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Algebra: Test Review covering Chapter 1-2
SHOW ALL WORK
Variables and Expression
Explain what is the difference between an equation and an expression
Identify the variable, coefficient, and constant from this expression
5x+1
Order of Operation
1) 16 − 8 ÷ 22 + 14
4) [(63 − 9) ÷ 23]4
2) 4 ÷ 2 + 5(10 − 6)
3) [8 × 2 − 42 ] + 7 × 4
5) 3[4 − 8 + 42 (2 + 5)]
Translate Expressions
6) 18 𝑑𝑒𝑐𝑟𝑒𝑎𝑠𝑒𝑑 𝑏𝑦 3 𝑡𝑖𝑚𝑒𝑠 𝑑
10)
the quotient of 45 and r
7) 𝑑 𝑑𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 10
11) 6 less than x
8) 12 𝑡𝑖𝑚𝑒𝑠 𝑥
9) 𝑘 𝑠𝑞𝑢𝑎𝑟𝑒𝑑 𝑚𝑖𝑛𝑢𝑠 30
Substitute Property of Equality
Evaluate each expression if a=4, b=3, c=10
12)𝑎 + 𝑏 + 𝑐 − 𝑎 =
16) b(a + c) =
13) 𝑎 + 5𝑏 =
14) 4𝑏 + 3𝑎 + 16 =
17) 7a + 2c =
15)𝑎2 + 3𝑏 + 𝑐 =
18) 4a + 20 =
Properties of Numbers
Write the letter that matches the Property
-----
Associative Property of Addition
A
10+0=10
------
Commutative Property of Addition
B
7x (6+5) =42x+35x=77x
------
Distribute Property
C
4+6=6+4
-------
Inverse Property of Multiplication
D (11+5) +4= (4+5) +11
-------
Identity Property of Addition
E
2
1
1
×2=1
𝐼𝑓 𝑛 = 11 𝑡ℎ𝑒𝑛 4𝑛 = 4 × 11
-------- Reflexive Property
A
--------- Symmetric Property
B
--------- Transitive Property
C
If 8=2+6 then 2 +6=8
---------
D
If 6+9=3+12 and 3+12=15 then 6+9=15
Substitution Property
4+7=7+4
Distribute Property
19) 8(4𝑤 2 − 5) =
20)(3 + 4)4𝑏 =
23) (2+4s)17=
Order Pair and Relations
Which numbers are my Domain?
X
Y
1
4
4
8
7
12
10
16
Which numbers are my Range?
(1,6), (2,12), (3,18), (4,24)
21)18𝑣 + 35𝑑 =
22) 13𝑟 + 5𝑟 =
Give me the order pairs for both examples
Label the coordinate Plane
X axis
Y axis
Coordinate Plane
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
Origin
Kevin and his pen pal Charlotte are both creating maps of their neighborhoods to show each other what it
looks like where they live. Kevin has decided to name the most important things on his map. He has
decided to include his house, his school, the skate park and the library. Since Kevin lives close to each of
these things, he is sure that he can draw them on a map. Kevin has decided to use a coordinate grid to
show each location. He wants to send Charlotte a key that will match each location with its accurate
coordinates.
Give me the order pair for each of Kevin’s Locations Home, Library, School, and Skate Park
Complete the table
X
3
6
9
12
Y=6x
Y
Writing Equations
Three times r less than 15 equals 6
Half of j minus 5 is the sum of k and 13
Three fourths of w plus 5 is one half of w increased by nine
Four times the sum of 14 and c is squared
Solving Equations
24) 𝑑 − 4 = 45
28) 3𝑥 + 10 = 46
25) 27 + 𝑘 = 30
26)
29) 5𝑥 − 10 = 30
1
𝑥=6
2
27)
30) 7(𝑥 + 2) = 28
Proportion
31)
2 𝑥
=
4 4
32)
6 6
=
7 𝑥
33)
1
3
=
2 𝑥
𝑐
9
34) = −
4
8
𝑥
= −11
9
Solving Multi Step Equations
35)
39)
𝑥−5
7
=8
36)
𝑘
+ 4 = −16
3
𝑐+1
−3
40) 1 +
𝑎
= −21
37) 11 + 2 = −3
38)3𝑚 + 4 = −11
𝑟
=4
9
𝑺𝒐𝒍ving Equations with the variable on Each side
41) 7𝑐 + 12 = −4𝑐 + 78
45) 13𝑥 + 2 = 4𝑥 + 38
42) 9𝑥 − 4 = 2𝑥 + 3
43)
𝑏−4 𝑏
=
6
2
46) 5(𝑔 + 8) − 7 = 103
Absolute Value
47) |6|=
51) -|9| ×|6|=
48 |-4|=
52) |f+5|=17
49) -|-2|=
53)
|3n-4|=-1
50) |7|+|6|=
44) 6(𝑥 + 5) = 66
Determine if the graph is a function