Algebra Rocks!

See you on Monday! Have a nice weekend!

For today, please work on this review packet for
next week’s exam on Wednesday.

Ø  You may work alone or together.

Ø  If you have questions, write them in the margins.

Ø  If you do mental math – please use the calculator to check.

Ø  We will finish whatever is left on Monday.

Ø  You can take the packet home, if you like, but you must bring it back on Monday.

Name: Period:

I.  Identify the correct operation by placing the correct operator next to the expression. Use these operators:

+ − ÷ x

Ex. / In addition to / +
1 / Diminished
2 / Product
3 / Divide
4 / In excess
5 / Greater
6 / Percent
7 / Quotient
8 / Remainder
9 / Twice
10 / Minus

II. Place the word that identifies the operation. Use the following:


addition subtraction division multiplication

11 / (3)(x)
12 / 3a
13 / 16/b
14 / x2

III.  Use these translations (and your notes) to help change the word problems that follow into numeric expressions. Do not solve.


5 less means −5
decreased by 3 means −3
twice a number means 2x
four more means +4

one-half means divide by 2

one-half means multiply by ½

Ex. / 5 more than x / X + 5
15 / 7 decreased by 5
16 / Twice a number n
17 / One-half of a number x
18 / The sum of 3 and a number x
19 / Nineteen less than a number n
20 / The difference between a number n and 6
21 / The product of a number x and 5
22 / Ten subtracted from a number y
23 / The quotient of a number x and 15

IV.  Doubles! Try these by memory and then check your answer!

24 / (2)(2)= / (7)(7)=
25 / (3)(3)= / (8)(8)=
26 / (4)(4)= / (9)(9)=
27 / (5)(5)= / (10)(10)=
28 / (6)(6)= / (11)(11)=
29 / (a)(a)= / (a)(a)(a)=
30 / (x)(x)= / (x)(x)(x)=

V.  Exponents! Fill in the missing blanks.

Base / Factor / Evaluate
31 / 12
32 / 23
33 / 32 / 9
34 / 44 / 4 • 4 • 4 • 4
35 / 52
36 / 63
37 / 72 / 7

VI.  Substitution! Enjoy this activity and, please, show your work!

If x = / Then / Equals
EX. / 12 / 6r / 72
38 / 1.5 / 2x + 3
39 / 0.5 / 15 ÷ x
40 / 1000 / x + 1
41 / 2/3 / 3x – 2
42 / 1 / 15
43 / 9.5 / 2x – 3x2 + 3

VII.  Area of a square equals (side) times (side).
We abbreviate “side” by using the letter s
So, Area of a square can be said to equal (s)(s)
Or: Area of a square = s2
Use the formula to find the area of the following squares:




Challenge: What is the area of the shaded part?

Have a great weekend!

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