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WorksheetsAlgebraic expressions and identities
Total questions: 50
Worksheet time: 50mins
Name
Class
Date
1.
A(n) ______________ is a statement that two mathematical expression are equal
a)
equation
b)
inverse operation
c)
solution of an equation
d)
expression
2.
Multiplying 5 and dividing 5 are ________________.
a)
equations
b)
inverse operations
c)
solutions of an equation
d)
expressions
3.
Write an equation for the word sentence:
The sum of a number and 4.5 is 8.2.
The sum of a number and 4.5 is 8.2.
a)
8.2=4.5n
b)
n+4.5=8.2
c)
8.2n=4.5
d)
n-4.5=8.2
4.
Write an equation for the word sentence:
Three times the cost is $24.
Three times the cost is $24.
a)
3c=24
b)
24c=3
c)
c+3=24
d)
c-3=24
5.
Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58; x = 82
x - 24 = 58; x = 82
a)
yes
b)
no
6.
Determine whether the given value of the variable is a solution of the equation.
⅓c = ⅜; c = ¾
⅓c = ⅜; c = ¾
a)
no
b)
yes
7.
Solve the equation:
a + 2.4 = 7.8
a + 2.4 = 7.8
a)
a = 10.2
b)
a = 5.4
c)
a = 17.76
d)
a = 3.25
8.
Solve the equation:
b - ¼ = 3 ½
b - ¼ = 3 ½
a)
b = 3 ¼
b)
b = 14
c)
b = ⅞
d)
b = 3 ¾
9.
Solve the equation:
3x = 27
3x = 27
a)
x = 9
b)
x = 24
c)
x = 81
d)
x = 30
10.
Solve the equation:
⅓s = ⅕
⅓s = ⅕
a)
s = ⅕
b)
s = ⅗
c)
s = 5/3
d)
s = 2/15
11.
Solve the equation:
t ÷ 4 = 16
t ÷ 4 = 16
a)
t = 4
b)
t = 12
c)
t = 20
d)
t = 64
12.
Solve the equation:
w ÷ 7 = 0.3
w ÷ 7 = 0.3
a)
w = 0.043
b)
w = 7.3
c)
w = 2.1
d)
w = .3/7
13.
A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Which equation could be used to find the number of grandstand seats s?
a)
s + 7,500 = 18,000
b)
s - 7,500 = 18,000
c)
s + 18,000 = 7,500
d)
s - 18,000 = 7,500
14.
Aaron wants to buy a bicycle that costs $128. So far, he has saved $56. The equation
a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. What is the solution of the equation?
a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. What is the solution of the equation?
a)
a=64
b)
a=72
c)
a=132
d)
a=184
15.
Ms. McNeil buys 2.4 gallons of gasoline.
The total cost is $7.56. The equation
2.4p = 7.56 can be used to find the price p in dollars of the one gallon of gasoline. What is the price of one gallon of gasoline?
The total cost is $7.56. The equation
2.4p = 7.56 can be used to find the price p in dollars of the one gallon of gasoline. What is the price of one gallon of gasoline?
a)
$1.81
b)
$2.40
c)
$3.15
d)
$5.16
16.
Crystal is picking blueberries. So far, she has filled ⅔ of her basket, and the blueberries weigh ¾ pound. The equation
⅔w=¾ can be used to estimate the weight w in pounds of the blueberries when the basket is full. About how much will the blueberries in Crystal's basket weigh when it is full?
⅔w=¾ can be used to estimate the weight w in pounds of the blueberries when the basket is full. About how much will the blueberries in Crystal's basket weigh when it is full?
a)
⅜ pound
b)
½ pound
c)
1 ⅛ pound
d)
2 ¼ pound
17.
After driving 25 miles, Kevin has traveled ⅔ of the distance from his house to his friend's house. Use the equation 25=⅔d to find the total distance d in miles to his friend's house.
a)
37.5 miles
b)
2/75 miles
c)
25 2/3 miles
d)
50 miles
18.
Alyssa's cat weighs 12 pounds, which is ⅜ 0f the weight of her dog. Use the equation
⅜d=12 to find the weight of Alyssa's dog.
⅜d=12 to find the weight of Alyssa's dog.
a)
5 ¾ pounds
b)
32 pounds
c)
96 pounds
d)
36 pounds
19.
Randall bought 16 baseball cards from Max, which is ⅖ of Max's collection. Use the equation 16 = ⅖c to find the number of cards that were in Max's collection.
a)
6 cards
b)
40 cards
c)
15 cards
d)
32 cards
20.
Three-fifths of the animals on a family farm are pigs, and there are 12 pigs on the farm. The equation ⅗a = 12 can be used to find the total number of animals a on the farm. How many animals are on the farm?
a)
8 animals
b)
20 animals
c)
60 animals
d)
180 animals
21.
Which solution is the answer to the equation x + 22= 27
a)
5
b)
6
c)
7
22.
Which solution is the answer to the equation 17 + n = 24
a)
6
b)
7
c)
8
23.
Solve the equation
63 + d = 105
63 + d = 105
a)
168
b)
42
c)
48
d)
147
24.
Solve the equation
h + 7.9 = 13
h + 7.9 = 13
a)
5.1
b)
20.9
c)
1.5
d)
7.4
25.
Solve the equation
r - 5 1/6 = 10
r - 5 1/6 = 10
a)
9 5/6
b)
4 5/6
c)
15 1/6
d)
14 1/6
26.
What is the solution of this equation?
18 + g = 38
18 + g = 38
a)
56
b)
30
c)
20
d)
12
27.
What is the solution of this equation?
p - 16 = 24
p - 16 = 24
a)
40
b)
34
c)
30
d)
8
28.
What is the solution of this equation?
d/75 = 25
d/75 = 25
a)
1/3
b)
3
c)
500
d)
1,875
29.
What is the solution of this equation?
13 = t + 2.1
13 = t + 2.1
a)
15.9
b)
15.1
c)
11.9
d)
10.9
30.
What is the solution of this equation?
y + 174 = 200
y + 174 = 200
a)
374
b)
126
c)
36
d)
26
31.
What is the solution of this equation?
y + 1/2 = 3/4
y + 1/2 = 3/4
a)
1 1/2
b)
1 1/4
c)
1/2
d)
1/4
32.
What is the solution of this equation?
13.2 = t - 4.4
13.2 = t - 4.4
a)
176
b)
88
c)
17.6
d)
8.8
33.
Seema runs 5 miles more per week than her sister Padma. If Seema runs 17 miles per week, which equation could be used to find the number of miles Padma runs each week?
a)
p + 17 = 5
b)
p - 17 = 5
c)
p + 5 = 17
d)
p - 5 = 17
34.
Hugh bought 2 bottles of water. If the total cost of the water was $4.50, which equation could be used to find the cost of each bottle of water?
a)
$4.50x = 2
b)
$4.50 - x = 2
c)
x/$4.50 = 2
d)
2x = $4.50
35.
One third of the tomatoes in a garden are ripe. If 6 tomatoes are ripe, which equation can be used to find the total number of tomatoes in the garden?
a)
t/3 = 6
b)
t - 6 = 3
c)
3t = 6
d)
6t = 3
36.
What is the solution of this equation?
18 = 2/5f
18 = 2/5f
a)
7 1/5
b)
7 1/2
c)
40
d)
45
37.
What is the solution of this equation?
27 = z/0.3
27 = z/0.3
a)
0.81
b)
8.1
c)
81
d)
90
38.
What is the solution of this equation?
5x = 15
5x = 15
a)
108
b)
72
c)
3
d)
2
39.
What is the solution of this equation?
2s = 34
2s = 34
a)
7
b)
17
c)
20
d)
60
40.
Mercedes is 132 centimeters tall. This is twice the height of her younger brother. How tall is her younger brother?
a)
27 cm
b)
66 cm
c)
71 cm
d)
140 cm
41.
What color are Ms. Dinneen's eyes?
a)
blue
b)
green
c)
brown
d)
hazel
42.
Which establishment is Ms. Dinneen's favorite place to get coffee?
a)
Starbucks
b)
Peets Coffee
c)
Philz
d)
Dunkin Donuts
43.
A(n) ______________ is a statement that two mathematical expression are equal
a)
equation
b)
inverse operation
c)
solution of an equation
d)
expression
44.
Multiplying 5 and dividing 5 are ________________.
a)
equations
b)
inverse operations
c)
solutions of an equation
d)
expressions
45.
Which of the following is a mathematical sentence that has an equal sign?
a)
Term
b)
Expression
c)
Coefficient
d)
Equation
46.
In an equation or expression, the number that is being multiplied by the variable is better known as what?
a)
Coefficient
b)
Term
c)
Variable
d)
Expression
47.
This contains an equal sign...
a)
Constant
b)
Variable
c)
Equation
d)
Expression
48.
Name the variable in the following number sentence:
2x -7 = 9
2x -7 = 9
a)
x
b)
2
c)
7
d)
2x-7
49.
Name the coefficient in the following number sentence:
9x - 15 = 27
9x - 15 = 27
a)
9
b)
15
c)
x
d)
9x-15
50.
What is the difference between an expression and an equation?
a)
Expression has more numbers
b)
An equation has an equal sign
c)
there are 2 variables instead of 1
d)
there are more terms in an equation
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