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Worksheetspre algebra review (3 units)
Total questions: 200
Worksheet time: 19hrs 0mins
A letter that represents a number is called a _____.
variable
coefficient
constant
term
What is the constant in the following expression?
8y + 5 - 35p
8
35p
5
8y
3(3x +1)
9x +3
3x + 3
12x
9x + 1
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
7, 24y
3x, 9x
3x, -9x
3x, -9x, 2x2
Simplify the expression: 2x + 1 + 7x
10x
10
9x + 1
9 + 1x
Simplify the following expression:
-6x + 4(-x - 3)
-2x - 12
10x + 12
-10x - 12
-2x + 12
Simplify by combining like terms:
5a + 2b - 3a + 4
8a + 2b + 4
2a + 2b + 4
8ab
4ab + 4
Which of the following is equivalent to
-8+9(5 + 2x)?
-5 - 2x
18x+37
-37 + 18x
18x - 53
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
-33b + 19
-47b2 + 21
33b - 19
-47b -19
3x2+4x2+7 is
7x4+7
7x2 + 7
7x5
7
The number before a variable is the _____.
term
constant
coefficient
variable
Simplify.
-2(x + 4) - 3(a - 6)
-2x - 3a - 26
-2x - 3a + 10
-2x + 3a - 26
-2x + 3a + 10
Simplify by combining like terms:
4x2 - 3x + 11 -2x
4x2 - 5x + 11
11x + 11
16x2 - 5x + 11
10x2
-12x2y - 3x2y
36x2y
15x2y
-9x2y
-15x2y
-(x + 4)
x + 4
x - 4
-x - 4
-x + 4
-5n2 - 8 - 5 + 8n2
3n2 - 13
-10n2 - 16
12n2 - 8
6n2 - 3
8n2 - 6n + 1 - n - 2
8n2 - 7n - 1
8n2 - 5n - 1
8n2 - 7n + 3
8n2 - 6n - 1
5 + 4v2 - v + 3v2 + 2v
5 + 7v2 + 1v
5 + 7v2 + 3v
5 + 1v2 + 1v
5 + 3v2 + 5v
-2p2 - 1 - 4p - 7p - 3
-2p2 - 4 - 11p
-2p2 - 2 - 11p
-2p2 - 4 - 3p
-2p2 - 5 - 10p
6n2 - 3 + 8n + 2 - n
6n2 - 1 + 7n
6n2 + 5 + 7n
6n2 - 1 + 9n
6n2 - 5 + 8n
-n - 8n2 - 2 - 3n2 - 6n + 4
-7n - 11n2 + 2
-7n - 5n2 + 2
-7n - 11n2 + 6
-6n - 11n2 + 2
8x2 - 8x - 1 + 2 - 3x + x2
9x2 - 11x + 1
8x2 - 11x + 1
9x2 - 5x + 1
9x2 - 11x + 3
y + x + y + y + x
2 + 3
x + y
2x + 3y
5xy
Simplify: 15x + 19 + 2x + 4
17x + 15
17x + 23
30x + 15
13x + 15
5x - 14 = 8x + 4
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
y-10 = -2(x+7)
y-10 = -2(x-7)
y+10 = -2(x+10)
y -10 = -2x+2
Wich is the degree of the monomial?
2x2y3z
2
3
1
6
Wich is the degree of the monomial?
−4xy4
1
4
5
-4
If a letter of a monomial has no exponent, its degree is...
0
-1
1
It depends on the coefficient
Name the expression.
monomial
binomial
trinomial
x³ + 3x
2n³
Combine like terms to simplify:
(5x + 2) + (4x - 5)
9x -3
-9x-7
9x+7
x+7
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(4x - 2x3) + (5x3 - 4x + 5)
43
9n12
9n7
27n7
27n12
0
4h1j1
4
1
Simplify.
x2x10
x18
x8
x20
x12
Simplify the expression. 4x232x6
8x4
8x8
6x4
6x8
Write the exponent form of this expression:
3x⋅2x
5x
x5
(x2y)5
9u4v5
6u4v5
9u4v6
6u4v6
8y3x6
6y2x8
8y2x8
16y2x8
Simplify:
x6y3x18y15
x3y5
x12y12
x24y18
x108y45
(ca2b3)3
ca6b9
c3a6b9
ca8b27
c4a5b6
(z4xy3)2
z8xy6
z16x2y9
z8x2y6
z16xy9
The exponent tells me...
the answer
the trick
the number of times to multiply the base (factor)
The number of days in a week
How would you write 8 . 8 . 8 . 8 . 8 in exponential form?
58
8 . 5
85
85
(2x + 5y) + (3x - 2y)
What is the degree of the polynomial? 5x5 - 6x6 + 2
1
5
6
11
3x3 – 6x
(4x2+ x) - (x2+ 2x)
9x2 + 5x + 27 + 2x3
(3- 2x + 2x2) - (4x -5 +3x2)
Write the polynomial in descending order.
−5n6−6n2−n4−5n6−6n2−n4
−5n6−n4−6n2
−6n2−n4−5n6
−6n2−5n6−n4
Identify the polynomial
−7x3Monomial
Binomial
Trinomial
Polynomial
Simplify
(2n2−n3)−(3+n2)n3+n2−3
−n3+n2−3
−3+n2
−7n3+n2−3
What is the perimeter of the triangle shown in terms of r?
9r2+r−5
9r4+r2−4
9r2−r+4
9r2+r−4
What is the perimeter of this rectangle?
8x2+24 units
12x+22 units
8x2+28x+24 units
6x+11 units
5x²-3x+6
4x2 + 2x - 1
3 + 4 x 6 - 4
5 - 3 + 2
5 - 5
0
Which operation is performed FIRST?
(13 - 1) + 4
addition
subtraction
multiplication
addition
Which operation is performed SECOND?
44 ÷ 2 X (3 -1)
muliplication X
division ÷
subtraction -
Addition
What does the E in PEMDAS stand for?
Exceptional
Egg
Exponent
Empty
Which operation is performed FIRST?
25 x (3-1)
multiplication
subtraction
division
addition
Which operation is performed SECOND?
44 ÷ 2 X (3 -1)
muliplication X
division ÷
subtraction -
addition
Simplify:
3[16 - (3 + 7) ÷ 5]
3
7.6
42
3.6
Simplify:
24 ÷ 4 ⋅ 2 + (32 - 1 + 6)
5
14
17
26
Simplify:
14 - 8 + 4 ⋅ 23
60
38
30
12
QUOTIENT
PRODUCT
DIFFERENCE
4 less than the sum of a number r and a number s
4 - r + s
4 - (r + s)
(r - s) - 4
(r + s) - 4
Which phrase describes this expression?
6y + 4
6 times the sum of y and 4
The product of 6 and 4 times y
4 more than the sum of 6 and y
The product of 6 and y plus 4
Select ALL the phrases that represent 4m
The product of 4 and m
The quotient of 4 and m
4 times m
4 divided by m
4 groups of a quantity m
The answer to an addition problem
product
quotient
sum
difference
In an algebraic expression, what is the word that describes the letter that stands for an unknown number?
term
coefficient
variable
product
Six more than triple a number.
b ÷ 2 - 4
Four less than the quotient of a number and two
A number divided by two and four
Four divided by two and a number
Two divided by a number minus four
14g + 10
Ten more than fourteen times a number
Ten plus a number plus fourteen
A number times fourteen and ten
Ten more than fourteen
100 - p
One hundred minus a number
A number and the sum of one hundred
One hundred less than a number
The product of a number and one hundred
5m + 4
Four more than the quotient of a number and five
Four plus a number and five
A number divided by five and four
Four more than the product of a number and five
If you see "half of" what will you do?
add
subtract
multiply
divide
If you see "decreased by" what will you do?
add
subtract
multiply
divide
If you see "diminished by" what will you do?
add
subtract
multiply
divide
If you see the term "combined" what will you do?
add
subtract
multiply
divide
If you see the term "fewer than" what will you do?
add
subtract
multiply
divide
If you see the phrase "twice the sum of" you will need to incorporate what 3 things?
addition, subtraction, multiplication
addition, parentheses, multiplication
addition, multiplication, division
If you see the phrase, "plus the difference of" what three things will you need to incorporate?
addition, multiplication, division
addition, parentheses, multiplication
addition, parentheses, subtraction
If you see the expression, "6 less than the product of 2 and x" what should you be reminded to do?
Switch the order of the expression: 6 is written last and 2x is written first.
Write it in the order it is stated: 6 is written first and 2x is written last
When you see the phrase "subtracted from" what should you be reminded to do?
switch the order of the phrase when writing the expression
write the expression in the same order it is stated
The product of 9 and the number n
9 + n
9 - n
9n
9/n
five more than twice a number x
5 - 2x
2x + 5
3 times a number decreased by 11
11 - 3x
3x - 11
Kaleigh earns $30 a day working part time at a supermarket. Write an algebraic expression to represent the amount of money she will earn in d days.
30d
30/d
Which of the following are basic rules used for solving algebraic equations?
Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign
Negative signs can be ignored
Always start on the left side, regardless of where the variable is
Always do the opposite operation
In the equation
x + 7 = 12
7 is being added to the variable, x.
How should you show your work to isolate the variable and solve the equation?
Subtract 7 from both sides. The solution is x = 5.
Add 7 to both sides.
The solution is x = 19.
Multiply both sides by 7 The solution is x = 84.
16 =11k
The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?
Divide both sides by 11
Multiply both sides by 11.
Add 11 to both sides.
Subtract 11 to both sides.
Solve for x in the following equation:
20.5 = x + 4
16.5
16.05
24.5
24.05
Solve for y in the following equation:
y ÷ 3 = 12
36
-36
4
-4
Solve for z in the following equation:
z - 33 = 147
z= 114
z = 177
z = 180
No Solution
Solve for h in the following equation:
0 = 4h
h = 4
g = 1
g = -4
g = 0
Which equations has w = 8 as the solution? (can be more than one equation)
8w= 64
16w = 240
8 - w = 16
48 ÷ w = 6
Which equation best describes the situation below?
5 less than a number is 15.
x - 5 = 15
5 - x = 15
15 - x = 5
Which equation best describes the situation below?
Two more than 4 times a number is -18.
4x + 2 = -18
2x + 4 = -18
18 = 4x +2
Which equation best describes the situation below?
Twice a number is 24.
2n = 24
2/n = 24
2 + n = 24
2 - n = 24
Solve for x in the following equation:
x + 7 = 12
x = 5
x = 19
x = 4
x = 84
Solve for p in the following equation:
4p = 16
p = 12
p = 64
p = 3
p = 4
Solve for x in the following equation:
x ÷ 6 = 42
x = 7
x = 252
x = 48
x = 36
Solve for y in the following equation:
y - 33 = 147
y = 114
y = 177
y = 180
Answer not Given
Solve for x in the following equation:
−4x = 9
13
36
-36
9−4
Solve for the variable (a) in the following equation:
32 = -8a
4
-4
40
24
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
v - 4 = 10
v + 4 = 10
10 - 4 = v
Answer not Given
What is the mathematical term for a number that has the numerator and denominator flipped?
Reapproval
Recipient
Reciprocity
Reciprocal
Solve for r in the following equation:
(Hint: think about using the reciprocal)
-6 = 32r
-4
-9
9
4
2(4x - 7)
8x + -14
8x-7
6x+7
8x+14
-(3v - 8) is the same as:
-1(3v + 8)
-1(-3v - 8)
-1(3v - 8)
1(3v - 8)
Distribute
10(x - 20)
10x + 20
10x + -200
10x + 30
10x - 20
Distribute
9(x - 5)
9x + -45
9x + 5
9x + 14
9x + 45
Simplify 5(2 - 7n)
52 - 7n
10 - 7n
10 + -35n
10 + 35n
6 (x + y + 7)
6x + 6y + 42
12xy + 42
6x + 6y + 7
6x6y + 42
6x (x - 9)
6x2 − 54
6x2 − 54x
6x − 54x
−48x
5a + 2b - 3a + 4
Simplify the expression: 2x + 4 + 7x - 2
15x
13
9x + 2
9 + 2x
9 (2x + 5x)
90x
18x + 45
18 + 45x
63x
5x + 3x - 9
7x - 9
17x
8x - 9
-x
5x + 3y + 5 + 4x + 3y + y + 8
9x + 7y + 13
6x + 2y + 2
25x + 2y + 3
5a + 2b - 3a + 4
Combine Like Terms:
3x + 5 + 2x - 7
5x + 2
5x - 2
5x + 12
1x - 2
Distribute and then Combine Like Terms:
2(5x + 6) + 7
10x + 12
10x + 7
10x + 19
5x + 19
Which of the following is equivalent to 8(5f - 7) + 3f ?
43f - 7
-13f
43f - 56
Distribute and then Combine Like Terms:
-3(4x + 2) + 5x
-12x - 6
-7x - 6
-12x + 6
-7x + 2
Distribute and then Combine Like Terms:
2(4x + 7) + 3x
8x + 14
8x + 7
11x + 7
11x + 14
