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WorksheetsAlgebraic
Total questions: 30
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
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
2.
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
3.
Solve the equation:
3x = 27
3x = 27
a)
x = 9
b)
x = 24
c)
x = 81
d)
x = 30
4.
Solve the equation:
t ÷ 4 = 16
t ÷ 4 = 16
a)
t = 4
b)
t = 12
c)
t = 20
d)
t = 64
5.
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
6.
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
7.
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
8.
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
9.
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
10.
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
11.
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
12.
You traveled 52 miles. Then, your avg rate is 12 mph. What algebraic exp. models the distance?
a)
52+12/h
b)
12/h-52
c)
12h+52
d)
12-52
13.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
14.
Evaluate expression: -5a -b for a= -6 and b= 3
a)
33
b)
30
c)
27
d)
24
15.
Identify the property shown.
a)
Commutative Property of Multiplication
b)
Commutative Property of Addition
c)
Associative Property of Multiplication
d)
Multiplication Property of 5
16.
Identify the property shown.
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Distributive Property
d)
Multiplication Property of 1
17.
Identify the property shown.
a)
Distributive Property
b)
Commutative Property of Multiplication
c)
Associative Property of Multiplication
d)
Subtraction Property of Grouping
18.
Simplify the expression with the distributive property
6(x + 3)
6(x + 3)
a)
6x + 3
b)
6x + 18
c)
x + 3
d)
9x
19.
The expression 7h + 1.50d can be used to find the total earnings after h hours and d deliveries have been made. How much will Sally make after working 10 hours and making 3 deliveries?
a)
$74.50
b)
$36
20.
You order CDs for $14.25 each and the website charges $4.50 for each shipment. The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for ordering 4 CDs.
a)
$61.50
b)
$22.75
21.
Perry has 17 fewer baseball cards than Pete.
If b represents the number of cards Pete has, write an expression for how many baseball cards Perry has.
If b represents the number of cards Pete has, write an expression for how many baseball cards Perry has.
a)
b + 17
b)
b -17
c)
17 - b
d)
17 + b
22.
Mary baked some cookies on Saturday. On Sunday she baked twice as many cookies as the day before. If c represents the number of cookies she made on Saturday, write an expression for the number of cookies she made on Sunday.
a)
c + 2
b)
c - 2
c)
c / 2
d)
2c
23.
Students brought in 300 canned goods for the food drive on Monday. On Tuesday students brought in x more than the day before. Write an expression for how many canned goods students brought on Tuesday.
a)
300 + x
b)
300 - x
c)
300x
d)
x - 300
24.
Sarah has some money in the bank, then she earned $12 more. Define a variable and write an expression for how much money she has in total.
a)
b = bank
b + 12
b + 12
b)
m = money
m + 12
m + 12
c)
m= amount of money she has in the bank
m + 12
m + 12
d)
m = amount of money she earned
m + 12
m + 12
25.
Translate:
42 less than a number x
42 less than a number x
a)
42 - x
b)
x - 42
26.
Translate:
12 fewer pencils than the number of pencils, p, in my desk
12 fewer pencils than the number of pencils, p, in my desk
a)
12 - p
b)
p - 12
27.
Translate:
4 more than three times the amount of c candy bars
4 more than three times the amount of c candy bars
a)
3c + 4
b)
3c - 4
c)
4c + 3
d)
4c - 3
28.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
29.
Simplify the following expression:
-9(14p - 8) - 4p
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
30.
eight plus triple the number of shirts
Let s = number of shirts
Let s = number of shirts
a)
8 + 3s
b)
8 + s
c)
3s - 8
d)
s(8 + 3)
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