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WorksheetsUnit 6- Equations & Expressions
Total questions: 65
Worksheet time: 3hrs 46mins
Select all the equations where x=3 is a solution. (3 total)
x - 3 = 0
1 + x = 2
9 - x = 3
6 = 2x
x2 = 9
Which expression is equivalent to 20c - 8d
2(10c + 4d)
4(5c - 8d)
4(5c - 2d)
c(20 - 8d)
A symbol, often a letter, representing a quantity in an expression or mathematical equation.
reciprocal
expression
variable
coefficient
The constant a variable is multiplied by in an equation.
variable
numerator
coefficient
denominator
A number that can be used in place of the variable to make the equation true.
solution to an equation
coefficient
mark
graph
Identify the variable in the equation:
2x + 17 = 23
2
x
17
23
Identify the coefficient in the equation:
2x + 17 = 23
2
x
17
23
Write the phrase as an algebraic expression:
5 less than the product of 6 and s
5 - 6s
6s - 5
5 + 6 - s
6 - s -5
Write the phrase as an algebraic expression:
2 times the sum of h and 5
2h + 5
(2 x h) + 5
2 x h + 5
2(h + 5)
Write the phrase as an algebraic expression:
half of c
c ÷ 2
½ ÷ c
c ÷ ½
c + ½
Write the phrase as an algebraic expression:
7 less than triple m
7 - 3m
7 - m3
3m - 7
m3 - 7
Which expression shows the number of miles traveled in h hours?
480h
480/h
480 + h
480 - h
Solve the equation:
y - 33 = 147
y = 114
y = 177
y = 180
y = 190
20.5 = x + 4
When solving the equation 3x = 27, what should you do to both sides to isolate the variable?
Add 3
Subtract 3
Multiply by 3
Divide by 3.
Which equation has w = 8 as the solution?
16 - w = 9
16w = 240
8w = 64
4 + w = 10
15 = m - 5
Write an equation to match the word problem:
Saucy is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need? Let x represent the number of additional cups of sugar that Saucy needs.
7 + 2 = x
x = 2 + 7
2(7) = x
2 + x = 7
Write an equation to match the word problem:
Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112? Let h represent the number of hours worked.
14h = 112
14 / h = 112
h + 14 = 112
h - 14 = 112
Write an equation to match the word problem:
After paying $5.12 for a salad, Norachai has $27.10 left. How much money did he have before buying the salad? Let x represent the amount of money Norachai had before buying the salad.
27.10/5.12 = x
27.10 - 5.12 = x
x - 5.12 = 27.10
5.12 + x = 27.10
Write an equation to match the word problem:
At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill? Let x represent the total price of the bill.
4x = 13
x/3 = 13
3x = 13
x/4 = 13
What is the simplified version of the expression?
12x - 7(2x + 9) + 4(x - 5)
12x - 14x - 63 + 4x - 20
2x - 83
20x + 83
-2x - 83
Simplify the expression: 4x3 + 2(3x3 - 2x)
6x3
4x3 + 6x3 - 4x
6x3
10x3 - 4x
Simplify the expression: 4x3 + 2(3x3 - 2x)
6x3
4x3 + 6x3 - 4x
6x3
10x3 - 4x
A hat costs x dollars and you can use the expression x - 0.20x to find the cost of the hat with a 20% discount. Which of the following would also get you the discounted price?
1.2x
3x
0.8x
0.2x
Write a simplified expression to represent the perimeter of the shape.
20x - 8
10x - 4
25x - 4
5x + 5x - 4
2x − 9 = 3 Solve for x.
15
12
24
-3
52 + 4x=10 Solve for x.
12
13
10
24
Translate the following equation: Twice a number and the sum of 5 is 17.
2x + 5 = 17
2x - 5 = 17
2(x + 5) = 17
x + 5(2) = 17
Which mathematical property is shown below? a(b+c) = ab + ac
Commutative
Associative
Identity
Distributive
Which mathematical property is show below? (a + b) + c = a + (b + c)
Associative
Commutative
Identity
Distributive
x + 5 ≤ 13
Match the graph with its inequality.
a < 11
a > 11
a ≤ 11
a≥ 11
6n + 2(3 - 5n)
Choose the first step in solving the following equation.
-3y - 12 = 14
add 3 from both sides
add 12 to both sides
subtract 12 from both sides
subtract 3 from both sides
-3x + 5 = -13
x = -5
x = 2
x = -6
x = 6
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
7x+6=331
13x=331
6x+7=331
331+7=6x
(6x + 3y + 4) + (x + y – 5)
5x + 2y + 9
7x + 2y + 9
7x + 4y + 9
7x + 4y -1
Which of these can be written as an equation?
Five times 6.3 minus p
Six is more than twice n
Half the sum of twelve and r
Six divided by n is 3
Which situation could represent the equation 12 + x = 15?
There are twelve insects in a science lab. There are also 15 mice in the science lab. What is x, the total number of mice and insects in the science lab?
Two students earned a total of 15 tickets at Mr. Gattis. One student earned 12 tickets. What is x, the total number of tickets both students earned at Mr. Gattis?
Pete ate a total of 15 jolly ranchers this week. On Monday, he at 12 of the jolly ranchers. What is x, the total number of jolly ranchers he ate on Monday and the rest of the week?
Jennifer earned a total of $15 baby sitting last week. She earned $12 on Saturday and the rest she earned on Sunday. What is x, the amount she earned on Sunday?
What is the difference between an expression and an equation
Expressions have an equal sign and equations do not
Equations have an equal sign and expressions do not
What is the simplified form of this expression
3x+4+5x+3
15x
8x+7
7x+8
Choose the equivalent expression.
6(4c + 5)
24c + 5
24c + 30
4c + 5
4c + 30
Simplify by distributing and combining like terms:
7a - 3(2a - 4)
a - 12
a + 12
13a - 12
13a + 12
4m - 7 = -19
11 - 3x = 44
Glen wants to treat some friends to lunch. He knows lunch costs about $7 per person, p. He is also bringing a cake which cost him $14. In all, he wants to spend no more than $40 on this lunch. Which expression represents this situation?
14p - 7 ≥ 40
14p + 7 ≤ 40
14 - 7p ≥ 40
14 + 7p ≤ 40
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
X < 5
X > 5
X ≥ 5
X ≤ 5
11 - 3x = 44
Javon wants to save $102. He puts $15 in the bank each week. How many weeks will it take him to save $102?
6
7
8
9
