Free Printable Algebra and standard form

1.

$0.28\div10^{-3}$

(a)

2.

$0.049\ \times\ 10^{-1}$

(a)

3.

$0.302\times10^2$

(a)

4.

43.2 x 10³

a)

4.320

b)

432

c)

4,320

d)

43,200

5.

107 ÷ 10³

a)

1.07

b)

.107

c)

107,000

d)

10.7

6.

What is standard form?

a)

Writing numbers as a

calculator writes numbers

b)

A system of writing

very large or very small numbers

c)

Writing numbers as decimals

7.

(a)

8.

(a)

9.

What is 0.00051

written in standard form?

a)

5.1 × 10^-4

b)

51 × 10^-4

c)

5.1 × 10^-5

10.

What is 6.7 × 10⁴ written

as an ordinary number?

(a)

11.

Substitution

$9c+5z+2$ When c = -9 and z = 9

a)

128

b)

-124

c)

-34

12.

Substitution

If $a=-3$ then $2a^2-3a=$

(a)

13.

Substitution

Given x= -3 and y=2, find $\frac{9xy}{6}$

(a)

14.

In the expression below, which is the constant?

$10-y$

a)

-y

b)

1

c)

10

d)

There are no constants in the expression.

15.

Identify the variable in the expression.

$2b^2-4b+6$

a)

2b

b)

b

c)

6

d)

a

16.

A ___ is a value that does not change.

a)

Variable

b)

Constant

c)

Coefficent

d)

Term

17.

Expanding brackets (x-7)(x+3)

a)

x²-3x-21

b)

x²+4x-21

c)

x²-4x-21

d)

x²-4x-21

18.

What is a⁸÷a³

a)

a³

b)

a⁴

c)

a⁵

d)

a⁶

19.

What is (x²)⁷

a)

x¹⁴

b)

x⁹

20.

Calculate 3a⁸ x 4a²

a)

12a¹⁰

b)

12a¹⁶

c)

7a¹⁰

d)

7a¹⁶

21.

a)

a/2

b)

3a/6

c)

8a/6

d)

7a/6

22.

For
$\frac{2x}{7}-\frac{2}{3}=\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }{21}$ ,
What is in the numerator?

a)

$6x-14$

b)

$14x-9$

c)

$2x-2$

d)

$6x-2$

23.

Factorise to simplify $\frac{4m^2+5m}{m}$

(a)

24.

Factorise to simplify $\frac{15x+25y}{5}$

(a)

25.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

26.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

27.

Write an expression, in simplest form, to represent the perimeter of the rectangle.

a)

$y^2-2$

b)

$y^4-4$

c)

2y - 2

d)

4y - 4

28.

Who is this ?

a)

Brain

b)

Letty

c)

Dom

d)

Car

Algebra and standard form

Total questions: 28

Worksheet time: 1hrs 24mins

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