Math 7
Unit 3
Review
Block__
Name____________________________ Date ________________
Topics to review: Order of operations, Evaluating Expressions, and
Translating algebraic expressions and equations.
1)
2  (12)  82
7  7  81  9
2) When simplifying the following, using order of
operations, which operation should be performed
first?
2 + 3 x 72- 12
-8(10) ÷ 40 • -2
3)
For the expression above, which answer lists the operations in the order in which you should perform
them?
A:
B:
C:
D:
Multiplication, Division, Subtraction, Multiplication
Multiplication, Subtraction, Multiplication
Multiplication, Division, Multiplication
Multiplication, Multiplication, Division
4)
-2(6 - 10)2 +
100
10
6) The value of
4 ∙ 2𝑥 − 5 when x = 3
2
5) What is the value of the expression? (8  5)  4 
7) The value of
(𝐵 + 𝑏)ℎ
when B = 3, b =5 and h = 4
1
4
8)
25+30÷6
35÷7(3)
9) The value of 9𝑦 2 − 4𝑥
when x = -4 and y = 1
11) The value of
𝑥 2 + 4𝑥 − 6
when x = -5
12)
12)
14)
14 + 40 ÷ 4
24 ÷ 6 ∗ 2
14)
2
9 − 12 + 5 ∗ 2
5 − 42 ÷ 4(2)
2
10)
25 + 8 ÷ 2 ∗ 4 − 3
13) 92 − 3 ∗ (7 − 9)
3
−4 + 3(5 + 2 )
15) The value of
2(𝑥 + 3)2 + 5𝑥
when x = -1
15) The value of
6𝑘 3 + 3𝑑
when k = -1 and d = -2
1
16) (9 − 4)2 − 5 ∗ 5
4x  5 y
2y
if x  6 and y  2 ?
26.5
8.5
3.5
0.5
17) What is the value of
a.
b.
c.
d.
18) What is the value of x 2  2 x  3 if x  6 ?
e. 27
f. 42
g. 51
h. 60
20) What is the value of 3  2 x  5 y  if
x  2 and y  3 ?
m.
n.
o.
p.
21) What is the value of a(b  c) if
a  2, b  3, and c  2 ?
19) What is the value of x  5  y 
if x  4 and y  2 ?
i.
j.
k.
l.
q.
r.
s.
t.
18
22
28
36
22)
23)
24) 4x + 3y – 5d + 13
How many terms?
25)
What is the coefficient of d?
What is the constant?
Is this an expression, equation or inequality?
-33
-27
33
57
2
-2
-4
-10
Translate the following phrases into mathematical expressions or equations.
26) “the quotient of a number and three, minus a number is fifteen.”
27) “Five plus a number”
28) “Nine minus the product of seven and a number”
29) “The product of a number and eight equals three”
30) “the difference of a number and three is fifteen.”
31) “Five more than a number”
32) “Nine divided by the product of seven and a number”
33) “The sum of a number and eight results in three
34) “five less than a number”
35) Which of the following is
false?
a. 4x + 3 is an
expression
b. 5x + 2 = 12 is an
equation with 3 terms
c. 4f – 12 is an
inequality with two
terms
d. 12f has no constant
36) Which of the following is
true?
a. 12f is an expression
with 12 as a constant
b. 12f is an expression
with f as a coefficient
c. 12f is an expression
with 12 as term
d. 12f is an expression
with 12 as a
coefficient
37) 8d + 15f – 12 > 13g
a. What are the
variables?
___________
b. How many terms?
______________
c. What is the constant?
_____________
d. Is the following an
expression, inequality
or equation?
______________