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Basics of Algebra
Basics of Algebra
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Algebra basics quiz for students starting high school
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62 cards
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Questions
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Answers
1
Write the following in a shorter form: 3a + 5a
15a2
8a
15a
8a2
2
Use the multiplication index rule
67
367
68
128
3
What makes an algebraic expression?
variables
operations
numbers
all of the above
4
Identify the VARIABLE in this expression.
8
3 and -7
y
n
5
Simplify the following using both index laws (HINT: multiply before dividing)
4x4y3
8x4y2
6x7y3
4x7y3
6
Write the following in a shorter form: 2t x 3t
t6
6t2
6t
5t
7
Identify the VARIABLE in this expression.
v
b
-5 and 2
8
8
Write the following in a shorter form: 2 x Y x Y x 6
12Y
2Y12
Y12
12Y2
9
expand the brackets, 5w(w+10)
5w2+50w
5w-50w
5w2+50
5w-50
10
Use the multiplication index rule
b
a15
a11
a26
11
Collect like terms.
This expression is in its simplest form.
c6
3c6
6c
12
Simplify: 8(x + 3)
8x + 24
11x
8x + 3
11 + x
13
Expanding the brackets gives us what expression?
65y+63
30y+1
65y+18
30y+18
14
Write the following in a shorter form: 8c + 2c
10c
16c
10c2
10
15
Identify the CONSTANT(S) in this expression.
6
2 and 6
2 and 8
6 and 8
16
Simplify: 5(a + 4)
5a + 20
a + 9
5a + 4
9a
17
Which is an expression
18g +5f < 50
28 = 2p - 5
17m2
7w > 35
18
Write the following in a shorter form: 2 x 4 x a
4a2
8a
2a4
a8
19
Use the division index rule
1
33
31.5
13
20
Which is an expression?
5b > 2a
10n - 4 + 8n = 61
d + 8s - 39 = 9s - 4d
7(j - 18)
21
ANSWER IN INDEX FORM
1024
45
46
96
22
Write the following in a shorter form: 20 x p - 8 x p
12p
12p2
20 - 8 x p
p12
23
Simplify the following using both index laws (HINT: multiply before dividing)
a10
a15
a12
a9
24
Write the following in a shorter form: a x a x 4 x b
4a2b
4ab
a24b
ba
25
Use the division index rule
q8
q14
q10
q6
26
Which law is used when expanding brackets?
Factoring Law
Distributive Law
Median Law
Exponential Law
27
Use the multiplication index rule
36
98
3
38
28
Identify the COEFFICIENT in this expression.
n
4
-2
-2 and 7
29
What is another way to write 2 x 2 x 2 x 2?
2x4
42
2 x 4
24
30
Write the following in a shorter form: 7c + 12 + 2c
9c2 + 12
14c + 12
21c
9c + 12
31
What are like terms?
Adding adding and subtracting terms
Terms that contain same variables raised to the same power
Terms that contain different variables raised to same power,
dividing terms
32
Simplify: 5a + 2 + a + 10
5a2 + 12
6a2 +10
6a + 12
6a + 10
33
Which is an expression
28 = 2p - 5
7w > 35
17m2
18g +5f < 50
34
Write the following in a shorter form: 8 + w + w + 8 + 8 + 8
32w2
32 + 2w
32 + w2
64w
35
Identify the VARIABLE in this expression.
r
1
8 and 1
x
36
How else can you write n x n x n x n x n?
n5
5n
5 x n
37
Identify the VARIABLE in this expression.
n
10 and 2
m
9
38
Which is an expression?
48-2r
3x - 8 > 12
17 = 2y - 4
a - 4b + 2c < 33
39
Expand the brackets:
3d + 7
3d + 12
3d + 4
3 (4d)
40
Write the following in a shorter form: 8 + 8 + 8 + 5 + 5
83 + 52
8 + 5
8x3 + 2x5
30
41
Identify the CONSTANT(S) in this expression.
1 and 5
7 and 5
7
1 and 7
42
Write the following in a shorter form: p x p x p x 5 x q
3p5q
p3q
5p3q
5pq
43
Write the following in a shorter form: p x pq
pq2
pq
2pq
p2q
44
Write the following in a shorter form: 3 x 2 x b
2 x b3
b6
3 x b2
6b
45
What type of factorising do I use for this expression?
Difference of Two Squares
Factorising By Grouping
Guide Number (Quadratic Trinomial)
Highest Common Factor
46
Identify the CONSTANT(S) in this expression.
1 and 3
a
-1 and 3
3
47
The next question involves expressions...
8x5y7
8x6y12
2x5y7
2x6y12
48
Collecting like terms
2a + c
2a +9c
2a - c
4a + 6c
49
Write the following in a shorter form: 2d - 2d
d
2
d2
0
50
Write the following in a shorter form: 5q - 3q
2
15q
2q2
2q
51
The parts of an expression.
variable
constant
terms
coefficient
52
Use the multiplication index rule
612
62
3612
611
53
Expanding the brackets gives us what expression?
5a+4
6a+3
5a+1
6a+1
54
Write the following in a shorter form: 10 x p + 5 x p
p15
5p
15p
p10
55
Write the following in a shorter form: 4a + 5a + 2d
9a + 2d
9a2d
9a2 + 2d
11ad
56
Write the following in a shorter form: p + p + p + r + r + r + r
3p4r
3 x pr
3p + 4r
p3r4
57
Use the division index rule
y7
y2
y8
y<span style="font-size: 13.3333px;">22</span>
58
Which is an expression?
5b > 2a
d + 8s - 39 = 9s - 4d
10n - 4 + 8n = 61
7(j - 18)
59
Which is an expression?
48-2r
a - 4b + 2c < 33
3x - 8 > 12
17 = 2y - 4
60
Factorising expressions
4y2
y+4
y(y+4)
5y
61
Simplify: x(x+1)
2x + 1
x2 + x
x2 + 1
x + 1
62
Write the following in a shorter form: 2p
3
x 3p
2
5p6
6p5
6p6
6x5
