Five-Minute Check
CCSS
Then/Now
New Vocabulary
Key Concept: Order of Operations
Example 1: Evaluate Algebraic Expressions
Example 2: Evaluate Algebraic Expressions
Example 3: Real-World Example: Use a Formula
1. Evaluate (12 – 9)
2. Simplify 5(4 + n) + 6n
3.
3
Evaluate (12 – 9)3.
A. 3
B. 9
C. 27
D. 729
Simplify 5(4 + n) + 6n.
A. 7n + 20
B. 10n + 5
C. 11n
D. 11n + 20
A.
B.
C.
D.
What is the area of a square with sides of
15 centimeters?
A. 250 cm2
B. 225 cm2
C. 120 cm2
D. 60 cm2
Which expression represents the area of a
rectangle with length 2x and width x?
A. 4x2
B. 4x
C. 2x2
D. 2x
Chairs for a wedding can
be rented at the costs
shown in the table.
Based on the pattern in
the table, what is the
cost to rent 250 chairs?
A. $575
B. $625
C. $700
D. $750
Content Standards
A.SSE.1.a Interpret parts of an expression,
such as terms, factors, and coefficients.
A.SSE.1.b Interpret complicated expressions
by viewing one or more of their parts as a
single entity.
Mathematical Practices
1 Make sense of problems and persevere in
solving them.
You used the rules of exponents.
• Use the order of operations to evaluate
expressions.
• Use formulas.
• variables
• algebraic expressions
• order of operations
• formula
Evaluate Algebraic Expressions
Evaluate (x – y)3 + 3 if x = 1 and y = 4.
(x – y)3 + 3 = (1 – 4)3 + 3
x = 1 and y = 4
= (–3)3 + 3
Subtract 4 from 1.
= –27 + 3
Evaluate (–3)3.
= –24
Add –27 and 3.
Answer: –24
Evaluate f + g2 – 3g if f = 5 and g = 2.
A. 3
B. 4
C. 6
D. –3
Evaluate Algebraic Expressions
A. Evaluate n – t(n2 – t) if n = 2 and t = 3.4.
n – t(n2 – t) = 2 – 3.4(22 – 3.4)
n = 2 and t = 3.4
= 2 – 3.4(4 – 3.4)
Evaluate 22.
= 2 – 3.4(0.6)
Subtract 3.4 from 4.
= 2 – 2.04
Multiply 3.4 and 0.6.
= –0.04
Subtract 2.04 from 2.
Answer: –0.04
Evaluate Algebraic Expressions
B.
x = 5, y = –2, and z = –1
Evaluate the numerator and
the denominator separately.
Multiply in the numerator.
Simplify the numerator
and the denominator.
Then simplify the fraction.
Answer: –9
A. Evaluate a + b2(a – b) if a = 4 and b = –2.
A.
0
B.
12
C.
24
D.
28
B.
A.
–1
B.
–3
C.
3
D.
4
Use a Formula
Use a Formula
Answer: The area of the trapezoid is 152 square
meters.
A. 450 cm3
B. 75 cm3
C. 50 cm3
D. 10 cm3