Free Printable ACT 2.1 Substitution Rules Quiz

1.

When a problem says "k is an integer," what is the FIRST number you should test?

a)

2

b)

0

c)

-1

d)

1

2.

For "positive even integer," what test number should you use?

a)

0

b)

1

c)

2

d)

-2

3.

If a problem mentions "negative odd integer," what number should you plug in?

a)

-1

b)

1

c)

-2

d)

0

4.

When testing "consecutive integers," which set is most efficient?

a)

0, 1, 2

b)

1, 2, 3

c)

-1, 0, 1

d)

10, 11, 12

5.

For "consecutive even integers," which set works best?

a)

0, 2, 4

b)

2, 4, 6

c)

1, 3, 5

d)

-2, 0, 2

6.

When should you NOT use substitution?

a)

When the problem says "must be true"

b)

When you need a general algebraic proof

c)

For multiple-choice questions

d)

When testing "could be" questions

7.

To disprove a "must be true" statement, you need:

a)

One counterexample

b)

Two examples that work

c)

A general algebraic proof

d)

To test all numbers

8.

If a problem says "x is an integer and x > 5," what is a good test number?

a)

0

b)

6

c)

5

d)

10

9.

For "y is a negative even integer," which test number is best?

a)

0

b)

-2

c)

-1

d)

2

10.

When testing "the sum of two prime numbers is even," which pair should you try first?

a)

5 and 7

b)

2 and 5

c)

2 and 3

d)

3 and 5

11.

If a problem involves "the average of three consecutive integers," which set is easiest?

a)

0, 1, 2

b)

1, 2, 3

c)

-1, 0, 1

d)

Any of the above

12.

For "the product of an even and an odd integer," which pair should you test?

a)

1 and 2

b)

2 and 3

c)

0 and 1

d)

Both A and B

13.

When a problem says "n is a nonzero integer," which number should you avoid?

a)

2

b)

-1

c)

1

d)

0

14.

For "k is an integer and k ≤ -3," what test number is best?

a)

-4

b)

-3

c)

0

d)

3

15.

If you need to test "for all integers," which two numbers are most critical?

a)

1 and 2

b)

0 and -1

c)

-1 and 1

d)

0 and 1

16.

In a problem about "the remainder when an integer is divided by 5," which test number gives remainder 0?

a)

5

b)

1

c)

0

d)

Both A and C

17.

If a problem says "m is a positive integer less than 10," what's the best test number?

a)

10

b)

9

c)

5

d)

1

18.

For "three consecutive multiples of 3," which set should you test?

a)

0, 3, 6

b)

3, 6, 9

c)

6, 9, 12

d)

1, 2, 3

19.

When testing "the square of an even integer is divisible by 4," which number is most efficient?

a)

4

b)

2

c)

0

d)

6

20.

If a problem asks "which expression could be negative," what should you test first?

a)

Zero

b)

Fractions

c)

Positive numbers

d)

Negative numbers

21.

Evaluate when a = 10: 2(a - 5) + 2

a)

12

b)

24

c)

17

d)

7

22.

What is it called when I replace a variable with a number such as replacing x when I know x=5?

a)

Substituting

b)

Simplifying

c)

Combining Like Terms

d)

Constant

23.

Replacing a variable with an expression it is equal to.

(a)

24.

$Evaluate:\ 7m+3mn\ when\ m=8\ and\ n=14$

a)

84

b)

196

c)

392

d)

Answer not shown

25.

9c + 5dx

c=5

d=8

x = -1

(a)

26.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a

a)

5

b)

6

c)

8

d)

10

27.

Find the value of the following expressions when a = 3, b = 4 and c = 5.
2a² + c²

a)

22

b)

34

c)

68

d)

43

28.

Evaluate 4y if y = 3

a)

7

b)

12

c)

16

d)

24

29.

Evaluate the algebraic expression

bc+5a\ ;\ a=3,\ b=4,\ c=6

(a)

ACT 2.1 Substitution Rules Quiz

Total questions: 29

Worksheet time: 17mins

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