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WorksheetsWeek 1: PEMDAS, Simplify & Evaluating
Total questions: 194
Worksheet time: 8hrs 52mins
5x−6x−8x+7=
−9x+7
−9x−7
9x+7
9x−7
Which of the following is equivalent to 5a+2b−3a+4 ?
8a+2b+4
2a+2b+4
8ab
4ab+4
−r−10r is equivalent to
11r
−11r
9r
−11
If c = 3 and d = 2, then 3c + 7d =
If a = 4, then 5a + 7a - 8 =
Which of the following is the coefficient in this expression?
6f2
6
f
2
Which of the following is the constant in this expression?
5g3 + 2
5
g
3
2
How many terms are in this expression?
-3c + 7d
How many terms are in this expression?
3x - 6 + 4b + 5 + 7 - 2x
14k+4+18−16k=
17m - 4 - 15m + 8 =
2m - 4
2m + 4
-9 + 13 + 16f + 19f =
-15 - 11 + 3g + 18g =
21g - 12
21g - 26
21g + 4
11m - 8 - 12 + 10m =
A(n) __________________ is a number and/or variable that is separated by addition or subtraction.
variable
term
coefficient
expression
A __________ is the numerical term in an algebraic expression.
Variable
Constant
Term
Coefficient
2(7c−8) =
14c - 16
14c + 16
7c - 16
c - 16
9(2g+3) is equivalent to
18g + 27
18g - 27
-18g - 27
18g - 18
8a+4b+2c−3b+a=
9a+b+2c
9a+7b+2c
12abc
18abc
9x2+14x−x2+6x is equivalent to
8x2+20x
9x2+20x
10x2+20x
8x2+8x
5(3+5x−1) =
25x+10
15+25x
25x+15−1
25x+2
29x+8(4y−2x)=
13x+32y
27x+12y
31x+32y
13x−32y
6(2a+5b)+3(a−8b)=
15a+6b
21ab
5a
15a−6b
8(2x+3)−13 is equivalent to
16x+11
16x
24x+41
4−24x
(4a3−8a−4a2)+(7a3−7−6a)=
11a3−4a2−14a−7
5a3−4a2−14a−7
11a3−4a2+20a+7
3a3−9a2−20a−7
9(2g+3) =
18g+27
18g−27
−18g−27
18g−18
5a+2b−3a+4=
8a+2b+4
2a+2b+4
8ab
4ab+4
5(x+2)+2x=
7x+2
7x+10
5x+4
7x+7
3(x−y+5)=
3x−3y+8
3xy+15
3x+3y+8
3x−3y+15
−(2x+3)−x=
−x+3
3x+3
x−3
−3x−3
These have the same variable and the same power, and can, therefore, be combined...
Expressions
Distributive Property
Additive Inverse
Like Terms
The number in front of a variable telling the mathematician how much to multiply the variable by is called the...
Term
Constant
Coefficient
Expression
10x−3(2x+8)=
4x−24
−4x+24
16x−24
14x−6
Which expression is equivalent to 4x + 30y?
Which expression is equivalent to
3x+21(−12x−16) ?
−21−32
9x+8
−3x−8
−6x−8
−x+y−z+10z+2x−10y=
x−9y+9z
x−9z−9y
−x−9z−9y
−x−9−9y
11m−8−12+10m=
m−20
m−4
21m−4
21m−20
a−8−10=
2a−18
a−18
a−2
a+18
−9(14p−8)−4p=
130p−72
122p+72
−130p−18
−130p+72
−5(x+4)=
5x+4
−5x+4
−5x−20
−5x+20
−4(x+6)+2(x−2)=
−2x+28
−2x−28
6x+28
6x−28
2x+3x−12x=
7x
−7x
−17x
17x
−9x+17x−8x=
34
Zero
−34
x
21−8x−4+9x=
−4x−17
17x+25
x+17
17x+17
(2x+5)−(x+4)=
x+1
3x+9
−x+1
x+9
(4x−2x3)+(5x3−4x+5)=
3x3+5
3x3+8x+5
3x2+5
7x3+8x+5
(3 - 2x + 2x2) + (4x - 5 + 3x2) =
(4n4−8n+4)−(8n2+4n4+1)=
−8n2−8n+3
−4n2−8n+5
−8n4−12n2−8n+3
−7n2−4n+5
(2x+5y)+(3x−2y)=
3x+5y
5x+3y
5x+7y
7xy+xy
(4x3−5x2+3x)+(−2x3−x2+6x)=
2x3−6x2−9x
2x3+6x2+9x
−2x3−6x2+9x
2x3−6x2+9x
(3x2 +2x -1) - 2(x+4) =
7b + 6 - 3b + 3 =
10 b + 9
4b + 9
4b + 3
10b - 3
10 + 3b + b - 3 =
3b - 7
4b + 13
4b - 7
4b + 7
10a + 7 + 3a - 2 =
13a - 5
7a - 5
13a + 5
13a - 9
b + b + b + 5 =
8b
2b + 5
3b - 5
3b + 5
12 + 6a - 4b + 3a - 5 =
9a - 4b + 17
3a + 4b + 17
9a - 4b - 7
9a - 4b + 7
7xy + 2 - 3xy + 6 - 4 =
4xy + 12
10xy + 4
10xy - 4
4xy + 4
4d + 2d - 6 - d =
6d - 6
5d - 6
7d - 6
5d + 6
15 + 8c - 5c - 8 =
3c + 7
13c + 7
13c - 7
3c - 7
9x + 4y - 3y + 5x + 8 =
14x + 7y + 8
14x + y + 8
4x + y + 8
4x + 7y + 8
10n - 3n + 5 + 4n - 2 =
17n + 7
11n - 3
11n + 3
17n - 7
What is the first step in evaluating this expression?
-12 ÷ 6(-3) + 8
What are the correct steps to evaluate the following expression?
50 − 16 ÷ 2
8 - 4 ÷ 4 =
5 - 3 + 2
5 - 5
0
Should have added first.
Should have subtracted first.
3 + 27 ÷ (-3) =
2 + (92 - 4) =
What do you do first to evaluate this expression?
12 ÷ 3 x 4
4(8) ÷ (8 − 6) =
17 - 9 + 6 =
7(3a - 2)?
( )
What is the value of this expression when a=3?
2(3a - 2)
If a = 4, and b = 2, then -3a + 2b =
What is the coefficient of the x term in the following expression?
2x - 5 + 4
If a = 4, then 5a + 7a - 8 =
What is the value of 3c + 7 when c = 4
What is the value of this expression when b = 5?
9+b−(b−3)
What is the value of this expression when x = 8?
7(6+3−x)
What is the value of this expression when c = 3 and d = 2?
3c + 7d
33 =
9m - 7m + 2m =
12(a - 4) =
5(a + 6) =
3(2c - 5) =
−8x+4x=
2x + 1 + 7x =
4(-2x - 3) =
-2(4p - 8) - 4p =
The following are equivalent expressions:
6(2x + 10) and 12x + 60
A number with no variable attached is called a(n) _____.
integer
coefficient
exponent
6 + 2(7x - 3) =
2(x−2)+5x=
12x−4
7x2−4
7x−2
7x−4
What is the inverse (opposite) of addition?
7v + 2 + 12 + 2v =
4(−x−6)=
4x−24
4x+24
−4x+24
−4x−24
-3(2x - 5) =
-10x - 9x + 1 =
2x + 3(x + 3) =
5x - 9
-5x - 9
4x + 5(x - 2) =
9x - 10
-9x - 10
5(−8n+5)−4n=
6a - 2(3a + 4) =
6(3 - y) =
7b + 6 - 3b + 3 =
10b + 9
4b + 9
4b + 3
10b - 3
10 + 3b + b - 3 =
3b - 7
4b + 13
4b - 7
4b + 7
c + c + 4 + 2c =
4c
2c + 4
4c + 4
3c +4
Evaluate this expression for a = 3 and b = 4.
4b−5a
2
1
-8
8
If a=3 and b=4 , then 7a + 2(8b)=
110
100
80
85
Evaluate this expression for x=7, y=15, z=8.
xz - 2y + 8
30
1553
34
15
Evaluate this expression for a = 3, b = 4.
3ab
3
12
4
20
2f+f=
3f
2f
f
2f2
-6 + 2a + 1 + 2a =
-4a + 5
-5 + 4a
4a +5
-4a - 5
3 + 5x + 8 - 2x =
2(x + 4) =
2x + 4
2x + 8
2x + 6
10x
3x(y + 4) =
3x3y + 4x
3xy + 4x
3xy + 12x
3x + 3y + 12
6(x + y + 7) =
6x + 6y + 42
12xy + 42
6x + 6y + 7
6x6y + 42
21(t+8)=
2t1t+28
21t+8
21t+4
21t+168
3x(9 + 2y - 3z) =
27x + 6xy - 9xz
24xyz
27 + 6y - 9z
27x + 6x - 9x
9(2x + 5x) =
90x
18x + 45
18 + 45x
63x
7(5x−1)=
35x+7
35x−1
35x−7
−35x−7
5(−10x−5)=
50x+25
−50x−25
−50x+25
50x−5
6+4(3)=
(10+2)10−3=
90−52(3)=
85
What is the first step in evaluating this expression?
3+4⋅6−4
division
18+(6−2)⋅2=
What is the value of 2x+5(y−1) when x=8 and y=5 ?
If a = 10 and b = 6, then 2a + 4b =
What is the value of 3x + 8 when x = 2?
If y = 2, then what is the value of 7y - 3y?
If b = 3, then what is the value of b2 + 4?
What is the value of -2x + -3y when x = 10 and y = -6?
18
-38
12
-2
If p = -6, then -10(p + 4) =
2
20
-2
-20
What is the value of t2 - t + 1 when t = 5?
8+(5)(4)−(6+10−2)+44=
92
1(−7+2(3+2)−5)2=
Which operation is performed SECOND?
44 ÷ 2(3 - 1)
muliplication
division
subtraction
addition
24 ÷ 4 ⋅ 2 + (32 - 1 + 6) =
5
14
17
26
3 x ( 144 ÷ 12 - 4 ÷ 2 ) =
26
30
14
12
[ 15 + ( 6 x 2 ) x 42 ] + 6 =
313
438
213
117
If f(x) = 6x2 - 4,
then what is the value of f(-1)?
If f(x)= -2x + 13, then what is the value of f(10)?
If g(x) = -8x + 1, then what is the value of g(-2)?
-8
-15
17
8
If f(x)=x2−5x ,
then what is the value of f(4)?
What is the value of g(5) when g(x) = 2x + 3?
13
15
10
8
What is the value of h(1) if h(x)=3x2−4x+2 ?
1
0
3
-1
What is the value of f(2) if f(x) = 3x - 5?
1
6
-1
0
What is the value of f(2) if f(x)=−x2+6x−3?
-1
7
5
13
What is the value of n(10) if n(x) = 0.7x - 2?
5
7
3
9
What is the value of m(-1) if m(x)=2x2−3x+1?
-4
0
6
2
If q(r) = 3r - 7, then what is the value of q(2)?
-1
-7
1
-5
What is the value of f(4)−g(−3) if
f(x)=3x and g(x)=10−x2
-5
3
11
21
What is the value of f(3) if f(x)=3x+2?
What is the value of f(2) if f(x)=5x −6 ?
5
4
10
16
What is the value of g(−1) if g(x)=−24x+1 ?
What is the value of h(0) if h(x)=6x2+1 ?
What is the value of f(−8) if f(x)=3x−2 ?
16
-26
-22
What is the value of g(−7) if g(x)=7x−1 ?
48
-48
50
What is the value of g(0) if g(x)=7x2+23?
0
30
37
23
What is the value of h(−5) if h(x)=3x2+2 ?
-73
77
-13
-43
What is the value of h(6) if h(x)=x2+2x+1 ?
25
39
49
81
What is the value of f(−2) if f(x)=x2+2x−3 ?
-11
-3
5
11
What is the value of f(1) if f(x)=3x2+2x ?
6
5
8
0
What is the value of f(12) if f(x)=x2−2x ?
142
132
20
Given f(x) = x+3, what is the value of f(-2)?
-1
1
5
-5
Given f(x)=−2x +x2, what is the value of f(10)?
0
80
98
18
If f(x)=−x2+3x, then what is the value of f(−3)?
18
0
1
-18
3x -7x + 8 =
-4x + 8
4x+8
11x + 8
none of the above
2(4x - 5) + 8x =
4x -5
16x -10
16x + 10
8x -10
x2 −9 −4x2+20=
−5x2 +29
−3x2 +29
−3x2 −11
−3x2 +11
(4x2 −5 +3x) + (2x2 +10 −5x)=
6x2 +2x− 15
6x2 +7x+ 5
6x2 +7x−15
6x2 −2x+ 5
(4x2−2) − (x2 + 2x −3)=
5x2 + 2x +5
3x2 −2x +1
5x2 + 2x −5
3x2 + 2x +5
What is the value of y = -4x + 10 for x = -2?
2
14
18
6
if x = 5 and y = -1 , what is the value of
2y − 1−5x−2?
−9
9
-7/2
−323
What is the value of m in this equation when x = -1?
m = 73x −2
−65
73
−75
71
The area of a rectangle is given by A = LW, where L is the length and W is the width. If length is 20 meters and width is 15 meters, what is the area of the rectangle in square meters?
70
200
35
300
What is the value of 4x2− 6 when x = - 2?
16
10
-22
2
How many 4 21 m pieces can be cut from a ribbon that is 25m long?
hint: the word " 4 21 m pieces" is important to note
5
6
4
5.5
It costs 1.17p + .45e to buy p pencils and e erasers. What is the cost of buying 10 pencils and 15 erasers?
$18.45
$1.62
$1.845
$19
5+ 23+3[6−3(4−2)]=
13
1
−5
14
9+53−[4(9+3)]=
86
106
−14
95
Combine two negative numbers. The answer will be ________
Positive
Negative
Combine two postive numbers. The answer will be ________
Positive
Negative
Combine two numbers with the same sign. The answer will ________
Match the sign
Be a different sign
Combine two numbers with different signs. The answer will ________
Match the sign of the larger number
Match the sign of the smaller number
Multiply two numbers with different signs. The answer will be ________
Positive
Negative
Divide two numbers with different signs. The answer will be ________
Positive
Negative
Multiply two numbers with the same sign. The answer will be ________
Positive
Negative
Divide two numbers with the same sign. The answer will be ________
Positive
Negative
