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Long Test Algebraic Equations

This document is a quiz focused on bar models, properties of equality, and solving algebraic equations. It includes sections for solving equations, multiple-choice questions about properties of equality, and true/false statements. The quiz is designed for students to demonstrate their understanding of algebraic concepts.

Uploaded by

Raxie Yaco
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25 views2 pages

Long Test Algebraic Equations

This document is a quiz focused on bar models, properties of equality, and solving algebraic equations. It includes sections for solving equations, multiple-choice questions about properties of equality, and true/false statements. The quiz is designed for students to demonstrate their understanding of algebraic concepts.

Uploaded by

Raxie Yaco
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Name : ________________________________________________ Score: _____________

Grade & Section : ________________________________________ Date : _____________


Quiz #2: Bar Models, Properties of Equality and Solving Algebraic Equations.

I. Solve the following simple equations using bar models and properties of equality.
1. x + 21 = 26 2. 2x + 12 = 16

3. 2x + 5 = x + 10 4. 3x – 4 = 2x + 12

5. 5x – 6 = 3x + 10

II. Instructions: Choose the best answer for each question.


A. Multiple Choice
______ 1. Which property of equality states that if a=ba = ba=b, then b=ab = ab=a?
a) Reflexive Property c) Transitive Property
b) Symmetric Property d) Substitution Property
______ 2. If x=5x = 5x=5, then x+3=5+3x + 3 = 5 + 3x+3=5+3. Which property is
applied?
a) Associative Property c) Addition Property of Equality
b) Commutative Property d) Distributive Property
______ 3. The property that states a=aa = aa=a for any real number aaa is called
the:
a) Reflexive Property c) Transitive Property
b) Symmetric Property d) Substitution Property
______ 4. If x=yx = yx=y and y=zy = zy=z, then x=zx = zx=z. Which property
justifies this
statement?
a) Reflexive Property c) Transitive Property
b) Symmetric Property d) Addition Property of Equality
______ 5. If a=ba = ba=b, then a−c=b−ca - c = b - ca−c=b−c. This demonstrates
the:
a) Multiplication Property of Equality c) Subtraction Property of
Equality
b) Addition Property of Equality d) Reflexive Property

B. True or False. Encircle your answers.


6. True or False: The Reflexive Property states that if a=ba = ba=b, then b=ab =
ab=a.
7. True or False: The Multiplication Property of Equality states that if a=ba =
ba=b, then ac=bcac = bcac=bc.
8. True or False: The Division Property of Equality states that if a=ba = ba=b,
then ac=bc\frac{a}{c} = \frac{b}{c}ca=cb, provided c≠0c \neq 0c=0.
9. True or False: The Substitution Property states that if a=ba = ba=b, then aaa
can be replaced with bbb in any equation or expression.
10.True or False: The Symmetric Property states that if a=ba = ba=b and b=cb =
cb=c, then a=ca = ca=c.
III. Solve and check the following algebraic equations.
A. Addition/Subtraction
1. x + 7 = 14 2. x + 4 = - 5

3. 3x = 2x + 4 4. 5 + 10x = 9x + 11

B. Multiplication/Division
1. 6x = 42 2. 10x = -30

x −5 x
3. =6 4. =10
8 6

C. All operations
8y x
1. – 4 + =12 2. 8 + +2=10
−3 13

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