7(4x + 3) - 80

28x + 21 - 80

500

4 (10j − 5)

40j-20