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Quarter 3 final revision Grade 6

Total questions: 51

Worksheet time: 2hrs 44mins

Name
Class
Date
1.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
2.
Which of the following is a possible answer to x>15
a)
15
b)
14
c)
-1
d)
20
3.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
4.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
5.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
6.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
7.
Which symbol does inequalites not contain? 
a)
b)
>
c)
=
d)
8.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
9.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
10.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
11.

x + 4 = 11

a)

44

b)

7

c)

15

d)

3

12.

 x8= 2\frac{x}{8}=\ 2  

a)

10

b)

6

c)

4

d)

16

13.
Solve the following equation for n:
8n = 16
a)
n=24
b)
n=32
c)
n=2
d)
n=8
14.

Combine Like terms

5x + 3x - 9

a)

7x - 9

b)

17x

c)

8x - 9

d)

-x

15.

y + 65 = 182

a)

y = 107

b)

y = 117

c)

y = 247

d)

y = 123

16.

4x = 72

a)

x = 18

b)

x = 68

c)

x = 288

d)

x = 62

17.

r/6 = 18

a)

r = 12

b)

r = 68

c)

r = 104

d)

r = 108

18.

x + 3.7 = 9.2

a)

x = 12.9

b)

x = 5.5

c)

x = 6.5

d)

x = 7.2

19.

m + 5.44 = 17

a)

m = 4.86

b)

m = 22.44

c)

m = 13.86

d)

m = 11.56

20.

m - 18.2 = 5.64

a)

m = 11.7

b)

m = 12.56

c)

m = 23.84

d)

m = 33.8

21.

6a = 468

a)

a = 462

b)

a = 78

c)

a = 74

d)

a = 68

22.

Expand

6(t - 2j) =

a)

6 x t - 2j

b)

6 x t - 6 x 2j

c)

6 x t - 2 x j

d)

6t - 2j

23.

Expand using the distributive law

3 (a - 2)

a)

3a - 2

b)

a

c)

6a

d)

3a - 6

24.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

25.

Simplify 3x + 2y - 2x + 3y.

a)

x + 5y

b)

5x + 5y

c)

5x + y

d)

5x - 5y

26.

Simplify 5h + 2g + 3h + 4g.

a)

8h + 6g

b)

7h + 7g

c)

14gh

d)

8h - 6g

27.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
28.

Expand the following expression...

a)

6x + 18

b)

6x + 3

c)

6x + 9

d)

6x + 12

29.

Expand the following expression...

a)

36x - 45

b)

27x - 45

c)

36x - 4

d)

27x - 36

30.
Expand 3(4d - 3)
a)
12d - 9
b)
7d - 6
c)
34d - 33
d)
12d2 - 9
31.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
32.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
33.
25 is the same as 2 x 5.
a)
True
b)
False
34.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
35.
Which number is the VALUE?
2
a)
2
b)
4
c)
16
36.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
37.
5 + (2+1)3
a)
512
b)
14
c)
32
d)
24
38.

(4 + 3)2+5 x 3

a)

57

b)

64

c)

29

d)

44

39.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
40.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t
a)
21
b)
11
c)
10
d)
22
41.
Write an algebraic expression for the word phrase.
12 more than (m) machines
a)
12-m
b)
m-12
c)
12+m
d)
m+12
42.
Combine the like terms. Simplify.
2x + x - 4y
a)
2x+x-4y
b)
4x+4y
c)
3x-4y
d)
3x+4y
43.
Solve using distributive property. 
3(x-6)
a)
3x+18
b)
3x-6
c)
3x+6
d)
3x-18
44.

A shop sells vases holding 9 red roses and 6 white roses. The expression 9v + 6v represents the total number of roses needed for v vases. Simplify the expression by combining like terms.

a)

15v

b)

15 + v

c)

54v

d)

54 + v

45.

Evaluate the expression for

the given value of the variable:

16s, where s = 9.

a)

25

b)

1 7/9

c)

7

d)

144

46.

Is 3x + 9 equivalent to 3(x + 3) + 6?

a)

No

b)

Yes

c)

There's no way to know

47.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
48.
Evaluate the given expression when a = 4 and b = 5. 
2a + 6b
a)
38
b)
34
c)
19
d)
89
49.

Which equation best describes the situation below?

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

50.
Write the word sentence as an inequality
a number b is at least -16
a)
b ≥ -16
b)
b ≤ -16
c)
b = -16
d)
b > -16
51.
Write the word sentence as an inequality
6 times a number x is at most 47
a)
6x > 47
b)
6x ≥ 47
c)
6x < 47
d)
6x ≤ 47