Math 8
Name: _________________ Blk: ____
Chapter 6 - Algebra Test
Review
Show all work!
1. Label the following parts of the algebraic expression. Constant, coefficient, variable,
and terms.
-2n + 6
2. Solve this equation.
3. Solve this equation.
4. Solve this equation. 4y + 8 = 36
5. Solve this equation.
6. Solve this equation.
7. One half of a litter of puppies were taken to the Pet Store. Two of the puppies were
adopted and at the end of the week there were 2 puppies left. How many puppies
were in the original litter?
8. Expand.
9. Expand.
10. Expand and solve this equation:
11. Expand and solve this equation:
12. The price of a video game was increased by $3.
Mrs. Wells bought 2 video games for her sons. The total cost before taxes was $40.
What was the original price of the video game?
Math 8
Name: _________________ Blk: ____
13. Complete this table of values for the relation:
equations.
x
1
2
3
. Show at least 2 sample
4
y
14. The equation of a linear relation is
. Which ordered pairs are NOT in the
relation? A (3, –1), B (7, –13), C (8, –16), D (9, –20). Show your work.
15. Make a table of values for the relations
and
using x values 1 to 7.
For what value of x will the relations have the same y-value? Show two sample
equations for each relation.
16. a) Create a table of values and graph both relations on the same coordinate axes.
Using x values from 0 to 6.
i)
ii)
b) Find the ordered pair on the graph that are in both relations.
Math 8
Name: _________________ Blk: ____
Ch 6 Test - Algebra
Answer Section
SHORT ANSWER
1. ANS:
7
PTS: 1
DIF: Moderate REF: 6.2 Solving Equations Using Algebra
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
2. ANS:
2
PTS: 1
DIF: Moderate REF: 6.2 Solving Equations Using Algebra
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
3. ANS:
54
PTS: 1
DIF: Moderate REF: 6.3 Solving Equations Involving Fractions
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
4. ANS:
56
PTS: 1
DIF: Moderate REF: 6.3 Solving Equations Involving Fractions
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
5. ANS:
4x + 28
PTS: 1
DIF: Easy
REF: 6.4 The Distributive Property
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
6. ANS:
PTS: 1
DIF: Moderate REF: 6.4 The Distributive Property
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
7. ANS:
5
PTS: 1
Property
DIF:
Moderate
REF: 6.5 Solving Equations Involving the Distributive
Math 8
Name: _________________ Blk: ____
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
8. ANS:
1
PTS: 1
DIF: Moderate REF: 6.5 Solving Equations Involving the Distributive
Property
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
9. ANS:
$20.00
PTS: 1
DIF: Difficult
REF: 6.5 Solving Equations Involving the Distributive
Property
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding | Problem-solving Skills
10. ANS:
x
1
2
3
4
y
–4
–3
–2
–1
PTS: 1
LOC: 8.PR1
Understanding
11. ANS:
DIF: Easy
REF: 6.6 Creating a Table of Values
TOP: Patterns and Relations (Patterns)
KEY: Conceptual
PTS: 1
DIF: Moderate REF: 6.3 Solving Equations Involving Fractions
LOC: 8.PR2
TOP: Patterns and Relations (Variables and Equations)
KEY: Conceptual Understanding
12. ANS:
D(9, –20) is not in the relation.
PTS: 1
DIF: Moderate REF: 6.6 Creating a Table of Values
LOC: 8.PR1
TOP: Patterns and Relations (Patterns)
KEY: Conceptual Understanding | Problem-solving Skills
PROBLEM
13. ANS:
A table of values for
is:
x
1
2
3
4
5
6
7
y
4
5
6
7
8
9
10
A table of values for
is:
x
1
2
3
4
5
6
7
y
–2
0
2
4
6
8
10
When x = 7, both relations have the same y-value of 10.
PTS: 1
DIF: Moderate REF: 6.6 Creating a Table of Values
LOC: 8.PR1
TOP: Patterns and Relations (Patterns)
KEY: Problem-solving Skills
14. ANS:
a) Graphs may vary. Sample:
y
10
8
ii)
i)
6
4
2
x
0
2
4
6
8
10
b) The ordered pair (3, 5) is in both relations.
PTS: 1
DIF: Difficult
REF: 6.7 Graphing Linear Relations
LOC: 8.PR1
TOP: Patterns and Relations (Patterns)
KEY: Communication | Problem-solving Skills