Algebra Quizzes for Year 9 Secondary School Students in the UK

Question 1

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

Accepted Answer

x³ + 8x² + 16x + 8

Answer

x³ + 16

Answer

x³ + 4x² + 8x + 8

Answer

x³ + 8x + 4

Question 2

What is the gradient of the line y = 3x - 2?

Accepted Answer

3

Answer

-2

Answer

6

Answer

-6

Question 3

Which equation is a quadratic equation?

Accepted Answer

x² + 2x + 1 = 0

Answer

x + 2y = 5

Answer

y = sin(x)

Answer

x = 5

Question 4

Find the expression that represents the product of 3 and a number x, increased by 5

Accepted Answer

3x + 5

Answer

3(x + 5)

Answer

5x + 3

Answer

5(x + 3)

Question 5

Solve the inequality: x + 3 > 7

Accepted Answer

x > 4

Answer

x < 4

Answer

x < 10

Answer

x > 10

Question 6

Factorise the expression: x^2 - 9

Accepted Answer

(x - 3)(x + 3)

Answer

(x - 3)(x - 3)

Answer

(x + 3)(x + 3)

Answer

(x + 3)(x - 3)

Question 7

Which of the following graphs represents the equation y = 2x + 1?

Accepted Answer

A straight line with a gradient of 2 and a y-intercept of 1

Answer

A straight line with a gradient of 1 and a y-intercept of 2

Answer

A parabola with a vertex at (0, 1)

Answer

A circle with a radius of 1

Question 8

Which of the following is an example of a quadratic equation?

Accepted Answer

x^2 + 3x - 2 = 0

Answer

x + 2 = 5

Answer

2x - 5y = 10

Answer

y = mx + c

Question 9

Solve the quadratic equation: x^2 - 5x + 6 = 0

Accepted Answer

x = 2 or x = 3

Answer

x = -2 or x = -3

Answer

x = 1 or x = 6

Answer

x = -1 or x = -6

Question 10

Simplify the algebraic expression: **3x + 2x - 5**

Accepted Answer

5x - 5

Answer

x + 3

Answer

x - 3

Answer

5x + 3

Question 11

Which of the following is an algebraic expression that represents the sum of 3 times a number 'x' and 5?

Accepted Answer

3x + 5

Answer

x = 5

Answer

x > 5

Answer

5 + 5

Question 12

Which of the following is equivalent to the algebraic expression 4x^2 - 12x + 9?

Accepted Answer

(2x - 3)^2

Answer

(2x + 3)^2

Answer

(4x - 3)^2

Answer

(4x + 3)^2

Question 13

Identify the option that is NOT an algebraic expression:

Accepted Answer

x = 5

Answer

2x + 5

Answer

x^2 - 4

Answer

3(x + 2)

Question 14

Simplify the algebraic expression: 2x + 3x - 5

Accepted Answer

5x - 5

Answer

5x + 5

Answer

x - 2

Answer

2x - 3

Question 15

Expand the brackets in the expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

x + 6

Answer

2x + 3

Answer

4(x + 3)

Question 16

Which of these is NOT a linear equation?

Accepted Answer

x squared minus 2x plus 1 equals 0

Answer

2x plus 3 equals 7

Answer

3 times (x plus 2) equals 9

Answer

x divided by 2 plus 5 equals 8

Question 17

Simplify the algebraic expression: 3(x - 2).

Accepted Answer

3x - 6

Answer

x - 6

Answer

3x + 6

Answer

x + 6

Question 18

Solve the linear inequality: 3(x + 2) > 12.

Accepted Answer

x > 2

Answer

x < 2

Answer

x > -2

Answer

x < -2

Question 19

Which of the following is an example of a quadratic equation?

Accepted Answer

x^2 + 2x + 1 = 0

Answer

x + 2 = 5

Answer

3x - 5 = 10

Answer

y = 2x + 1

Question 20

Solve the absolute value equation: |x - 3| = 5.

Accepted Answer

x = 2 or x = 8

Answer

x = -2 or x = -8

Answer

x = -8 or x = 8

Answer

There are no solutions

Question 21

Which of the following inequalities represents the statement "The sum of x and 5 is greater than 10"?

Accepted Answer

x + 5 > 10

Answer

x + 5 < 10

Answer

x - 5 > 10

Answer

x - 5 < 10

Question 22

Solve the system of equations using substitution:

1. x + y = 5
2. 2x - y = 1

Accepted Answer

x = 2, y = 3

Answer

x = 3, y = 2

Answer

x = 5, y = 0

Answer

x = 0, y = 5

Question 23

Which of the following is NOT an algebraic expression?

Accepted Answer

x = 5

Answer

3x + 2

Answer

x^2 - 4

Answer

(x + 2)(x - 3)

Question 24

Which of the following is an algebraic expression?

Accepted Answer

2x + 3

Answer

x = 5

Answer

x > 2

Answer

The sum of two numbers

Question 25

Factorise the quadratic expression: x^2 - 4

Accepted Answer

(x + 2)(x - 2)

Answer

(x + 2)^2

Answer

(x + 4)(x - 4)

Answer

(x - 2)^2

Question 26

Solve the linear inequality: 2x + 5 ≤ 11

Accepted Answer

x ≤ 3

Answer

x < 3

Answer

x > 3

Answer

x ≥ 3

Question 27

Simplify the algebraic expression: (2x^2y)^3

Accepted Answer

8x^6y^3

Answer

6x^6y^3

Answer

8x^5y^3

Answer

6x^5y^2

Question 28

Which of the following is a solution to the equation: 4x - 3 = 9?

Accepted Answer

x = 3

Answer

x = -3

Answer

x = 1

Question 29

The perimeter of a rectangle is given by the formula P = 2l + 2w. If the length is 5 cm and the width is 3 cm, what is the perimeter of the rectangle?

Accepted Answer

P = 16 cm

Answer

P = 20 cm

Answer

P = 8 cm

Answer

P = 15 cm

Question 30

Which inequality represents the statement: 'The number x is less than or equal to 5'?

Accepted Answer

x ≤ 5

Answer

x ≥ 5

Answer

x < 5

Answer

x > 5

Question 31

What is the value of *x* in the equation 2*x* + 5 = 11?

Accepted Answer

x = 3

Answer

x = 2

Answer

x = -3

Answer

x = 8

Question 32

If *y* = 2*x* + 1, what is the value of *y* when *x* = 4?

Accepted Answer

y = 9

Answer

y = 7

Answer

y = 10

Answer

y = 8

Question 33

The perimeter of a rectangle is calculated using the formula: Perimeter = 2 * (length + width).  If the length is 5 cm and the width is 3 cm, what is the perimeter of the rectangle?

Accepted Answer

16 cm

Answer

10 cm

Answer

15 cm

Answer

8 cm

Question 34

Which number makes the equation *x* + 4 = 10 true?

Accepted Answer

x = 6

Answer

x = 4

Answer

x = 14

Answer

x = -6

Question 35

Which symbol represents the statement 'x is greater than or equal to -2'?

Accepted Answer

x ≥ -2

Answer

x > -2

Answer

x ≤ -2

Answer

x < -2

Question 36

Which of the following is NOT an algebraic expression?

Accepted Answer

2.5

Answer

2^3

Answer

x + 3

Answer

3y - 5

Question 37

Simplify the expression: 2*x* + 3*x* - 5

Accepted Answer

5x - 5

Answer

x - 5

Answer

x + 5

Answer

5x + 5

Question 38

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

Accepted Answer

x^2 + 3x - 10

Answer

x^2 + 3x + 10

Answer

x^2 + 7x - 10

Answer

x^2 - 3x - 10

Question 39

What is the solution to the equation 2*x* - 5 = 11?

Accepted Answer

x = 8

Answer

x = 10

Answer

x = 6

Answer

x = 12

Question 40

What are the values of *x* that satisfy the inequality: *x* + 3 < 10?

Accepted Answer

x < 7

Answer

x < 13

Answer

x > 7

Question 41

Which of the following is equivalent to 3(x - 2)?

Accepted Answer

3x - 6

Answer

3x + 6

Answer

x + 6

Answer

x - 6

Question 42

Evaluate the expression: 2^3 - 3^2

Accepted Answer

1

Answer

-1

Answer

-5

Answer

5

Question 43

Which of the following graphs represents the equation y = 2x + 1?

Accepted Answer

*Image of a straight line graph with a y-intercept of 1 and a slope of 2*

Answer

*Image of a parabola opening upwards with a vertex at (0, 1)*

Answer

*Image of a straight line graph with a y-intercept of -1 and a slope of 2*

Question 44

What is the x-coordinate of the point where the line y = x + 2 intersects the x-axis?

Accepted Answer

-2

Answer

0

Answer

2

Answer

4

Question 45

Which of the following is a factor of x^2 - 4?

Accepted Answer

(x - 2)

Answer

(x + 2)

Answer

(x^2 + 4)

Answer

(x - 4)

Question 46

Simplify the expression: 3x + 2y - 5x + 4y

Accepted Answer

-2x + 6y

Answer

8x - 2y

Answer

-2x - 2y

Answer

8x + 6y

Question 47

Solve for x: 2x + 5 = 11

Accepted Answer

x = 3

Answer

x = 8

Answer

x = -3

Answer

x = 16

Question 48

Expand the following expression: 3(2x - 1)

Accepted Answer

6x - 3

Answer

5x - 1

Answer

6x - 1

Answer

6x + 3

Question 49

Which inequality represents the following statement: 'x is greater than or equal to 5'?

Accepted Answer

x ≥ 5

Answer

x ≤ 5

Answer

x > 5

Answer

x < 5

Question 50

If y = 3x - 2, what is the value of y when x = 4?

Accepted Answer

y = 10

Answer

y = 14

Answer

y = -2

Answer

y = 2

Question 51

Solve for x: 4x - 3 > 9

Accepted Answer

x > 3

Answer

x < 3

Answer

x > -3

Question 52

The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.  What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

Accepted Answer

P = 26 cm

Answer

P = 40 cm

Answer

P = 13 cm

Answer

P = 16 cm

Question 53

Which of the following is a solution to the equation 3x - 2 = 7?

Accepted Answer

x = 3

Answer

x = 1

Answer

x = -3

Answer

x = 5

Question 54

Simplify the expression: (x + 2)(x - 3)

Accepted Answer

x² - x - 6

Answer

x² + 5x - 6

Answer

x² + x - 6

Answer

x² - 5x - 6

Question 55

Which of the following is an example of an algebraic expression?

Accepted Answer

3x + 2y

Answer

x = 5

Answer

2x - 4 > 0

Answer

x + y = 7