Download Name____________________ Expressions, Equations and Order

Name____________________
Expressions, Equations and Order of Operations Study Guide/Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1.
What is the value of the expression below if y = 5?
35 ÷ (y + 2) + 4
a.
b.
c.
d.
5
7
9
13
2.What is the value of the expression below?
7
(7 – 4) + 6
a.
b.
c.
d.
21
27
51
63
3.Evaluate 47 + d for d = 30.
a.
17
b.
67
c.
77
d.
87
c.
288
d.
6
4.What is the value of k ÷ 6 when k is equal to 48?
a.
9
b.
8
5.Which expression represents the phrase “the cost of p pounds of tomatoes at $2.99 per pound”?
a.
b.
c.
d.
$2.99 + p
$2.99 – p
$2.99 ÷ p
$2.99p
6.Lucy spent $15 of her money. If m represents her money, which expression shows how much money Lucy will have left?
a.
b.
c.
15 – m
m – 15
d.
15 + m
7.There are 12 inches in one foot. Which algebraic expression shows the number of inches in p feet?
a.
b.
c.
d.
p – 12
12p
12 p
12 ÷ p
8.Which of the following gives the value of the expression b
a.
b.
c.
d.
4
16
21
84
4 for b = 21?
Name____________________
Expressions, Equations and Order of Operations Study Guide/Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
9.A fifth-grade class is earning points for a pizza party by reading books. For every book they read, they earn 6 points.
Complete the table, where b represents the number of books read. How many points will they earn if b = 24?
a.
b.
c.
d.
10.
180 points
156 points
144 points
30 points
What is the value of the expression 10 – (8 + 6) ÷ 2 – 1?
a.
b.
c.
d.
2
3
4
5
11.What is the value of 16 – 3k + 5 when k = 4?
a.
b.
c.
d.
4
9
12
23
12.Which of the following is equal to 13?
a.
b.
c.
d.
3 + (9 ÷ 4) + 2
5
3 + 9 ÷ (4 – 2)
5
(3 + 9) ÷ (4 + 2)
5
(3 + 9) ÷ 4 + 2
5
13.The number of laps Max walked is 5 less than the number Aaron walked. If a represents the number of laps that Aaron
walked, which expression represents the number of laps Max walked?
a.
b.
5–a
5a
c.
d.
5+a
a–5
14.Conrad has 6 fewer marbles than Rory. If r represents the number of marbles that Rory has, which expression represents
the number of marbles that Conrad has?
a.
r+6
b.
r–6
c.
6r
d.
6–r
15.Pierre had $42 before he paid his club dues. Evaluate the expression 42 – d for d = 25 to find how much money Pierre had
left after he spent $25 on dues.
a.
$15
b.
$17
c.
$67
d.
$4,225
Name____________________
Expressions, Equations and Order of Operations Study Guide/Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Expressions, Equations and Order of Operations Study Guide/Practice Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
ANS:
C
PTS:
1
REF:
Lesson 8-4
NAT:
5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
STA:
M5A1b Investigate simple algebraic expressions by substituting numbers for the unknown.
TOP:
Evaluating Expressions
ANS:
B
PTS:
1
REF:
Lesson 8-3
NAT:
5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
TOP:
Simplifying
Expressions
ANS:
C
PTS:
1
REF:
Lesson 8-5
NAT:
5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs
consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the
starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence
are twice the corresponding terms in the other sequence. Explain informally why this is so.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Addition and Subtraction Expressions
ANS:
B
PTS:
1
REF:
Lesson 8-6
NAT:
5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs
consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the
starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence
are twice the corresponding terms in the other sequence. Explain informally why this is so.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Multiplication and Division Expressions
ANS:
D
PTS:
1
REF:
Lesson 8-8
NAT:
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example,
express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without
having to calculate the indicated sum or product.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Variables and Expressions
ANS:
B
PTS:
1
REF:
Lesson 8-8
NAT:
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example,
express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without
having to calculate the indicated sum or product.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Variables and Expressions
ANS:
B
PTS:
1
REF:
Lesson 8-8
NAT:
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example,
express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without
having to calculate the indicated sum or product.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Variables and Expressions
ANS:
D
PTS:
1
REF:
Lesson 8-4
NAT:
5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
STA:
M5A1b Investigate simple algebraic expressions by substituting numbers for the unknown.
TOP:
Evaluating Expressions
ANS:
C
PTS:
1
REF:
Lesson 8-7
NAT:
5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs
consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the
starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence
are twice the corresponding terms in the other sequence. Explain informally why this is so.
STA:
M5A1c Determine that a formula will be reliable regardless of the type of number (whole numbers or decimals) substituted for the variable.
TOP:
Patterns: Extending Tables
ANS:
A
PTS:
1
REF:
Lesson 8-2
NAT:
5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
TOP:
Order of
Operations
ANS:
B
PTS:
1
REF:
Lesson 8-4
NAT:
5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
STA:
M5A1b Investigate simple algebraic expressions by substituting numbers for the unknown.
TOP:
Evaluating Expressions
ANS:
D
PTS:
1
REF:
Lesson 8-2
NAT:
5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
TOP:
Order of
Name____________________
Expressions, Equations and Order of Operations Study Guide/Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
13.
14.
15.
Operations
ANS:
D
PTS:
1
REF:
Lesson 8-1
NAT:
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example,
express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without
having to calculate the indicated sum or product.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Using Variables to Write Expressions
ANS:
B
PTS:
1
REF:
Lesson 8-1
NAT:
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example,
express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without
having to calculate the indicated sum or product.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Using Variables to Write Expressions
ANS:
B
PTS:
1
REF:
Lesson 8-5
NAT:
5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs
consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the
starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence
are twice the corresponding terms in the other sequence. Explain informally why this is so.
STA:
M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions.
TOP:
Addition and Subtraction Expressions