Algebra

Pronumerals

100

List the terms of the following expression:

3x²y - 4x + 5

3x²y 

4x

5

200

List the variables in the following expression:

a/2 + b/11 - 7/10 + xy

a

b

x

y

300

What is the coefficient of x:

a/2 + b/11 - 7/10 + xy

1

400

Find the constant terms in the following expression: 

4m/8 - 9/4

9/4

500

Find the coefficient of each term that contains a variable:

5m/8 - 9n + p/4 - 2/5

m: 5/8

n: 9

p: 1/4

Write expression

100

z divided by 5

z ÷ 5

200

The sum of three quarters of a and 5

3/4a + 5

300

A number is multiplied by 2 and then 9 is added 

a x 2 + 9

400

Triple the sum of 33 and y

3x(33+y) = 3(33+y)

500

Write a sentence to describe the order of operations in the following expression:

10b/3 + 16 

10 times b then divided by 3, 16 is later added.

Like terms

100

Identify the like terms in the following groups of terms:

20x, 8y, -15y, y, -12x, 3x

20x, -12x, 3x

8y, -15y, y

200

Identify the like terms in the following groups of terms:

5ab, -ba, 0.1a, ab/4, -9ba/10, b/12

5ab, -ba, ab/4, -9ba/10

0.1a

b/12

300

Identify the like terms in the following groups of terms:

9ab/10, 7abc, -cab, 5ab/6, 13cab, 7.2ba

9ab/10, 5ab/6, 7.2ba

7abc, -cab, 13cab

400

Identify the like terms in the following groups of terms:

-9fg, 120f²g, 20fg²/3, -11f²/3, 0.2fg², 4fg/5

-9fg, 4fg/5

 120f²g

20fg²/3, 0.2fg²

-11f²/3

500

Identify the like terms in the following groups of terms:

-9fgh, 120f²gh, 20hf²g/3, -11g²f/3, 0.2fg², 4fhg/5

-9fgh, 4fhg/5

120f²gh, 20hf²g/3

-11g²f/3, 0.2fg²

Add/Subtract like terms

100

8c + 9c

17c

200

4gh + 3gh - 3 - 6gh

gh - 3

300

3n + 4mn - 9mn - 4n

-n - 5mn

400

5str/2 + st/3 - ts/6 -2rst/7 

31rst/14 + ts/6

500

5p²q + p²q⁴/4 + p²q - 3/2 - p²q⁴ + 5/3

6p²q - 3p²q⁴/4 + 1/6

Substitutions

100

Substituting 4 for a into the expression: a + 5 

     a  + 5 

= (4) + 5 = 9

200

Evaluate the expression 5b² by substituting b = 3

5b² = 5x(3)² = 5 x 9 = 45

300

Evaluate the expression 5b² + b + 6 by substituting b = 3

   5b² + b + 6

= 5 x (3)² + (3) + 6

= 5 x 9    +   3   + 6 

= 45        +   3   + 6

= 54 

400

Simplify the expression and evaluate the expression by substituting a = 5 and b = 3: 

2a + 6a + 3b + 4b

   8a + 7b 

= 8 x (5) + 7 x (3)

=   40      +   21

=            61

500

Simplify the expression and evaluate the expression by substituting a = 5 and b = 3: 

6ab - ba - 7ba + a²

  -2ab + a²

=-2 x (5) x (3) + (5)²

= -5