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WorksheetsExpressions & Equations
Total questions: 70
Worksheet time: 3hrs 37mins
Name
Class
Date
1.
A mathematical statement that includes at least one variable, a number, and an operation symbol.
a)
Variable
b)
Algebraic Expression
c)
Constant
d)
Coefficient
2.
A mathematical statement that says two things are equal.
a)
Algebraic Expression
b)
Algebraic Equation
c)
Constant
d)
Coefficient
3.
A letter used to represent an unknown number; it varies.
a)
constant
b)
coefficient
c)
variable
d)
term
4.
A quantity that stands alone; value does not change.
a)
sum
b)
constant
c)
coefficient
d)
quotient
5.
An algebraic equation is....
a)
A math statement that does not have an equal sign.
b)
A math statement with an equal sign.
c)
A letter or symbol that represents a number.
d)
A number that can evenly go into another number without a remainder.
6.
An algebraic expression is .......
a)
A math statement with an equal sign.
b)
A math statement without an equal sign.
c)
A letter or symbol that represents a number.
d)
A number that goes evenly into another number without a remainder.
7.
An equation can be two expressions that equal one another.
a)
True
b)
False
8.
A number multiplied by a variable.
a)
Constant
b)
Coefficient
c)
Variable
d)
Equation
9.
3x + 4
a)
Expression
b)
Equation
10.
3x + 4 = 13
a)
Expression
b)
Equation
11.
x + 6
a)
Expression
b)
Equation
12.
x + 6 = (- 4)
a)
Expression
b)
Equation
13.
Which of these can be written as an equation?
a)
Product of 7 and n is less than 11
b)
5 times x minus 9
c)
Half of 8 plus b is 35
d)
2 times w plus 14
14.
Which of these can be written as an equation?
a)
3.2 times w plus 18
b)
Half of 26 minus b is 81
c)
Product of 12 and n is more than 21
d)
6 times x minus 2.5
15.
Which of these can be written as an equation?
a)
Sum of a number and 7
b)
Sum of a number and 13 is 25
16.
Which of these can be written as an equation?
a)
Product of 42 and a number is 5.8
b)
Half of a number plus 13 is less than 2
17.
Identify the variables in the following expression: 4x + 2y - 6
a)
4, 2, -6
b)
-4 and x
c)
X and Y
d)
-6
18.
take 10 away from s
a)
10 - s
b)
s + 10
c)
s - 10
d)
s/10
19.
Mike is 6 years younger than Iris. What expression can be used to find Mike’s age?
a)
6 + a
b)
6 - a
c)
a - 6
d)
6a
20.
Pat worked 4 hours on Monday and 3 hours on Friday.
If he earned the same hourly rate each day, which expression best represents the situation?
If he earned the same hourly rate each day, which expression best represents the situation?
a)
7x
b)
4x + 3x
c)
4 + 3x
d)
3 + 4
21.
Which one is the constant term?
6f2 - 9
6f2 - 9
a)
6
b)
f
c)
2
d)
-9
22.
What is the coefficient in the expression?
-12 + 6m
-12 + 6m
a)
-12
b)
6
c)
m
23.
How many terms are in the expression below:
5a + 7a - 8
5a + 7a - 8
a)
one
b)
two
c)
three
d)
five
24.
Six more than some number equals 52
a)
6 + x = 52
b)
6 + 52 = x
c)
6x = 52
d)
6x + 52 =
25.
Rachel swims 3 laps each minute. Write an equation to show the relationship between number of laps (n) and time (t).
a)
3n = t
b)
3 + n = t
c)
3t = n
d)
3 + t = n
26.
If d = 70t represents the distance, d, traveled over time, t, how far did you travel in 6.5 hours?
Which expression fits the situation?
Which expression fits the situation?
a)
d = 70(6.5)
b)
d = 70 + 6.5
c)
6.5d = 70
d)
d = 365 miles
27.
Admission to a circus is $16 for adults and $8 for children. Choose the expression to find the cost of 3 adult tickets and some number of children's tickets.
a)
48 + 8x
b)
16x + 8y
c)
16x + 64
d)
16x + 8x
28.
It costs $25 to rent a car each day and $0.95 per mile.
Which expression represents the cost of the rental for one day?
Which expression represents the cost of the rental for one day?
a)
.95x + 25
b)
.95 + x + 25
c)
.95 + 25x
29.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
30.
I went to the mall with $75 and bought a pair of shoes and a few candy bars for $1.25 each. How much did I spend?
Write an expression for the situation.
Write an expression for the situation.
a)
75 - x - 1.25y
b)
75 - x - 1.25
c)
75 + x + 1.25y
31.
Solve the equation
9 + d = 16
9 + d = 16
a)
5
b)
7
c)
8
d)
6
32.
Solve the equation
n + 8 = 41
n + 8 = 41
a)
12
b)
9
c)
4
d)
33
33.
Solve the equation
23 - c = 21
23 - c = 21
a)
9
b)
4
c)
2
d)
44
34.
Find the missing number.
What does a equal to ?
a - 4 = 2
What does a equal to ?
a - 4 = 2
a)
a = 5
b)
a = 6
c)
a = 12
d)
a = 0
35.
Solve the equation
Moore has v small chairs and 22 big chairs. Choose the expression that shows how many chairs Moore has.
Moore has v small chairs and 22 big chairs. Choose the expression that shows how many chairs Moore has.
a)
v +5
b)
v + 9
c)
v + 21
d)
v + 22
36.
Solve -2w + 10 = 56
a)
23
b)
-23
c)
33
d)
-33
37.
Solve -3 + 2x = -1
a)
x = 3
b)
x = 2
c)
x = 1
d)
x = -2
38.
Solve 7 - x = -5
a)
x = 2
b)
x = -2
c)
x = 12
d)
x = -12
39.
Solve 9 - 5t = 24
a)
t = -3
b)
t = 3
c)
t = -6.6
d)
t = 12
40.
Solve 9 - 3x = 10
a)
x = 2/3
b)
x = 1/3
c)
x = -1/3
d)
x = -6 1/3
41.
a)
t = 20
b)
t = -20
c)
t = -40
d)
t = 40
42.
Solve
-7+ 2x = -23
-7+ 2x = -23
a)
x = -8
b)
x = 8
c)
x = 13
d)
x = -13
43.
Solve 2y - 4 = -10
a)
y = -7
b)
y = 3
c)
y = -3
d)
y = 7
44.
Solve 8 - 2x = 30
a)
x = -11
b)
x = 11
c)
x = -12
d)
x = 12
45.
Solve 8 - 2x = -12
a)
x = 10
b)
x = 2
c)
x = -2
d)
x = -10
46.
Solve 12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
47.
Is 5 a solution for 3x + 4 = 19
a)
yes
b)
no
48.
Solve for k:
3k + 5 = 23
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
49.
Solve -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
50.
The steps in solving 5b - 6 = 24 are:
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
51.
Solve 3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
52.
Solve for x:
-30 - 5x = 120
-30 - 5x = 120
a)
x = 18
b)
x = -18
c)
x = 30
d)
x = -30
53.
Ronnie needs 101 cupcakes for a birthday party. He already has 21 chocolate cupcakes and 33 vanilla cupcakes. How many more cupcakes should Ronnie buy?
a)
80
b)
113
c)
47
d)
68
54.
Janet's mother gave her $76 to go to the store. Janet bought 2 loaves of bread and 4 cartons of orange juice. Each loaf of bread cost $5 and each carton of orange juice cost $3. How much money does Janet have left?
a)
68
b)
54
c)
84
d)
20
55.
Belle bought 5 packs of white T-shirts and 3 packs of blue T-shirts for her basketball team. The white T-shirts come in packs of 2, and the blue T-shirts come in packs of 6. How many T-shirts did Belle buy in all?
a)
28
b)
16
c)
18
d)
10
56.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
57.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
58.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
59.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
60.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
61.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
62.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
63.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
64.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
65.
Solve for x.
a)
55
b)
60
c)
15
d)
35
66.
What is the solution?
a)
x = 4
b)
x = 6
c)
x = 96
d)
x = 144
67.
Solve the equation:
4 - 2(x - 3) = 24
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
68.
10 + 2x = 16
a)
2
b)
3
c)
4
69.
What is the first step in solving the equation 2a - 4(a - 5) = 10
a)
Add 4 to both sides
b)
Add the 2a and a
c)
Distribute 4 to a and -5
d)
Distribute -4 to a and -5
70.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/3
d)
x = 10/3
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