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.
2.
3.
z + (–3x + 3y)
5.
-2y + (z + 4y)
4.
4z2+ 2y3 - x
y + zx
6.
z + (-x) + y
Give TWO examples of: (each example must include a variable)
7. a. an expression
__________________
__________________
8. b. an inequality.
__________________
__________________
9. c. an equation.
__________________
__________________
Find the next three terms of the sequence and describe the sequence as arithmetic,
geometric, or neither.
10) 14, 15, 17, 20, ______, _______, ________
This sequence is ____________________.
11) 1, 4, 16, 64, _______, _______, _______,
This sequence is ____________________.
12) –20, –15, –10, –5, ______, _______, ______
This sequence is ____________________.
If z represents a number in the sequence, describe the relationship between two
consecutive terms in the sequence. (Example: The pattern is “z + 2”)
13) –4, –10, –16, –22, …
The pattern is _____________________.
14) –3, –6, –12, –24,.…
The pattern is _____________________.
15)
The pattern is _____________________.
56, 28, 14, 7, …
Translate each algebraic expression or equation into a verbal phrase.
16) 12h – 3
___________________________________________________
17)
= 28
___________________________________________________
18)
3(n – 9)
____________________________________________________
19)
7 + 5m = 7
____________________________________________________
Use the word bank to fill in the spaces below.
Coefficient
Difference
Sum
Constant
Expression
Product
Equation
Inequality
Variable
Quotient
20) A ________________ is a mathematical sentence that contains an equal sign.
22) The following: 5v + 6t < 4 is an example of a(n) ____________________________.
23) A ________________________ is the numerical factor attached to a variable.
24) The 7 in the following 4h + y + 7 is an example of a(n) _________________________.
25) The answer to an addition problem is called the ______________________________.
26) What is the answer to a division problem called? _____________________________.
27) In the following: 2t + 3k = 8 the k is the _____________________________________.
28) What is the answer to a multiplication problem called? _______________________.
29) The following: g + 5b – 4 is an example of a(n) __________________________
30) The answer to a subtraction problem is called the _____________________________.
Translate the following verbal phrase into an algebraic expression or equation.
31)
12 less than the quotient of a number and eight.
32)
The product of a number „z‟ and six is twenty-four.
______________________________________________________________________________
33) Seven less than the product of a number „p‟ and nine is eighty-one.
_________________________________________________________________________
34) Double the sum of a number and three.
_________________________________________________________________________
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) 2[43(3 + 4)]
40) 6[(12 + 6) ÷ 3]
43)
41) (4 + 8)2 – 9
44)
6
2(5 - 4) - 1