Algebra Basics

Vocabulary

100

The expression 2x + 3y - 7 has how many terms and the term 7 is called a ?

3 terms and constant.

200

A letter used to represent an unknown is called a ..

Variable

300

The number attached to a pronumeral is called a.....

Coefficient

400

A combination of coefficients, variables and constants including the operational signs is called ......

An expression

500

2ab, -3ab and 4ba are all

Like Terms

Simplify

100

Select the like terms from below:

2x² , 3xy,  -2x³ ,  -2yx,  2x¹

Like terms are 3xy and -2yx

200

Simplify this expression:

10f - 8f + 2 + 10

= 2f + 12

300

Simplify the following expression

12n - 8 - 2n + 10 - 4

= 10n -2

400

3x² - 4xy + 4x² + 3xy

= 7x² - xy

500

a² - b² + 2b² + c² - 2c² - a²

= b² - c²

Expressions

100

Write in algebraic form:

Sum of x and 3 gives 5

x + 3 = 5

200

Write in algenraic form:

4 added to 2 multiplied by b is equal to 8

2b + 4 = 8

300

Write in algebraic form:

4 multiplied by the sum of y and 7

(y + 7) X 4

400

Write in algebraic form:

Three fourths of b added to twice c gives 11

3b/4 + 2c = 11

500

Write in Algebraic Form:

8 divides the total of 6 added to 3 times f

(3f + 6)/8

Substitution

100

Evaluate b²     If b = 5

= 25

200

Evaluate 21 - z  If z = 10

= 11

300

IF q = 3 evaluate   ^2q/₃ + 4 

= 6

400

What is a² + b - 5   If a = 5 and b = 3

= 23

500

Evaluate  2gh² +7   If g = 3 and h = 10

= 600

Distribute and Simplify

100

−4(3a−2b+5)+5(2a+b−3)

−2a+13b−35

200

Simplify this expression:

2(3m−4n+5)−3(2m−n−2)+4(m+2n−1)

4m + 3n+12

300

3(2x−5y+4)−2(x−3y−1)

4x−9y+14

400

5(x−2y+3)−3(2x−y−4)+2(x+y−1)

x−5y+25

500

1. −2(3p−4q+5)+3(2p+5q−6)−(p−3q+4)

−p+26q−32