Maths

Question 1

True or False: The expression 3x + 5 is a linear expression.

Answer 1

True

Question 2

Expand the expression: 2(x + 3).

Answer 2

2x + 6

Question 3

Factorise the expression: 4x + 8.

Answer 3

4(x + 2)

Question 4

What is the standard form of a linear equation?

Answer 4

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Question 5

Rearrange the equation: 2x + 3 = 11.

Answer 5

x = 4

Question 6

Simplify the expression: 5x + 2x.

Answer 6

7x

Question 7

Fill in the blank: The term ‘coefficient’ refers to the ________ in a linear expression.

Answer 7

numerical factor

Question 8

What is the result of simplifying the expression: 7x - 2x + 5?

Answer 8

5x + 5

Question 9

True or False: The expression 2x^2 + 3x is a linear expression.

Answer 9

False

Question 10

Create a linear expression using the variable y and the number 7.

Answer 10

7y

Question 11

Expand the expression: 3(2x - 4).

Answer 11

6x - 12

Question 12

Factorise the expression: x^2 + 5x + 6.

Answer 12

(x + 2)(x + 3)

Question 13

Rearrange the equation: 3y - 4 = 8.

Answer 13

y = 4

Question 14

Which of the following is a linear expression? A) 2x + 3 B) x^2 - 4 C) 5/x

Answer 14

A) 2x + 3

Question 15

Simplify the expression: 10 - 2(3 + 4).

Answer 15

-4

Question 16

Fill in the blank: The slope-intercept form of a linear equation is ________.

Answer 16

y = mx + b

Question 17

What do the letters ‘m’ and ‘b’ represent in the slope-intercept form?

Answer 17

‘m’ represents the slope and ‘b’ represents the y-intercept.

Question 18

Expand the expression: (x + 3)(x - 2).

Answer 18

x^2 + x - 6

Question 19

Factorise the expression: 6x - 9.

Answer 19

3(2x - 3)

Question 20

Rearrange the equation: 5x + 2y = 10 for y.

Answer 20

y = 5 - 2.5x

Question 21

True or False: 0.5x + 1 is a linear expression.

Answer 21

True

Question 22

What is the coefficient of x in the expression: 8x + 4?

Answer 22

8

Question 23

Simplify the expression: 4(x + 2) - 2x.

Answer 23

2x + 8

Question 24

Fill in the blank: A linear equation has a graph that is ________.

Answer 24

a straight line

Question 25

What is the result of rearranging the equation: 7x - 3 = 14?

Answer 25

x = 2.43

Question 26

Expand the expression: 5(2y + 3).

Answer 26

10y + 15

Question 27

Factorise the expression: 12x + 16.

Answer 27

4(3x + 4)

Question 28

What is the slope of the line represented by the equation y = 3x + 2?

Answer 28

3

Question 29

True or False: Linear expressions can involve exponents greater than one.

Answer 29

False

Question 30

Simplify the expression: 9 - 3(2 + 1).

Answer 30

0

Question 31

Create a linear expression with a slope of 4 and y-intercept of -1.

Answer 31

y = 4x - 1

Question 32

Expand the expression: (x + 1)(x + 4).

Answer 32

x^2 + 5x + 4

Question 33

Fill in the blank: The process of rewriting an expression in a simpler form is called ________.

Answer 33

simplification

Question 34

What is the first step in factoring the expression 15x + 10?

Answer 34

Identify the greatest common factor, which is 5.

Question 35

Rearrange the equation: 2x - 8 = 4.

Answer 35

x = 6

Question 36

True or False: The expression 5x + 2x - 3 is simplified.

Answer 36

False

Question 37

What is the simplified form of 3(x + 2) + 4?

Answer 37

3x + 10

Question 38

Expand the expression: 4(x - 1) + 3.

Answer 38

4x - 4 + 3 = 4x - 1

Question 39

Factorise the expression: x^2 - 9.

Answer 39

(x - 3)(x + 3)

Question 40

Fill in the blank: A linear expression can have ________ variables.

Answer 40

one

Question 41

What is the result of simplifying the expression: 2(3x + 1) - 4x?

Answer 41

2x + 2

Question 42

Create a linear expression with a variable z and a constant 5.

Answer 42

5z

Question 43

Expand the expression: 2(x + 4) - 3.

Answer 43

2x + 8 - 3 = 2x + 5

Question 44

Factorise the expression: 20x + 15.

Answer 44

5(4x + 3)

Question 45

Rearrange the equation: 6y + 2 = 14.

Answer 45

y = 2

Question 46

True or False: The coefficient of a variable can be negative.

Answer 46

True

Question 47

What is the slope of the line given by the equation y = -2x + 3?

Answer 47

-2

Question 48

Simplify the expression: 6x + 4 - 2x.

Answer 48

4x + 4

Question 49

Fill in the blank: The term 'constant' refers to a ________ value in an expression.

Answer 49

fixed

Question 50

Expand the expression: 5(x - 2) + 3x.

Answer 50

5x - 10 + 3x = 8x - 10

Question 51

Factorise the expression: 18 - 6x.

Answer 51

6(3 - x)

Question 52

Rearrange the equation: 4x + 5 = 13.

Answer 52

x = 2

Question 53

True or False: The expression x + 2x + 3 is already simplified.

Answer 53

False

Question 54

What is the result of simplifying the expression: 8 - 2(3 + 1)?

Answer 54

0

Question 55

Create a linear expression involving the variable a and the number 9.

Answer 55

9a

Question 56

Expand the expression: 4(2x + 1) - 2.

Answer 56

8x + 4 - 2 = 8x + 2

Question 57

Factorise the expression: x^2 + 6x + 9.

Answer 57

(x + 3)^2

Question 58

What does the term 'intercept' refer to in a linear equation?

Answer 58

The intercept is the point where the line crosses the y-axis.

Question 59

Simplify the expression: 12 - 4(x - 2).

Answer 59

4 + 4x

Question 60

Fill in the blank: The expression 3 + 4x can be factored as ________.

Answer 60

3 + 4x

Question 61

Rearrange the equation: 5y - 10 = 0.

Answer 61

y = 2

Question 62

True or False: A linear expression can have multiple variables.

Answer 62

False

Question 63

What is the simplified form of 4y + 2y - y?

Answer 63

5y

Question 64

Expand the expression: (x + 2)(x - 3).

Answer 64

x^2 - x - 6

Question 65

Factorise the expression: 14x + 28.

Answer 65

14(x + 2)

Question 66

What is the slope of the line represented by the equation y = 0.5x + 1?

Answer 66

0.5

Question 67

Fill in the blank: The expression ax + b is in the form of a ________ equation.

Answer 67

linear

Question 68

True or False: The expression 10 - 3x + 5 is a linear expression.

Answer 68

True