Writing Algebraic Expressions
Substitution
Expanding and Mixed Operations
Worded Problems
Anything but maths
100

The sum of a, b, and c. 

a + b + c

100

Substitute a = 2 into the following expression and evaluate: 

a + 7 

9

100

Expand the following expression: 

3(x+4) 

3x + 12

100

One tennis ball costs $4. Write an expression for the cost of tennis balls.

$4

(Still give points for missing $ sign). 

100

Which team did Australia draw 0-0 with to qualify for the knockouts of the 2026 FIFA World Cup? 

Paraguay

200

The product of p and q is divided by 7

pq/7

200

Substitute a = 7 and        b = 5 into the following expression and evaluate.

124 - (3ab + a)

12

200

Expand the following expression: 

7(2a-8)

14a-56

200

Amanda owns fiction books. She owns twice as many non-fiction books. Write an expression for the total number of books she owns.

3x

200

In Minecraft, what colour are a creeper's eyes? 

Black

300

b is halved. This is then added to 2. 

(1/2)b + 2

300

Substitute x = 10 and y = 6 into the following expression and evaluate: 

sqrt(x^2 - y^2)

4

300

Expand the following expression: 

7k(2v+5y)

14kv + 35ky

300

A taxi driver charges $1.60 to pick passengers up. He then charges $3.40 per kilometre travelled. 

a) Write an expression for the total cost of travelling n km

b) Jude travels 12km. Calculate the total cost of his trip.

YOU MUST ANSWER BOTH PARTS TO GET ALL OF THE POINTS. MAKE SURE YOU INCLUDE UNITS. 

a) C = $1.60 + $3.40n

b) $42.40

300

Which famous scientist discovered gravity? 

Isaac Newton

400

x is divided by y, and z is divided by w. These are then added together.

(x/y)+(z/w)

400

Substitute a = 9, b = 4, and c = 7 into the following expression and evaluate: 

(8(a+3))/(bc)

You do not have to simplify your final answer. 

96/28

400

Replace the question mark with an algebraic term to make this equivalence statement true:

(36b/?) x y = 6y

? = 6b

400

Jarrell is n years old. His brother, Jordan, is 3 years more than double his age. Their father, Bukayo, is 4 years more than double Jordan's age. Write an (expanded and simplified) algebraic expression to represent Bukayo's age.

4n + 10

400

What were male rulers in Ancient Egypt called? 

Pharaohs

500

a is multiplied by b, then added to 3. All of this is then squared. 

(ab + 3)2

500

Substitute a = 4, b = 10, and c = 2 into the following expression and evaluate. 

((a+b)/c)^2 x 4

196

500

Simplify the following algebraic expression: 

3a x 4b - 2a x 2b

8ab

500

A school concert sells adult tickets for $15 each and student tickets for $8 each. For the opening night, they sell a adult tickets. They sell 20 more than double that amount of student tickets. 

a) Write an expanded and simplified expression for the total money made from ticket sales. 

b) On opening night, they sold 40 adult tickets. How much money did the school make in total? 

a) 31a + 160

b) $1400

500

In what year was the first moon landing?

1969

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