Font size
WorksheetsUnit 2: Final Exam Review
Total questions: 138
Worksheet time: 10hrs 40mins
How many terms are in this expression?
5x + 2y + 3
1
2
3
4
What is the coefficient of the expression below?
8 + 5x
8
0
5
-5
3x+4-2
5a + 2b - 3a
-4(2h + 3)
Is the following expression expanded correctly or incorrectly?:
10 (x - 5) = 10x - 50
No, this is wrong!
Yes, this is right!
Use the Distributive Property to write an equivalent linear expression: –9(x – 5)
–9x – 5
–9x + 5
–9x – 45
–9x + 45
Can you simplify 3x + 7?
Yes, you can add 3 and 7
Yes, you can add 1x and 7
No, you can't add them because they are not "like terms."
6(x+9)=
(a)
½(6w + 12)
3w + 6
2w + 6
3w + 8
2w + 4
In the expression 3p + 4, what is the word for the letter p?
term
coefficient
product
variable
In an algebraic expression, what is the word that describes the letter that stands for an unknown number?
term
coefficient
variable
product
Which expression is equivalent to y + p + y + 2p?
2y + 3p
5y
5p
3y + 2p
What are the like terms in the expression -7x + 8 + 9x
8
-7x and 9x
-7x and 8
9 and 9x
Combine like terms
5x + 9 +2x
16x
7x + 9
5x + 11x
Combine like terms
9s + 15 + 37q -6s
55sq
3s + 37q + 15
25s + 31sq
Combine like terms
x +27 - 19 + 2
x + 10
2x + 46
x + 46
t - 2 + 7t + 2
6t + 4
9t + 2t
8t
-5c-6c
(a)
12a-5a
(a)
Simplify the expression.
7x2+3x+5
9x2+4x+5
4x +9x2+5
9x2+3x+5
Simplify:
5a + 2b - 3a + 4
8a + 2b + 4
2a + 2b + 4
8ab
4ab + 4
Simplify:
n -10 + 9n - 3
-3
9n-3
n
10n -13
Which expression is equivalent to 7x + 3 + 5x + 2y
12x + 2y + 3
10x + 7y
17xy
12x + 5y
Which expression is equivalent to (−4)x+(−2)(−9) ?
−4x+18
−4x−18
4x−18
4x+18
Select ALL expressions that are equivalent to 4x+2x+5−x−3
5x+2
5x+8
8x−3x+2
8x−3x+8
Which expression is equivalent to −2(3x−5) ?
−6x+10
−6x−10
−6x−7
6x−10
x−7
Which expression is equivalent to 5(4a−3b) ?
20a+15
20a+15b
20a−15b
9a+2a
9a+8a
Select ALL expressions equivalent to 3x+2x+8−2x−5
3x+3
7x+13
5x−2x+3
5x−2x+13
8n - 2n + n =
7n
6n
(8 - 2) + n
16n - 2n + n
17y+4+12y= 4+12y+17y
6(v+5v) = 6v+30v
17y+4+12y= 4+12y+17y
6(v+5v) = 6v+30v
Commutative Property of addition means...
If the order of the terms changes, the sum stays the same.
If the order of the coefficients changes, the product stays the same.
If the order of the variables changes, the product stays the same.
If the order of the math changes, the quotient stays the same.
Associative Property of addition means...
When the associates change, the sum stays the same.
When the grouping of terms changes, the sum stays the same.
-3x + 4 - 8x + 2xy
-14w + 8 + 9w - 2
2 + (8 + 7) = (2 + 8) + 7 demonstrates which property?
Associative Property of Addition
Associative Property of Multiplication
Identity Property of Addition
Identity Property of Multiplication
7 + 6 = 6 +7 demonstrates which property?
Distributive Property
Identity Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication
5 (3 + 4) = 5 x 3 + 5 x 4 demonstrates which property?
Distributive Property
Commutative Property of Addition
Associative Property of Addition
Associative Property of Multiplication
5 x 2 = 2 x 5 demonstrates which property?
Commutative Property of Multiplication
Distributive Property
Identity Property of Addition
Identity Property of Multiplication
9 x (10 - 3) = (9 x 10) - (9 x 3) demonstrates which property?
Identity Property of Multiplication
Associative Property of Multiplication
Distributive Property
Associative Property of Addition
What are letters called in any given expression? Example: In the expression 5x + 4, what is x called?
Term
Constant
Variable
Coefficient
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?
12 + 14x = 50
12x + 14 = 50
50 - 14 - 12 = x
50x + 12 = 14
Write an equation for the following:
Twice a number plus 6 is -72
2 + 6x =- 72
2x + 6 = -72
2 + 6 = x
2x2 + 6 = 72
To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.
Addition
Subtraction
Subtraction
Addition
Multiplication
Division
Division
Multiplication
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?
12 + 14x = 50
12x + 14 = 50
50 - 14 - 12 = x
50x + 12 = 14
The goal of solving a one, two, or multi-step equations is to:
Find the constant
Find the coefficient
Find the value of the variable
Guess and check
What is the next step to solve this equation?
3x - 5 = 7
Add 5 to both sides of the equation
Add 3x to both sides of the equation
Subtract 5 from both sides of the equation
Subtract 7 from both sides of the equation
What is the next step to solve this equation?
n - 4 = -2
Add 4 to both sides of the equation
Add n to both sides of the equation
Subtract n from both sides of the equation
Subtract 4 from both sides of the equation
What is the next step to solve this equation?
-4x + 6 = 10
Add 6 to both sides of the equation
Add 10 to both sides of the equation
Add 4x to both sides of the equation
Subtract 6 from both sides of the equation
3k + 5 = 23
4x + 12 = 36
Which equation has x = 5 as the solution?
x + 15 = 10
2x = 5
2x = 10
x - 15 = 10
26 = 5a + 1
a= 5 4∕5
a= no solution
a= 0
a= 5
-3a + 8 = 14
a= -2
a= -7.5
a= 2
a= 6
6 - 3a = 21
a= 9
a= -9
a= -5
a= 5
x > 3
x ≤ ⅕
x ≥ 3
x ≤ ⅕
2k - 9≤ -19
-3x − 4 < 5
x > -3
x < -3
x < 3
x > 3
7k – 2 ≥ -9
6t + 4 ≤ -2
-3x ≥ 12
7n - 1 > 76
When graphing b<6 , would you use an open circle or a filled-in/closed dot?
open circle
filled-in/closed dot
When graphing d≥12 , would you use an open circle or a filled-in/closed dot?
open circle
filled-in/closed dot
x < -20
x > -20
x > 20
x < 20
Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?
22.50 - x > 32
22.50x > 32
22.50 + x > 32
22.50 +x < 32
11 > -3y + 2
-3 > y
-3 < y
3 > y
3 < y
A
B
C
D
A
B
C
D
Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?
22.50 - x > 32
22.50x > 32
22.50 + x > 32
22.50 +x < 32
4a means _________________
4 - a
4 + a
4 ⋅ a
4÷a
What operation will isolate the variable? 4a > 8
Division
Addition
Multiplication
Subtraction
10x means _____________
10 ⋅ x
10 - x
10 + x
10 ÷x
What operation will isolate the variable? 10x > 50
Addition
Subtraction
Multiplication
Division
Match each phrase with the correct symbol.
>
greater than
≥
greater than or equal to
≤
less than or equal to
<
less than
=
not equal to
When graphing inequalities:
Use an open circle for (a) .
Use a closed circle for (b) .
Match each statement with the correct graph.
y < 6
y > 6
y ≤ 6
y ≥ 6
Solve.
3n+3≥30
n≤9
n≥9
n≤11
n≥11
12 ≥ 15 - 6y
12 ≥ 15 - 6y
4(2a + 3) < 3(a - 1)
There are no more than 18 students on the hall.
s>18
s<18
s≤18
s≥18
k < 3?
-2 ≥ n?
r ≥ -6?
5x - 2(x - 4) = (a)
-6(x - 2x) = (b)
3x - 5 + 1 - 4x = (c)
The expressions above can be simplified. Drag and drop the simplified expressions into the boxes next to the expressions they are equivalent to.
A farmer owns a triangular field with a perimeter of 9a + 7b – 4. Which of the following could be side lengths of the field?
5a, 4a + 4b, and 3b – 4
6a, a + 3b, and 6b - 4
4a, 5a + 5b, and 2a + 4
3a, 6a + 4b, and 3b + 5
In order to solve the equation 12x = -3(x + 1/3z) for x, a student simplifies the equation as shown:
Step 1: 12x = -3x + -2(1/3z)
Step 2: 12x = -3x + -z
Step 3: 12x – 3x = -z
Step 4: 9x = -z
Step 5: z = -9x
The student missed a double negative 12x = -3x – (-z) in step 2.
The student should have only multiplied x by -3 in step 1.
The student subtracted 3x when he should have added 3x in step 3.
The student should have kept the z on the right side in step 5.
Dana claims that each of the expressions in the table are equivalent to 1.34x + 6. Determine if Dana’s claim is correct by selecting Equivalent or Not Equivalent for each expression.
x - 5 + 0.52x + 10
x + 0.34x + 2 + 4
2x + 1 - 0.66x + 5
Liya earns $12.00 per hour, plus an additional $25.00 per week for uniform cleaning expenses. Which equation can be used to determine the number of hours Maya must work to earn $241 per week and includes the correct answer?
A.12h = 241; Maya needs to work 23 hours.
B.12h = 241; Maya needs to work 22 hours.
C.12h + 25 = 241; Maya needs to work 21 hours.
D.12h + 25 = 241; Maya needs to work 18 hours.
A
B
C
D
Oliver wants to attend painting classes. Each class costs $10 plus a one-time registration fee of $12.50. Let the variable n represent the number of classes. Which equation represents the number of classes Oliver can attend for $105.45 and how many classes can Oliver attend?
A.22.50n = 105.45
B.10n + 12.50 = 105.45
C.10 + 12.50n = 105.45
D.10n + 22.50 = 105.45
A
B
C
D
Elise is 10 years old. When 3 is subtracted from Kaya’s age and 1/2 of the difference is taken, the result is equal to Elise’s age. What equation can be used to determine Kaya’s age and how old is Kaya?
A. 21k −3 = 10; 26 years old
B. 21k +3 = 10; 14 years old
C. 21(k + 3) = 10; 20 years old
D. 21(k−3) = 10; 23 years old
A
B
C
D
Patrick wishes to grow his baseball card collection to at least 1500 cards. He currently has 900 cards and knows that his favorite type of cards have 10 cards per package. Which inequality and solution represent the number of packages of cards that Patrick wishes to buy?
A. 10p + 900 > 1500; p > 60
B. 10p + 900 ≥ 1500; p ≥ 60
C. p + 900 ≥ 1500; p ≥ 600
D. 10p + 900 ≤ 1500; p ≤ 60
A
B
C
D
Ja’nay wants to call her cousin from her new cell phone. The first minute costs $0.15 and each additional minute costs $0.10. Ja’nay has $1.85 to spend on her call with her cousin. Which graph shows how many additional minutes they can talk on the phone?
A
B
C
D
Tanya has $65 and would like to buy a new pair of pants and a blouse. The pants cost $23, and the blouse costs b dollars. Unfortunately, Tanya does not have enough money to buy the outfit. Which inequality and solution could be used to represent this situation?
A.23b > 65, b > 2.82
B.65 – 23 > b, b > 42
C.65b > 23, b > 6523
D.23 + b > 65, b > 42
A
B
C
D
