Grade 6 Mathematics – Inequalities Quiz

1. What is an algebraic expression made of?

Numbers and multiplication
numbers and operations
addition and multiplication
numbers and variables
Explanation:

2. Which equation shows that 5 is greater than z?

5 =z
5 > z
5 <z
5+z
Explanation:

3. The product of m and 8 is

8m
m8
8 ×m
8+m
Explanation:

4. 9 divided by c is

9(c)
c/9
9c
9/c
Explanation:

5. 5 less than the product of 6 and n

6n+ 5
6n -5
5+6n
5 -6n
Explanation:

6. What is the sum of 5b and 5

10b
5+b5
10b +5
5b+5
Explanation:

7.  If y = 15, evaluate the following expression: 20 + y

15+20+y
20y+15
15y +20
35
Explanation:

8. Evaluate t/13 if t =65

845
52
5
78
Explanation:

9. 13 x T - 4 when T = 5

51
65
61
14
Explanation:

10. 6x = 18, find the value of x

4
12
3
1
Explanation:

11. 3m = 33 Solve for m

11
3
30
10
Explanation:

12. What is a variable in Algebra?

something that changes
an equation
a numeric expression
an unknown value
Explanation:

13. The symbol < means

equal to
less than
greater than or equal to
greater than
Explanation:

14. Which inequality could be used to represent the situation: you must donate at least $5 to get a free popcorn

x < 5
x ≥ 5
x ≤  5
x>5
Explanation:

15. Which inequality could be used to represent the situation: Less than 5 students purchased a slushie at lunch.

x < 5
x >5
5< x
5>x
Explanation:

16. If y = 5 and x 4, then,

y =x
x=y
y >x
y <x
Explanation:

17. if 2x = 10, then

x<5
x= 5
x <2
x < 10
Explanation:

18. Which of the following is true

8>7-1
5 <3
4 < 5
10-1>11
Explanation:

19. Which of the following is true?

5 ×10 > 20
2 - 1 <2
2 + 0 >0
20÷2 >8
Explanation:

20.  -8x < 48

x > 6
x < 6
x < -6
x > -6
Explanation:

21.  -4x + 14 ≤ 54

x ≤ -10
x ≤ 10
x ≥ 10
x ≥ -10
Explanation:

22. Solve:  -3x ≤ 6

x ≤ 18
x ≤ -2
-x ≤ 2
x ≤ 6
Explanation:

23. What is the vale of y in 1+4y +3 -y = 25

y=21
y= 7
y=3
y= 25
Explanation:

24. Solve:  -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3
1 < x < 3
-1 < x < 3
1 ≤ x ≤ 3
Explanation:

25. Find the value of y in 7y=63

y=9
y=6
y= 49
y=70
Explanation:

26. Which symbol would you use to represent 'greater than or equal to'?

>=
>
<
<=
Explanation:

The correct choice is '<=', which means 'greater than or equal to'.

27. Which inequality represents 'x is less than 10'?

x <= 10
x > 10
x < 10
x >= 10
Explanation:

The correct choice is 'x < 10', as it represents that x is less than 10.

28. What is the solution to the inequality 2(x + 3) <= 10?

x >= 2
x <= 2
x <= 1
x >= 1
Explanation:

The correct choice is 'x <= 2', as solving the inequality gives x <= 2.

29. Which symbol represents 'less than'?

<
>=
>
<=
Explanation:

The correct choice is '<', which means 'less than'.

30. What is the solution to the inequality 4x + 2 < 18?

x > 4
x > 5
x < 5
x < 4
Explanation:

The correct choice is 'x < 4', as solving the inequality gives x < 4.

31. Which inequality represents 'x is greater than or equal to 5'?

x = 5
x >= 5
x <= 5
x = 5
Explanation:

The correct choice is 'x >= 5', as it represents that x is greater than or equal to 5.

32. What is the solution to the inequality 3(x - 2) > 9?

x > 7
x < 7
x > 5
x < 5
Explanation:

The correct choice is 'x > 5', as solving the inequality gives x > 5.

33. Which symbol represents 'greater than'?

>
>=
<=
<
Explanation:

The correct choice is '>', which means 'greater than'.

34. Which inequality represents 'x is less than or equal to 2'?

x > 2
x < 2
x >= 2
x <= 2
Explanation:

The correct choice is 'x <= 2', as it represents that x is less than or equal to 2.

35. What is the solution to the inequality 5(x + 1) < 20?

x < 3
x < 4
x > 4
x > 3
Explanation:

The correct choice is 'x < 3', as solving the inequality gives x < 3.

36. Which symbol represents 'less than or equal to'?

<=
>
<
>=
Explanation:

The correct choice is '<=', which means 'less than or equal to'.

37. What is the solution to the inequality 4x + 8 > 20?

x < 3
x < 4
x > 4
x > 3
Explanation:

The correct choice is 'x > 3', as solving the inequality gives x > 3.

38. Which inequality represents 'x is greater than 7'?

x >= 7
x < 7
x <= 7
x > 7
Explanation:

The correct choice is 'x > 7', as it represents that x is greater than 7.

39. What is the solution to the inequality 3(x - 4) <= 15?

x <= 7
x <= 6
x >= 6
x >= 7
Explanation:

The correct choice is 'x <= 7', as solving the inequality gives x <= 7.

40. Which symbol represents 'not equal to'?

>
=
<
!=
Explanation:

The correct choice is '!=', which means 'not equal to'.

41. What is the solution to the inequality 2x - 6 < 10?

x > 9
x < 8
x < 9
x > 8
Explanation:

The correct choice is 'x < 8', as solving the inequality gives x < 8.

42. Which inequality represents 'x is greater than or equal to 3'?

x <= 3
x >= 3
x < 3
x > 3
Explanation:

The correct choice is 'x >= 3', as it represents that x is greater than or equal to 3.

43. Which symbol represents 'equal to'?

==
>
=
<
Explanation:

The correct choice is '=', which means 'equal to'.