Download UNIT 3 TEST STUDY GUIDE Name

UNIT 3 TEST STUDY GUIDE
Name: _____________________________
Solve the following; substitute each variable with the value given.
Evaluate each expression if x = 4, y = 7, and z = –2.
1.
𝑥𝑥𝑥𝑥
𝑧𝑧
3.
z + (–3x + 3y)
5.
-2y + (z + 4y)
2.
4.
4z2+ 2y3 – x
y + zx
6.
z + (–x) + y
Give TWO examples of: (each example must include a variable)
7. a. an expression
b. an inequality.
c. an equation.
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Find the next three terms of the sequence and describe the sequence as arithmetic, geometric, or neither.
8) 14, 15, 17, 20, ______, _______, ________
This sequence is ____________________.
9) 1, 4, 16, 64, _______, _______, _______,
This sequence is ____________________.
10) –20, –15, –10, –5, ______, _______, ______
This sequence is ____________________.
If n represents a number in the sequence, describe the relationship between two consecutive terms in
the sequence. (Example: The pattern is “n + 2”)
11) –4, –10, –16, –22, …
The pattern is _____________________.
12) –3, –6, –12, –24,.…
The pattern is _____________________.
13) 56, 28, 14, 7, …
The pattern is _____________________.
Translate each algebraic expression or equation into a verbal phrase.
14) 12h – 3
15)
𝒙𝒙
𝟕𝟕
= 28
___________________________________________________
___________________________________________________
16) 3(n – 9)
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17) 7 + 5m = 7
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18) Use the Distributive Property to rewrite each expression. Circle your answer.
a. 7(y + 9)
b. –5(h + 1)
c. (n + 8)6
d. –4(p – 8)
a. 3(5 + m)
d. –6(t – 3)
b. –2(j + k)
c. (d + 8)2
Use the word bank to fill in the spaces below.
Coefficient
Difference
Sum
Constant
Product
Equation
Inequality
Variable
Quotient
Expression
19) A ________________ is a mathematical sentence that contains an equal sign.
20) The following: 5v + 6t < 4 is an example of a(n) ____________________________.
21) The answer to a subtraction problem is called the _____________________________.
22) A ________________________ is the numerical factor attached to a variable.
23) The 7 in the following 4h + y + 7 is an example of a(n) _________________________.
24) The answer to an addition problem is called the ______________________________.
25) What is the answer to a division problem called? _____________________________.
26) In the following: 2t + 3k = 8 the k is the _____________________________________.
27) What is the answer to a multiplication problem called? _______________________.
28) The following: g + 5b – 4 is an example of a(n) __________________________
Translate the following verbal phrase into an algebraic expression or equation.
29)
12 less than the quotient of a number and eight. _____________________________
30)
The product of a number ‘z’ and six is twenty-four. ___________________________
31) Seven less than the product of a number ‘p’ and nine is eighty-one._______________
32) Double the sum of a number and three. ______________________________________
33) Find the square of each number.
a) 3
b) –8
c) 4
d) –5
e) 1.6
f)
g) –4
h) 1.5
j)
1
2
2
5
Translate each algebraic expression or equation into a verbal phrase.
35) 6 + 4k = 36
_______________________________________________
36) 2(z – 7) _____________________________________________________
37) 15n + 3 _____________________________________________________
38)
x
= 30 _____________________________________________________
3
Solve.
39)
42)
(22 + 8 ∙2)
40) 6[(12 + 6) ÷ 3]
20÷2
2[43(3
+ 4)]
43)
(5 ∙ 4)32
2(15 )
41) (4 + 8)2 – 9
44)
6 ÷ 2(5 - 4) - 1
Perfect Squares (must know: MEMORIZE):
1² =
6² =
11² =
16² =
2² =
7² =
12² =
17² =
3² =
8² =
13² =
18² =
4² =
9² =
14² =
19² =
5² =
10² =
15² =
20² =