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WorksheetsG7 Review
Total questions: 220
Worksheet time: 6hrs 46mins
Solve: y + 9.3 = -4.2
y = -13.5
y = 13.5
y = 5.1
y = -5.1
Identify the steps to solve for b
Add 6 to both sides and divide both sides by 5
Add 6 to both sides and multiply both sides by 5
Subtract 6 from both sides then multiply both sides by 5
Subtract 6 from both sides then divide both sides by 5
5x−1=19
x=4
x=10
x=5
x=15
6x + 4 = 9x − 5
(a)
5x + 18 = 12x + 4
(a)
24 = 3(3x −7)
x = −9
x = 5
x =3
x = 7
r + 11 + 8r = 29
r =0
r = 1
r = 2
r = 3
−5(4x − 2) = −2(3 +6x)
x = 2
x = 8
x = −2
x = −8
-6=6
14 + 35v = 3v + 14
One Solution
No Solution
Infinite Solutions
36 - 7p = -7p + 35
One Solution
No Solution
Infinite Solutions
-2v + 4 = -3 -2v
No Solution
Infinite Solutions
One Solution
3 + 5n = 5n + 3
One Solution
No Solution
Infinite Solutions
8x + 38 = -3 (-6 - 4x)
No Solutions
Infinite Solutions
One Solution
3x + 15 = 3(x + 5)
One Solution
9y+8=9y-8
No Solution
One Solution
Infinite Solution
-10y-6 = -10y-6
No Solution
One Solution
Infinite Solutions
3(x-8)=3x-24
No Solution
One Solution
Infinite Solutions
6(m+3)=2(m+5)
No solution
One Solution
Infinite Solutions
-5(2x - 4) = 2(10 - 5x)
No Solution
One Solution
Infinite Solution
Solve the equation 5(3x+2) - 2(x - 3) = 23
x = 7/13
x = 3/5
x = 9/13
x = 5/13
Solve the equation:
x = -23
x = -27
x = -29
x = -11
Solve the equation: 4(x+3) = 27 + 4x
x = 24
No solution
All real numbers
x = -24
Solve the equation
x = 82/11
x = 85/11
x = 81/11
x = 76/11
Solve: 5-3x=2x+25
x = -4
x = -3
x = -5
x = 3
Solve: 4x + 9 = 13 - x
x = 3/5
x = 4/5
x = 1/5
x = 2/5
Write as an equation: "The sum of five and twice a number makes 11"
5(2x) = 11
5/2x = 11
5 + 2x + 11
5 + 2x = 11
Anne is five years older than her brother Barry. In five years time, the sum of their ages will be 43. How old is Barry?
14
19
12
17
Ben has 20 more candies than Albert. If both boys each received five more candies, Ben would have twice as many candies as Albert. How many candies does Albert have now (before he received the extra candies)?
20
40
35
15
Simplify: 4(2x - 3) - 5(3x + 1)
-7x + 3
-7x -17
-7x - 3
-7x + 17
In the expression 5x2 - 4x + 3, what is the coefficient of x?
5
4
-4
3
Given the formula v = u + at find the value of t if v = 12, u = 2 and a = 5.
2
3
4
5
If f(x) = 3x2 + 5x + 8 find f(-1)
4
6
8
10
If f(x) = 2x - 3 and f(a) = 7, what is the value of a?
11
13
3
5
Solve the equation x2 + 4 = 13. Select ALL answers that are correct.
3
4.5
-3
-4.5
If a=3 , find 7−a
2
3
4
5
-14_______-32
<
>
=
-36 is greater than -35.
True
False
Which of the following is above sea level?
-368 ft
2,851 ft
Expand and simplify 4(7x + 3).
28x + 12
28x + 3
47x + 12
47x + 3
Expand and simplify 5(2 - 3y).
10 - 15y
10 + 15y
10 - 2y
10 - 3y
Expand and simplify -3( 2r + 5s).
-6r - 15s
-6r + 15s
-6r - 15
-6r + 2s
Expand and simplify -2(3x - 4).
-6x + 8
-6x - 6
-6x - 8
6x + 8
Expand and simplify -(2y - 1).
-2y + 1
-2y - 1
2y + 1
2y - 1
Simplify 3x + 2y - 2x + 3y.
x + 5y
5x + 5y
5x + y
5x - 5y
Simplify 7y - 3 - 2y.
5y - 3
9y - 3
2y
7y - 5
Simplify 5h + 2g + 3h + 4g.
8h + 6g
7h + 7g
14gh
8h - 6g
Simplify -9e + 2f - 2e + 3f.
5f + 11e
5f - 11e
11e - 5f
11e + 5f
Expand and simplify 2(x + 3) + 4
2x + 10
2x + 7
2x + 14
x + 10
Expand and simplify 3(x + 2) + 4(2x +1).
11x + 10
11x + 7
7x + 10
11x + 3
Expand and simplify 4(y - 3) + 2(3 +2y).
8y - 6
6y - 6
8y -1
4y -12 + 6 + 4y
Expand and simplify 3(2z + 1) - 2(5 + z).
4z - 7
7z - 7
8z - 7
4z + 13
Expand and simplify 3(c - 2d) - 2(2c - 3d).
-c
c
-c - 12d
-c + 12d
Simplify 3k - 3m + 4k + 2m - 2k.
5k - m
-5k + 5m
5k - 5m
-5k - m
Expand 3 (x+5)
3x
15
18x
3x+15
Expand 3(x−5)
3x
−2x
3x−15
3x−2
Expand and simplify 3(2a+5)+5(a−2)
11a+5
6a+15
11a−5
6a+15+5a−10
Simplify 7b+4−3b
10b+4
8b
4b+4
−4b+4
Simplify 9x+x−4x+x
7x
x2+5x
5x
−x2+5x
4 less than 5 times p
Expand and simplify 4(7x + 3).
28x + 12
28x + 3
47x + 12
47x + 3
Expand and simplify 5(2 - 3y).
10 - 15y
10 + 15y
10 - 2y
10 - 3y
Simplify 3x + 2y - 2x + 3y.
x + 5y
5x + 5y
5x + y
5x - 5y
Simplify -9e + 2f - 2e + 3f.
5f + 11e
5f - 11e
11e - 5f
11e + 5f
Expand and simplify 2(x + 3) + 4
2x + 10
2x + 7
2x + 14
x + 10
Expand and simplify 3(x + 2) + 4(2x +1).
11x + 10
11x + 7
7x + 10
11x + 3
Expand and simplify 3(2a+5)+5(a−2)
11a+5
6a+15
11a−5
6a+15+5a−10
What is (3x -2) - (4x + 1) in simplest form?
x - 3
-x - 3
-x + 1
x + 1
Which expression is equivalent to -5(x + 10)?
5x + 50
-5x + 10
-5x - 50
5x - 50
Simplify this expression....
28a3
28a2
11a3
11a2
Simplify this expression....
27a2
12a2
27aa
12aa
Simplify this expression....
30mn
30m
11mn
11n
John's answer to the question below was 12h + 3. What were John's errors?
Expand and simplify the expression below:
6h (2h + 3)
He did not add the powers for the variable h.
He did not multiply 6h x 3
He did not use the distributive law correctly
All of the above
Who lives in a pineapple under the sea? (Select all that apply)
Spongebob!
Mr. Squarepants!
Spongebob Squarepants!
Patrick's best friend!
Simplify the expression: 3(x + 4)
3x + 12
3x - 4
3x + 16
3x^2 + 12
Expand the expression: 2(3x - 5)
6x - 10
6x + 10
3x - 10
5x - 6
Use the distributive property to simplify: 4(2x + 7)
4x + 14
6x + 28
8x + 14
8x + 28
Expand the expression: 5(4x - 3)
25x - 15
20x - 15
20x + 15
9x - 15
Apply the distributive property to simplify: 6(3x + 2)
12x + 8
9x + 6
18x + 24
18x + 12
Expand the expression: 3(2x - 6)
6x - 18
5x - 24
9x - 12
x - 12
Simplify the expression: 2(5x + 3)
15x + 6
10x + 6
10x - 3
7x + 5
Use the distributive property to expand: 7(4x - 2)
28x - 14
16x - 8
30x - 10
11x - 5
Expand the expression: 4(3x - 8)
4x - 8
12x + 32
12x - 32
7x - 24
Apply the distributive property to simplify: 8(2x + 5)
16x - 40
16x + 5
16x + 40
16x + 10
Expand the expression: 3(4x - 7)
12x - 21
12x + 21
7x - 12
12x - 28
Simplify the expression: 5(x + 6)
5x + 30
5x - 30
11x + 30
5x^2 + 30
Apply the distributive property to simplify: 7(5x + 3)
35x + 21
35x - 21
12x + 21
35x + 10
Factorize 3x+9
3(x+3)
x(3+3)
9(x-3)
3x(x+9)
Factorize and choose the correct answer
a2 + bc + ab + ac
(a+c) (b+c)
a (a+b+c)
(a+b) (b+c)
(a+b) (a+c)
(x+1) (x+1) is a factor of
x2+1-2x
x2+2x+1
x2-2x+1
2x+1-x
Factorize 25x2y - 5xy
5xy (x - y)
5xy (5x + 1)
5xy(5x-1)
5xy (5x + 5)
What is the greatest common factor of 18 , 9 , 48 and 27
3
15
9
18
Choose the correct answer:
The factors of a4 - b4 is _____
(a2 + b2) (a2 + b2)
(a2 - b2) (a2 - b2)
(a2 + b2) (a + b) (a - b)
None of these
Factorise 12x+36
12(3x+1)
x(12+36x)
12(3x)
12(x+3)
On factorizing 14pq + 35pqr, we get:
7pq(2+5r)
q(14p+35pr)
p(14q+35qr)
pq(14+35r)
Factorise 9x-9
9(x)
9(x−9)
9(x−1)
9(x+1)
Factorise 21x-14
14(21x)
14(21x−1)
7(3x-2)
7(3x−14)
Factorize 2ab+6b .
6b(a+1)
3b(a+2)
2b(a+3)
b(2a+6)
Factorize 20mn3−8m2n2 .
4n(5n−m2)
4mn(5n−2m)
4mn2(5n−m)
4mn2(5n−2m)
Factorize 24xy−8xz+16xyz .
8(3xy−2yz−xz)
8x(3y−2yz+z)
8x(3y+2yz−z)
8x(3y+yz−2z)
Factorize 3m(2m−5n)−(2m−5n)(n+2m).
(2m−5n)(m+n)
(2m−5n)(m−n)
(2m−5n)(5m+n)
(2m−5n)(5m−n)
Factorize 3(x−2y)+2x(2y−x) .
(x−2y)(3−2x)
(x−2y)(3+2x)
(2y−x)(3−2x)
(2x−x)(3+2x)
Factorize 10p2−6pq+2p .
2p(5p−3q)
2(5p2−3q+1)
2p(5p−3q+1)
2p(5p−6q+1)
Factorize pq−5q+2p−10 .
(p−5)(q−2)
(p−5)(q+2)
(p+5)(q−2)
(p+5)(q+2)
Factorize 6am+n−2m−3an .
(a+1)(6m−n)
(a−1)(6m−n)
(2m−n)(3a+1)
(2m−n)(3a−1)
Factorize pr−qr+ps−qs+qt−pt .
(p+q)(r+s−t)
(p+q)(r−s+t)
(p−q)(r+s−t)
(p−q)(r−s+t)
Factorize 4(3r−2s)−(2s−3r)2 .
(2s−3r)(2s−3r+4)
(2s−3r)(2s−3r−4)
(3r−2s)(4−3r+2s)
(3r−2s)(4−3r−2s)
Find the angle labelled e.
37
143
163
57
Find the angle labelled w.
72
92
108
128
Find the angle labelled c.
189
11
169
31
Find the angle labelled t.
132
48
152
68
Find the angle labelled u.
116
136
84
64
Find the angle labelled u.
44
64
136
156
Find the angle labelled s.
131
49
151
69
Find the angle labelled x.
147
33
167
53
Find the value of angle f.
25°
46°
157°
23°
Find the value of angle i.
131°
49°
98°
262°
What is an exterior angle of a triangle?
angle formed by any of the sides inside the triangle
angle between any of the side of a triangle extending outside
What is n ?
67
113
134
180
What is x ?
48
52
80
100
What is x ?
60
80
140
160
What is x ?
36
39
75
111
What is the value of x ?
22
44
66
99
What is x ?
46
49
108
147
What is the value of x and y ?
x = 41, y = 92
x = 88, y = 92
x = 47, y = 88
x = 88, y = 47
Which is the smaller remote interior angle?
10
40
76
116
What is the measure of angle 4?
35
92
123
145
What is the name of a 6 sided polygon?
Hexagon
Heptagon
Pentagon
Octagon
What do you call a nine sided polygon?
Nonagon
Octagon
Nineagon
Decagon
How many sides does a quadrilateral have?
3
4
5
6
What do you call an eight sided polygon?
Octapus
Octagon
Hexagon
Heptagon
Find the value of the missing angle a...
76
284
294
66
Find the value of the missing angle a...
81
71
279
289
Find the value of the missing angle a...
121
111
211
201
Find the value of the missing angle a...
50
60
55
65
Find the value of the missing angle a...
145
154
235
253
Find the value of the missing angle a...
177
176
167
187
Find the value of x
40
57
83
140
Find the measure of each angle indicated.
(a)
Find the measure of the indicated angle.
(a)
Find x
(a)
Use the Triangle Sum Theorem to find the measure of angle C in degrees.
(a)
What do all interior (inside) angles of a triangle have to add up to?
800°
180°
5000°
10°
(a)
116
25
62
54
22÷16
4
1
81
21
(22×33)2
24×35
36×24
33×24
22×36
4332×622
23
633
2332
253
3x9x2
3x
9x
3x2
x9
Consider that
a2×a−3
=a2×a31
=a3a2
=a1 ,
which of the following rule is used ?
am⋅an=am+n
(am)n=amn
a0=1
a−m=am1
For leaving only possitive indices, which is the expression for a−2 .
a1
a−21
a21
−a2
42⋅4−3
4
41
45
4−5
2−11⋅4
2
8
2−1
8−1
3−232
34
31
3−1
1
Challenge question:
a−1⋅a2⋅a−3⋅a4⋅⋅⋅a−9⋅a10
a55
a5
a−5
a−55
xx4=
(x÷1)4
x(4÷1)
x(4−0)
x(4−1)
What is 46÷42
43
44
What is x 5÷x
x5
x4
x3
x2
What is 23x24
27
212
What is 7.23x7.22
7.26
7.25
What is a8÷a3
a3
a4
a5
a6
What is 106÷102x105
1015
108
109
1020
What is b3xb4÷b2?
b7
b5
b6
b2.5
72×73=
75
76
14×21
492×3
Write 95 ÷ 93 as a single power
92
98
915
12
Simplify 53 x 54
57
257
512
2512
Simplify 620 ÷ 65
615
625
15
64
Simplify,
t -3 ÷ t - 1
t 2
t - 4
t - 2
(t - 1)2
Simplify:
25 x 6
5 x 3
20x3
5x9
5x3
21
4
2−1
1
what is the value of x?
0
1
2
3
Simplify: χ3 ÷ χ2
χ
χ5
χ6
χ-1
1/χ
