Unit 2 Test Study Guide
Test Date: Friday, October 30
Topics:
 All Topics from Unit 1: Divisibility Rules,
 Representing Real World Situations with
Long Division, GCF, LCM, Distributive
Expressions (see below)
Property, Exponents and Powers, Order of
 Combining Like Terms (see below)
Operations
 Distributive Property with Variables (see
 Variables and Expressions (pg. 29-32)
below)
 Translating Phrases into Expressions (629 Equivalent Expressions (see Below)
632)
*To study, you should complete odd numbered problems from the pages above so that you can check if you
got the correct answer or not in the back of the textbook. Selected answers begin on Pg. SA1.
Vocabulary:
 All vocab from Unit 1
 Coefficient
 Like terms
 Expression
 Variable
 Simplify
 Term
 Constant
 Evaluate
Parts of an Expression: Complete the chart
Expression
4x+6y+3
Number of Terms
Variables
Coefficients
Constants
2a+b+12c+c
5+10m+n+9
Evaluating Expressions: Use the given value to evaluate each expression
1) c + 5 + z, for c = 6 and z = 8
5) 2(10 + m), for m = 2
99
6
2) v , for v = 10
6)
, for s = 9
3)
𝑎+9
2
, for a = 7
4) k + 6 + s, for k = 10 and s = 9
7)
8)
𝑠+2
𝑎
, for a = 15
5
10
7−𝑟
, for r = 2
Translating Phrases into Expressions: Translate the following into algebraic expressions
9) Twelve more than five times a number.
10) Six times the sum of a number and four.
11) Eight subtracted from two times a number.
12) The quotient of one less than a number and twice a number.
6·(a+9)
19 – n
4
3s+7t+r
Representing Real World Situations with Expressions: Write a let statement and an algebraic expression.
17) Kalie ate g out of 14 gumdrops. Write an expression to represent the gumdrops he has left. Evaluate
the expression if Kalie ate 5 gumdrops.
18) Gabe has t trading cards. Tony has 91 more trading cards than Gabe. Write an expression to show how
many cards Tony has. Evaluate the expression if Gabe has 87 trading cards.
19) Marisa bought new jeans at the mall. Each pair cost $45 and she had a $10 off coupon. Write an
expression to represent the total cost. Evaluate the expression if Marisa bought 3 pairs of jeans.
20) Jack has 4 times more pencils than David. David has 6 more pencils than Abbie. Write an expression to
show how many pencils Jack has if Abbie has p pencils. Evaluate the expression if Abbie has 12 pencils.
Combining Like Terms and the Distributive Property: Use the distributive property and combining like terms
to simplify each expression.
21)
27)
22)
28)
23)
29)
24)
30)
25)
31)
26)
32)
Equivalent Expressions: Determine whether each set of expressions is equivalent or not.
33) y + y + y = 3y
37) n * n * n + 5 = n3 + 5
34) 4x5 = 4 * x * x * x * x
38) x + x + x + x= 4x
35) 4 - z = z – 4
39) 5(x +3) = 5x + 8
36) 5y + 8 = 8 + y + y + y + y + y