Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 1
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 4 b = 3 and c = 1,
what is the value of 3a - b² ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 9 b = 10 and c = 5,
what is the value of 2ab - c
?
If a = 3 b = 6 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 3 and c = 10,
what is the value of bc / a ?
If a = 1 b = 2 and c = 4,
what is the value of 4b³ ?
If a = 7 b = 7 and c = 2,
what is the value of ac / 2b
?
If a = 6 b = 6 and c = 10,
what is the value of 2abc c² ?
If a = 6 b = 8 and c = 4,
what is the value of (2b/c)² ?
If a = 3 b = 5 and c = 5,
what is the value of 2a +
b/c ?
Day 2
Answer
Q
1
2
3
4
5
6
7
8
9
10
Question
Answer
If a = 8 b = 5 and c = 2,
what is the value of 5a - bc
?
If a = 7 b = 9 and c = 3,
what is the value of √(a + b)
?
If a = 1 b = 3 and c = 6,
what is the value of 4b³ ?
If a = 6 b = 4 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 4 and c = 4,
what is the value of ac / 2b
?
If a = 2 b = 4 and c = 8,
what is the value of bc / a ?
If a = 4 b = 3 and c = 9,
what is the value of 2ab - c
?
If a = 6 b = 4 and c = 1,
what is the value of 3a - b²
?
If a = 9 b = 9 and c = 3,
what is the value of (2b/c)² ?
If a = 9 b = 10 and c = 5,
what is the value of c / (b a) ?
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 3
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 7 b = 3 and c = 3,
what is the value of 3b² ?
If a = 4 b = 2 and c = 8,
what is the value of 2abc c² ?
If a = 4 b = 8 and c = 4,
what is the value of 2a +
b/c ?
If a = 6 b = 10 and c = 8,
what is the value of c / (b a) ?
If a = 5 b = 3 and c = 5,
what is the value of (2b - a)²
?
If a = 1 b = 5 and c = 4,
what is the value of 4b³ ?
If a = 5 b = 6 and c = 10,
what is the value of 2ab - c
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b² ?
If a = 5 b = 5 and c = 10,
what is the value of ac / 2b
?
If a = 5 b = 4 and c = 3,
what is the value of 5a - bc
?
Day 4
Answer
Q
1
2
3
4
5
6
7
8
9
10
Question
Answer
If a = 5 b = 3 and c = 2,
what is the value of 2abc c² ?
If a = 4 b = 6 and c = 8,
what is the value of bc / a ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 6 b = 10 and c = 1,
what is the value of √(a + b)
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b²
?
If a = 5 b = 9 and c = 3,
what is the value of 2a +
b/c ?
If a = 1 b = 2 and c = 4,
what is the value of 4b³ ?
If a = 7 b = 10 and c = 9,
what is the value of c / (b a) ?
If a = 5 b = 3 and c = 10,
what is the value of bc / a ?
If a = 4 b = 10 and c = 2,
what is the value of 2abc c² ?
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 5
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 3 b = 6 and c = 1,
what is the value of √(a + b)
?
If a = 6 b = 4 and c = 3,
what is the value of 5a - bc
?
If a = 6 b = 9 and c = 3,
what is the value of (2b/c)² ?
If a = 5 b = 5 and c = 4,
what is the value of (2b - a)²
?
If a = 6 b = 6 and c = 3,
what is the value of (2b/c)² ?
If a = 3 b = 7 and c = 4,
what is the value of 2ab - c
?
If a = 6 b = 4 and c = 2,
what is the value of 2a +
b/c ?
If a = 4 b = 5 and c = 8,
what is the value of bc / a ?
If a = 7 b = 4 and c = 3,
what is the value of 3b² ?
If a = 6 b = 2 and c = 6,
what is the value of ac / 2b
?
Day 6
Answer
Q
1
2
3
4
5
6
7
8
9
10
Question
Answer
If a = 4 b = 6 and c = 9,
what is the value of 2ab - c
?
If a = 2 b = 5 and c = 4,
what is the value of (2b - a)²
?
If a = 2 b = 2 and c = 8,
what is the value of ac / 2b
?
If a = 8 b = 9 and c = 6,
what is the value of (2b/c)² ?
If a = 5 b = 7 and c = 4,
what is the value of c / (b a) ?
If a = 10 b = 3 and c = 4,
what is the value of 5a - bc
?
If a = 1 b = 4 and c = 4,
what is the value of 4b³ ?
If a = 4 b = 2 and c = 5,
what is the value of 2abc c² ?
If a = 2 b = 2 and c = 1,
what is the value of √(a + b)
?
If a = 6 b = 3 and c = 5,
what is the value of 5a - bc
?
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 7
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 7 b = 3 and c = 3,
what is the value of 3b² ?
If a = 5 b = 8 and c = 4
what is the value of 2a +
b/c ?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b² ?
If a = 5 b = 4 and c = 2,
what is the value of √(a + b)
?
If a = 8 b = 10 and c = 6,
what is the value of c / (b a) ?
If a = 4 b = 3 and c = 1,
what is the value of 3a - b² ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 9 b = 10 and c = 5,
what is the value of 2ab - c
?
If a = 3 b = 6 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 3 and c = 10,
what is the value of bc / a ?
Day 8
Answer
Q
1
2
3
4
5
6
7
8
9
10
Question
Answer
If a = 1 b = 2 and c = 4,
what is the value of 4b³ ?
If a = 7 b = 7 and c = 2,
what is the value of ac / 2b
?
If a = 6 b = 6 and c = 10,
what is the value of 2abc c² ?
If a = 6 b = 8 and c = 4,
what is the value of (2b/c)² ?
If a = 3 b = 5 and c = 5,
what is the value of 2a +
b/c ?
If a = 8 b = 5 and c = 2,
what is the value of 5a - bc
?
If a = 7 b = 9 and c = 3,
what is the value of √(a + b)
?
If a = 1 b = 3 and c = 6,
what is the value of 4b³ ?
If a = 6 b = 4 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 4 and c = 4,
what is the value of ac / 2b
?
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 9
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 2 b = 4 and c = 8,
what is the value of bc / a ?
If a = 4 b = 3 and c = 9,
what is the value of 2ab - c
?
If a = 6 b = 4 and c = 1,
what is the value of 3a - b² ?
If a = 9 b = 9 and c = 3,
what is the value of (2b/c)² ?
If a = 9 b = 10 and c = 5,
what is the value of c / (b a) ?
If a = 7 b = 3 and c = 3,
what is the value of 3b² ?
If a = 4 b = 2 and c = 8,
what is the value of 2abc c² ?
If a = 4 b = 8 and c = 4,
what is the value of 2a +
b/c ?
If a = 6 b = 10 and c = 8,
what is the value of c / (b a) ?
If a = 5 b = 3 and c = 5,
what is the value of (2b - a)²
?
Day 10
Answer
Q
1
2
3
4
5
6
7
8
9
10
Question
Answer
If a = 1 b = 5 and c = 4,
what is the value of 4b³ ?
If a = 5 b = 6 and c = 10,
what is the value of 2ab - c
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b²
?
If a = 5 b = 5 and c = 10,
what is the value of ac / 2b
?
If a = 5 b = 4 and c = 3,
what is the value of 5a - bc
?
If a = 5 b = 3 and c = 2,
what is the value of 2abc c² ?
If a = 4 b = 6 and c = 8,
what is the value of bc / a ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 6 b = 10 and c = 1,
what is the value of √(a + b)
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b²
?
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 1
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 4 b = 3 and c = 1,
what is the value of 3a - b² ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 9 b = 10 and c = 5,
what is the value of 2ab - c
?
If a = 3 b = 6 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 3 and c = 10,
what is the value of bc / a ?
If a = 1 b = 2 and c = 4,
what is the value of 4b³ ?
If a = 7 b = 7 and c = 2,
what is the value of ac / 2b
?
If a = 6 b = 6 and c = 10,
what is the value of 2abc c² ?
If a = 6 b = 8 and c = 4,
what is the value of (2b/c)² ?
If a = 3 b = 5 and c = 5,
what is the value of 2a +
b/c ?
Day 2
Answer
3
75
175
81
5
Q
1
2
3
4
5
32
6
1
620
7
8
16
9
7
10
Question
If a = 8 b = 5 and c = 2,
what is the value of 5a - bc
?
If a = 7 b = 9 and c = 3,
what is the value of √(a + b)
?
If a = 1 b = 3 and c = 6,
what is the value of 4b³ ?
If a = 6 b = 4 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 4 and c = 4,
what is the value of ac / 2b
?
If a = 2 b = 4 and c = 8,
what is the value of bc / a ?
If a = 4 b = 3 and c = 9,
what is the value of 2ab - c
?
If a = 6 b = 4 and c = 1,
what is the value of 3a - b²
?
If a = 9 b = 9 and c = 3,
what is the value of (2b/c)² ?
If a = 9 b = 10 and c = 5,
what is the value of c / (b a) ?
Answer
30
4
108
4
3
16
15
2
36
5
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 3
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 7 b = 3 and c = 3,
what is the value of 3b² ?
If a = 4 b = 2 and c = 8,
what is the value of 2abc c² ?
If a = 4 b = 8 and c = 4,
what is the value of 2a +
b/c ?
If a = 6 b = 10 and c = 8,
what is the value of c / (b a) ?
If a = 5 b = 3 and c = 5,
what is the value of (2b - a)²
?
If a = 1 b = 5 and c = 4,
what is the value of 4b³ ?
If a = 5 b = 6 and c = 10,
what is the value of 2ab - c
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b² ?
If a = 5 b = 5 and c = 10,
what is the value of ac / 2b
?
If a = 5 b = 4 and c = 3,
what is the value of 5a - bc
?
Day 4
Answer
27
64
Q
1
2
3
10
2
1
4
5
6
500
7
50
8
8
9
5
13
10
Question
If a = 5 b = 3 and c = 2,
what is the value of 2abc c² ?
If a = 4 b = 6 and c = 8,
what is the value of bc / a ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 6 b = 10 and c = 1,
what is the value of √(a + b)
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b²
?
If a = 5 b = 9 and c = 3,
what is the value of 2a +
b/c ?
If a = 1 b = 2 and c = 4,
what is the value of 4b³ ?
If a = 7 b = 10 and c = 9,
what is the value of c / (b a) ?
If a = 5 b = 3 and c = 10,
what is the value of bc / a ?
If a = 4 b = 10 and c = 2,
what is the value of 2abc c² ?
Answer
56
12
75
4
8
13
32
3
6
156
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 5
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 3 b = 6 and c = 1,
what is the value of √(a + b)
?
If a = 6 b = 4 and c = 3,
what is the value of 5a - bc
?
If a = 6 b = 9 and c = 3,
what is the value of (2b/c)² ?
If a = 5 b = 5 and c = 4,
what is the value of (2b - a)²
?
If a = 6 b = 6 and c = 3,
what is the value of (2b/c)² ?
If a = 3 b = 7 and c = 4,
what is the value of 2ab - c
?
If a = 6 b = 4 and c = 2,
what is the value of 2a +
b/c ?
If a = 4 b = 5 and c = 8,
what is the value of bc / a ?
If a = 7 b = 4 and c = 3,
what is the value of 3b² ?
If a = 6 b = 2 and c = 6,
what is the value of ac / 2b
?
Day 6
Answer
Q
1
3
2
18
36
25
16
38
14
10
48
9
3
4
5
6
7
8
9
10
Question
If a = 4 b = 6 and c = 9,
what is the value of 2ab - c
?
If a = 2 b = 5 and c = 4,
what is the value of (2b - a)²
?
If a = 2 b = 2 and c = 8,
what is the value of ac / 2b
?
If a = 8 b = 9 and c = 6,
what is the value of (2b/c)² ?
If a = 5 b = 7 and c = 4,
what is the value of c / (b a) ?
If a = 10 b = 3 and c = 4,
what is the value of 5a - bc
?
If a = 1 b = 4 and c = 4,
what is the value of 4b³ ?
If a = 4 b = 2 and c = 5,
what is the value of 2abc c² ?
If a = 2 b = 2 and c = 1,
what is the value of √(a + b)
?
If a = 6 b = 3 and c = 5,
what is the value of 5a - bc
?
Answer
39
64
4
9
2
38
256
55
2
15
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 7
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 7 b = 3 and c = 3,
what is the value of 3b² ?
If a = 5 b = 8 and c = 4
what is the value of 2a +
b/c ?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b² ?
If a = 5 b = 4 and c = 2,
what is the value of √(a + b)
?
If a = 8 b = 10 and c = 6,
what is the value of c / (b a) ?
If a = 4 b = 3 and c = 1,
what is the value of 3a - b² ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 9 b = 10 and c = 5,
what is the value of 2ab - c
?
If a = 3 b = 6 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 3 and c = 10,
what is the value of bc / a ?
Day 8
Answer
27
Q
1
2
12
8
3
3
4
5
3
3
75
175
81
5
6
7
8
9
10
Question
If a = 1 b = 2 and c = 4,
what is the value of 4b³ ?
If a = 7 b = 7 and c = 2,
what is the value of ac / 2b
?
If a = 6 b = 6 and c = 10,
what is the value of 2abc c² ?
If a = 6 b = 8 and c = 4,
what is the value of (2b/c)² ?
If a = 3 b = 5 and c = 5,
what is the value of 2a +
b/c ?
If a = 8 b = 5 and c = 2,
what is the value of 5a - bc
?
If a = 7 b = 9 and c = 3,
what is the value of √(a + b)
?
If a = 1 b = 3 and c = 6,
what is the value of 4b³ ?
If a = 6 b = 4 and c = 5,
what is the value of (2b - a)²
?
If a = 6 b = 4 and c = 4,
what is the value of ac / 2b
?
Answer
32
1
620
16
7
30
4
108
4
3
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED
Substitution
Key Skills
Complete the daily exercises to focus on improving this skill.
Day 9
Q
1
2
3
4
5
6
7
8
9
10
Question
If a = 2 b = 4 and c = 8,
what is the value of bc / a ?
If a = 4 b = 3 and c = 9,
what is the value of 2ab - c
?
If a = 6 b = 4 and c = 1,
what is the value of 3a - b² ?
If a = 9 b = 9 and c = 3,
what is the value of (2b/c)² ?
If a = 9 b = 10 and c = 5,
what is the value of c / (b a) ?
If a = 7 b = 3 and c = 3,
what is the value of 3b² ?
If a = 4 b = 2 and c = 8,
what is the value of 2abc c² ?
If a = 4 b = 8 and c = 4,
what is the value of 2a +
b/c ?
If a = 6 b = 10 and c = 8,
what is the value of c / (b a) ?
If a = 5 b = 3 and c = 5,
what is the value of (2b - a)²
?
Day 10
Answer
16
Q
1
2
15
2
36
5
3
4
5
27
6
64
7
10
2
1
8
9
10
Question
If a = 1 b = 5 and c = 4,
what is the value of 4b³ ?
If a = 5 b = 6 and c = 10,
what is the value of 2ab - c
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b²
?
If a = 5 b = 5 and c = 10,
what is the value of ac / 2b
?
If a = 5 b = 4 and c = 3,
what is the value of 5a - bc
?
If a = 5 b = 3 and c = 2,
what is the value of 2abc c² ?
If a = 4 b = 6 and c = 8,
what is the value of bc / a ?
If a = 7 b = 5 and c = 3,
what is the value of 3b² ?
If a = 6 b = 10 and c = 1,
what is the value of √(a + b)
?
If a = 8 b = 4 and c = 1,
what is the value of 3a - b²
?
Answer
500
50
8
5
13
56
12
75
4
8
N U M E R A C Y N I N J A S . O R G
©2015 NUMERACY NINJAS. ALL RIGHTS RESERVED