Algebra for Year 6: Interactive Quizzes and Learning Resources

Question 1

In the expression '3x - 5y + 2z', what does 'z' stand for?

Accepted Answer

A variable

Answer

A constant

Answer

A coefficient

Answer

An equation

Question 2

You're at the grocery store buying fruit. Apples cost $0.50 each, and oranges cost $0.75 each. If you buy 'a' apples and 'o' oranges, how much money will you spend in total?

Accepted Answer

0.50a + 0.75o

Answer

a + o

Answer

$0.50 + $0.75

Answer

0.50a - 0.75o

Question 3

Solve the equation: 5x - 2 = 13

Accepted Answer

3

Answer

0

Answer

5

Answer

10

Question 4

What does the expression "5 + x" mean in mathematics?

Accepted Answer

The sum of the number 5 and a number represented by x

Answer

The difference between x and 5

Answer

The product of 5 and x

Answer

5 divided by x

Question 5

Write an inequality to show that the number y is greater than or equal to 5.

Accepted Answer

y ≥ 5

Answer

y > 5

Answer

y < 5

Answer

y ≤ 5

Question 6

Simplify the expression: 3x + 2x

Accepted Answer

6x

Answer

x

Answer

2x

Answer

5x

Question 7

What is the algebraic expression for 'the sum of x and 5'?

Accepted Answer

x + 5

Answer

5 - x

Answer

5x

Answer

x - 5

Question 8

Which equation below has x = 5 as its solution?

Accepted Answer

2x = 10

Answer

x + 3 = 8

Answer

x - 7 = 2

Answer

x - 3 = 2

Question 9

What is a variable?

Accepted Answer

A letter that represents a number

Answer

A number that changes

Answer

A symbol that means 'add'

Answer

A number that stays the same

Question 10

In the expression '3x + 5', what does 'x' represent?

Accepted Answer

A number that can change

Answer

A fixed number

Answer

The sum of 3 and 5

Answer

The difference between 3 and 5

Question 11

Which of the following is a step in solving the equation: 5x - 2 = 13?

Accepted Answer

Add 2 to both sides of the equation.

Answer

Subtract 5 from both sides of the equation.

Answer

Multiply both sides of the equation by 5.

Answer

Divide both sides of the equation by 5.

Question 12

Find the solution to the inequality: x + 5 > 10.

Accepted Answer

x > 5

Answer

x < 5

Answer

x = 5

Answer

x > 15

Question 13

Write an algebraic expression for 'five more than a number'.

Accepted Answer

n + 5

Answer

5 + n

Answer

n - 5

Answer

5n

Question 14

Which example represents an algebraic equation?

Accepted Answer

x = y + 5

Answer

2 + 3 = 5

Answer

The total of two numbers is 10.

Answer

The area of a square is 12cm².

Question 15

Translate the following sentence into an algebraic equation: The result of multiplying two numbers is 24.

Accepted Answer

xy = 24

Answer

x + y = 24

Answer

x - y = 24

Answer

x ÷ y = 24

Question 16

Calculate the value of this expression: 5(x - 3), when x = 6

Accepted Answer

21

Answer

9

Answer

15

Answer

30

Question 17

The expression '4(x + 3)' is equivalent to:

Accepted Answer

4x + 12

Answer

4x + 3

Answer

x + 12

Answer

x + 3

Question 18

Which of these represents the equation of a straight line?

Accepted Answer

y = mx + c

Answer

y = x^2 + c

Answer

y = 1/x

Answer

y = sin(x)

Question 19

What is a variable?

Accepted Answer

A letter that represents a number

Answer

A number

Answer

An equation

Answer

An expression

Question 20

What does the letter 'x' represent in mathematics?

Accepted Answer

A variable value

Answer

A constant value

Answer

An operator

Answer

A function

Question 21

What is the value of the expression 3(x + 2) when x is 5?

Accepted Answer

20

Answer

10

Answer

15

Answer

25

Question 22

Which of the following is equal to 3x + 6?

Accepted Answer

3(x + 2)

Answer

x + 2

Answer

x + 3

Answer

6x

Question 23

Which expression shows 'a number x multiplied by 5'?

Accepted Answer

5x

Answer

x - 5

Answer

5 + x

Answer

x + 5

Question 24

Which of these represents the distributive property?

Accepted Answer

(a + b)c = ac + bc

Answer

a(b + c) = ab - ac

Answer

a - b = b - a

Answer

a + b = b + a

Question 25

Which of these is the graph of the equation y = x + 2?

Accepted Answer

A line with a slope of 1 and a y-intercept of 2

Answer

A circle with a radius of 2

Answer

A hyperbola with an asymptote at y = 2

Answer

A parabola with a vertex at (0, 2)

Question 26

Which expression is algebraically equivalent to 3x + 5?

Accepted Answer

5 + 3x

Answer

5x - 3

Answer

3x - 5

Answer

3 - 5x

Question 27

Which of the following is not a variable?

Accepted Answer

12

Answer

y

Answer

x

Answer

a

Question 28

Which of the following is an inequality?

Accepted Answer

x > 5

Answer

x + 5

Answer

5x

Answer

x = 5

Question 29

Which of the following represents a linear equation in two variables?

Accepted Answer

y = 2x + 3

Answer

x^2 + y^2 = 4

Answer

x - y = 5x

Answer

y + 5 = (x - 2)^2

Question 30

Solve the equation: 2x + 5 = 11

Accepted Answer

x = 3

Answer

x = 5

Answer

x = 2

Answer

x = 4

Question 31

Simplify the expression: 3(x + 2)

Accepted Answer

3x + 6

Answer

3x + 2

Answer

6x + 2

Answer

x + 6

Question 32

Calculate the perimeter of a rectangle with length x and width y

Accepted Answer

2x + 2y

Answer

x + y

Answer

x - y

Question 33

Which number is NOT a factor of 12?

Accepted Answer

5

Answer

2

Answer

4

Answer

3

Question 34

Write the equation of a line with a slope of -2 and a y-intercept of 3

Accepted Answer

y = -2x + 3

Answer

y = -2x - 3

Answer

y = 2x + 3

Answer

y = 2x - 3

Question 35

Find the area of a triangle with base b and height h

Accepted Answer

1/2 bh

Answer

bh

Answer

b/h

Answer

2bh

Question 36

Which property of integers is true?

Accepted Answer

They are closed under addition and subtraction.

Answer

They are always positive.

Answer

They are always rational numbers.

Answer

They cannot be divided by zero.

Question 37

Which expression is equivalent to 3 multiplied by the sum of x and 2?

Accepted Answer

3x + 6

Answer

6x + 3

Answer

3x - 6

Answer

x + 6

Question 38

Simplify the expression: 2x minus x plus 4

Accepted Answer

x + 4

Answer

2x

Answer

x

Question 39

Which of these is a variable?

Accepted Answer

x

Answer

+

Answer

=

Answer

5

Question 40

Simplify the expression: the sum of x and 2 multiplied by the difference of x and 3

Accepted Answer

x^2 - x - 6

Answer

x^2 - 5x

Answer

2x - 6

Answer

x^2 + x - 6

Question 41

Solve the equation: x squared equals 16

Accepted Answer

x = 4 or x = -4

Answer

x = 8

Answer

x = 16

Answer

x = 2

Question 42

Which of the following is a system of equations?

Accepted Answer

x + y = 5
x - y = 1

Answer

5x + 1y = 6

Answer

x + y
x - y

Answer

x = 5
y = 1

Question 43

If you have 'x' apples in each basket, how many apples would you have in total if you had 4 baskets?

Accepted Answer

4x

Answer

x + 4

Answer

x - 4

Answer

x/4

Question 44

Which of these is a symbol that stands for a number we don't know yet?

Accepted Answer

y

Answer

+

Answer

10

Answer

=

Question 45

If 'n' is 5, what is the answer to 2n + 3?

Accepted Answer

13

Answer

10

Answer

11

Question 46

Which equation shows 'Five less than a number is 12'?

Accepted Answer

n - 5 = 12

Answer

5n = 12

Answer

5 - n = 12

Answer

n + 5 = 12

Question 47

Which of these is NOT a way to show a number with a letter?

Accepted Answer

2 + 2 = 4

Answer

3x + 5

Answer

2y - 1

Answer

4m

Question 48

If each side of a triangle is 's' centimeters long, what is the total length around the triangle?

Accepted Answer

3s cm

Answer

s^2 cm

Answer

s + 3 cm

Question 49

What number should replace 'x' to make the equation x - 7 = 10 true?

Accepted Answer

17

Answer

3

Answer

7

Answer

10

Question 50

If you read for 'm' minutes, how many hours did you read for?

Accepted Answer

m/60

Answer

60m

Answer

m - 60

Answer

m + 60

Question 51

Which of these expressions is the same as 2x + 5?

Accepted Answer

5 + 2x

Answer

x + 2 + 5

Answer

5 - 2x

Answer

2(x + 5)

Question 52

What is the value of 'x' in the equation 3x - 7 = 14?

Accepted Answer

7

Answer

5

Answer

9

Question 53

Simplify the expression: 2(x + 3) + 4x

Accepted Answer

6x + 6

Answer

6x + 4

Answer

2x + 6

Answer

4x + 6

Question 54

Which of the following is a variable in the expression 3y + 2?

Accepted Answer

y

Answer

3

Answer

y + 2

Answer

2

Question 55

Translate the following word problem into an algebraic equation: John has three times as many apples as Mary. If John has 12 apples, how many apples does Mary have?

Accepted Answer

3x = 12

Answer

x + 3 = 12

Answer

3(x + 12)

Answer

12x = 3

Question 56

Find the value of the expression when x = 5: 2x - 3y + 4

Accepted Answer

19

Answer

26

Answer

14

Answer

22

Question 57

Which of the following represents a constant in the expression 4x + 3y - 5?

Accepted Answer

-5

Answer

x

Answer

4

Answer

3

Question 58

If a = 3 and b = 5, what is the value of a + b?

Accepted Answer

8

Answer

1

Answer

15

Answer

2

Question 59

Which expression represents the phrase '5 less than a number'?

Accepted Answer

x - 5

Answer

x + 5

Answer

5x

Answer

5 - x

Question 60

What is the value of 'y' in the equation y + 7 = 12?

Accepted Answer

5

Answer

7

Answer

19

Answer

-5

Question 61

A bakery sells cakes for £5 each. If they sell 'c' cakes, how much money do they earn?

Accepted Answer

5c

Answer

c / 5

Answer

c + 5

Question 62

What is the missing number in the pattern: 2, 4, 6, 8, __?

Accepted Answer

10

Answer

7

Answer

12

Answer

9

Question 63

If 'n' represents a number, which equation shows 'n' increased by 3 is equal to 10?

Accepted Answer

n + 3 = 10

Answer

n / 3 = 10

Answer

n - 3 = 10

Answer

3n = 10

Question 64

Which of the following is an example of a variable?

Accepted Answer

x

Answer

=

Answer

+

Answer

5