Expressions & Order of Operations — Drills
Expressions & Order of Operations has 6 drill skills. Each one generates fresh questions every time, with a hint and full worked steps, so you can keep practising a single skill until it settles.
What these drills cover
These questions use 1 idea from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Exponent — How many times the base is used as a factor. In 53 the exponent is 3.
Ordering
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Work out 7 + 7 × 9.
Worked answer
70
7 × 9 = 63
7 + 63 = 70
Problem 2
Work out 60 ÷ 6 × 5.
Worked answer
50
60 ÷ 6 = 10
10 × 5 = 50
Exponents
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Work out 53.
Worked answer
125
5 × 5 × 5 = 125
Not 5 × 3 = 15
Problem 2
Work out 63.
Worked answer
216
6 × 6 × 6 = 216
Not 6 × 3 = 18
Evaluating
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Find the value of 6n + 7 when n = 8.
Worked answer
55
6(8) = 48
48 + 7 = 55
Problem 2
Find the value of 8n + 5 when n = 5.
Worked answer
45
8(5) = 40
40 + 5 = 45
Squares
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Find the value of 2n2 - 5 when n = -4.
Worked answer
27
(-4)2 = 16
2 × 16 = 32
- 5 = 27
Problem 2
Find the value of 4n2 - 3 when n = 3.
Worked answer
33
(3)2 = 9
4 × 9 = 36
- 3 = 33
Writing the expression
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
A printer charges $9 to start plus $6 a page. Write the cost for p of them.
Worked answer
6p+9
6p + 9
Problem 2
A club charges $7 to start plus $8 each. Write the cost for n of them.
Worked answer
8n+7
8n + 7
Expand
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Expand 3(x + 6).
Worked answer
3x+18
3 × x = 3x
3 × 6 = 18
Problem 2
Expand 4(x + 5).
Worked answer
4x+20
4 × x = 4x
4 × 5 = 20