Free Printable Algebra

1.

Which number below is divisible by 2?

a)

3415

b)

2323

c)

4560

d)

6427

2.

All of these numbers are divisible by 5 except for...

a)

75,395

b)

984,940

c)

222,222,235

d)

8,943,893

3.

Is 1,270,640 divisible by 10?

a)

Yes, because the sum of the digits is 20, which is an even number

b)

No, because it is an even number

c)

Yes, because it ends in a zero

d)

No, because it is not divisible by 3

4.

Which of the following statements is true of this number?

a)

It is divisible by 3 and 9

b)

It is divisible by 2, 3, and 6

c)

It is divisible by 3

d)

It is prime

5.

A number with only 2 factors is

a)

Prime

b)

Composite

c)

Factor

d)

Multiple

6.

The only factors prime numbers have are

a)

0 and 1

b)

0 and itself

c)

1 and itself

d)

1

7.

Which number is NOT a factor of 20?

a)

1

b)

2

c)

3

d)

5

8.

True or False?

33 is a prime number

a)

True

b)

False

9.

What is the missing factor?

a)

1

b)

2

c)

5

d)

8

10.

What is the missing factor?

11.

What is the prime factorisation of 15?

a)

$5\times5\times5$

b)

$2^2\times5$

c)

$1,3,5,15$

d)

$3\times5$

12.

What is 36 as a product of its prime factors?

(Draw a factor tree to help you)

a)

$2\times2\times3\times6$

b)

$2^2\times3^2$

c)

$4\times9$

d)

$2^3\times3^4$

13.

In the index $3^4$ , the three represents the ____________ ?

a)

power

b)

base

c)

exponent

d)

integers

14.

Which number is the Index?

$4^2=16$

15.

What does the term "squared" mean?

a)

Raised to the power of 3

b)

Muliplied by 2

c)

Raised to the power of 2

d)

Magic Square

16.

Which of the following is an example of a square root?

a)

$\sqrt[]{3}$

b)

$3^2$

c)

$3\times3$

d)

$3$

17.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

18.

$2\times2\times2\times2$ in index form is...

a)

$2^3$

b)

$2^5$

c)

$16$

d)

$2^4$

19.

$3\times6\times6\times3\times3$ in index form is...

a)

$3\times6^2\times3^2$

b)

$18^5$

c)

$972$

d)

$3^3\times6^2$

20.

$5^6$ in expanded form is...

a)

$5\times6$

b)

$6\times6\times6\times6\times6$

c)

$56$

d)

$5\times5\times5\times5\times5\times5$

21.

Evaluate $5^2$

a)

25

b)

10

c)

-5

d)

-10

22.

Evaluate $\sqrt[3]{64}$

a)

6

b)

4

c)

8

d)

2

23.

Simplify...

a)

$3^9$

b)

$3^{20}$

c)

$3^1$

d)

$3^{-1}$

24.

Simplify...

25.

Simplify...

26.

$40^{15}\times40^0$

a)

$40$

b)

$1$

c)

$40^{150}$

d)

$40^{15}$

27.

Simplify...

a)

7^-5

b)

7⁵

c)

7^-1

d)

7¹

28.

Simplify...

a)

2²

b)

2¹²

c)

2^-2

d)

2³⁵

29.

Simplify...

30.

$\frac{2^5}{2^2}$

a)

$2^3$

b)

$3$

c)

$2^{10}$

d)

$2^7$

31.

Simplify...

a)

11^-13

b)

11^-3

c)

11³

d)

11^-1.6

32.

Simplify...

33.

Simplify...

34.

Simplify...

a)

9²⁸

b)

9¹¹

c)

9^-3

d)

9²¹

35.

Simplify...

a)

5^-6

b)

5⁶

c)

5¹

d)

5^-1

36.

Simplify...

37.

Evaluate $4^2+2^3$

a)

24

b)

$6^3$

c)

32

d)

$6^5$

38.

A(n) __________________ is one or more terms separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

39.

A variable is

a)

a letter that takes the place of a number

b)

terms in an expression

c)

the answer to an equation

d)

the number infront of a letter

40.

Which term doesn't belong?

a)

5

b)

-5

c)

0

d)

3t

41.

Which of the following is NOT an example of a variable?

a)

8

b)

x

c)

u

d)

n

42.

What is the constant in the expression?

-4x + 6y + 2

a)

-4

b)

x, y

c)

6

d)

2

43.

What are the variables in the expression?

8x + 2y - 7

a)

8x

b)

x, y

c)

2y

d)

-7

44.

What are the coefficients in the expression?

-10x + 3y - 5

a)

-5

b)

x, y

c)

-10x

d)

-10, 3

45.

What are the terms in the expression?

-4x + 6y - 2

a)

-4x, 6y, -2

b)

x, y

c)

4x, 6y

d)

-2

46.

The constant term in $6x^2-3x-10$

(a)

47.

How many terms in the expression $6xy-2x+5y-3$

(a)

48.

How many variable are there in the expression $2x^3y+3xy+6$

(a)

49.

Pirate Pete went Pirating.

He collected the booty shown in the picture.

He used $c$ for chests, $b$ for bags and counted the extra coins.

Which of the following expressions describe the booty he collected?

a)

$3c+5b+9$

b)

$17$

c)

$3b+14c$

d)

Lots of coins

50.

Simplify the expression: $3x+2x$

51.

Collect like terms: $4y+8d-2y+3d$

a)

$11d+6y$

b)

$2y+11d$

c)

$6y+5d$

d)

$17yd$

52.

Simplify the expression: $2x+1+7x$

53.

Select All the terms that are like with $8b^2$

a)

$4$

b)

$4b$

c)

$4b^2$

d)

$16b$

e)

$20b^2$

54.

Simplify:

$x^2+2x+3x$

a)

$6x$

b)

$6x^2$

c)

$x^2+5x$

d)

$7x$

55.

Simplify by combining like terms: $5ab+2b-3ba+4$

a)

$8ab+2b+4$

b)

$2ab+2b+4$

c)

$10ab+4$

d)

$4ab+4$

56.

$10a\times3$

57.

$2y\times y$

a)

$2$

b)

$2y$

c)

$2y^2$

d)

$2y^3$

58.

$2a\times3p\times5w$

a)

$30apw$

b)

$10apw$

c)

$30$

d)

$11apw$

59.

$10y\times2p\times3p\times m$

a)

$60p^2my$

b)

$60ppmy$

c)

$20py\times3pm$

d)

$15p^2my$

60.

a)

7x³

b)

6x⁷

c)

3x³

d)

12x⁷

Algebra

Total questions: 60

Worksheet time: 1hrs 15mins

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