Write and Evaluate
Powers
Powers
Write (5/9)⋅(5/9)⋅(5/9)⋅(5/9)⋅(5/9) using an exponent.
(5/9)5
What step should be performed first to evaluate the expression
32 · |10 + 4| – 12 · 4?
10+4
Identify the terms, like terms, coefficients, and constants in the expression 2 + 3s + 4s2 + 6s + 9.
Terms : 2 , 3s , 4s2 , 6s , 9
Like terms : 3s & 6s ; 2 & 9
Coefficients : 3 , 4 , 6
Constants : 2 , 9
Evaluate the expression 5a + 4b when a = –7 and b = 3.
-23
Use the Distributive Property to expand 2(x + 3)
2x + 6
Which expression is equivalent to (–7)4?
A. -7 · 4 B. 16,384
C. (-7) · (-7) · (-7) · (-7) D. 2,401
E. -2,401 F. - 16,384
C. and D.
Evaluate the expression
-9 + 8 · (-3) - (5 · 2)
-43
Identify the terms, like terms, coefficients, and constants in the expression
4x2 + 6x +8 + 9x + 2
Terms : 4x2 , 6x , 8 , 9x , 2
Like terms : 6x & 9x ; 8 & 2
Coefficients : 4 , 6 , 9
Constants : 8 , 2
What is the difference between an algebraic expression and a numerical expression?
An algebraic expression includes numbers, variables, and at least one operation.
A numerical expression includes numbers and at least one operation.
Variables
Use the distributive property to rewrite the expression 6(5h + 4).
30h + 24
Write 48 as a product of its prime factors.
24 x 3
Mei is shopping for the items shown in the table. Write an expression to represent the total cost of 6 bubbles, 2 beach balls, and 3 sand buckets. Then find the total cost.
Item bubbles beach ball sand buckets
Cost $1.49 $2.00 $3.50
(6 x 1.49) + 22 + (3 x 3.50)
Total cost: $23.44
Write the phrase as an algebraic expression
five less than three times the number of points. Let p represent the number of points.
3p - 5
Evaluate the algebraic expression 4x + 2y – 3z when x = –5, y = 10, and z = 6.
-18
Marissa is buying 5 packages of crackers for $3.10 each. Use mental math and the Distributive Property to determine how much change Marissa will receive if she gives the clerk $20.
$4.50
Evaluate the power : (1.5)5
7.59375
FIND THE ERROR. A student is evaluating the expression 42 + 6 ÷ 2. Find the student’s mistake and correct it.
42 + 6 ÷ 2 = 48 ÷ 2 = 24
42 +3 or 45
The length of a picture frame is 3 times its width. Write an algebraic expression of four terms for the perimeter of the picture frame. Use w as your variable for the width.
3w + 3w + w +w
Use properties of operations to generate an expression that is equivalent to
-4x2 - 6x +8 + 9x - 2
-4x2 + 3x +6
Use properties of operations to generate an expression that is equivalent to the given expression.
–3 + 2(–8x + 6) – 4x + 3
12 - 20x
Write 594 as a product of its prime factors.
2 x 33 x 11
Evaluate the expression
78 - (-2)4 ÷|6-14| · 2
74
Write the phrase as an algebraic expression
$2.50 more than one-fourth the cost of a pizza
Let c represent the cost of a pizza
1/4c + 2.5
The perimeter of a rectangle can be found using the expression 2ℓ + 2w, where ℓ represents the length and w represents the width. Find the perimeter when ℓ = 6 units and w = 4 units.
20 units
Use properties of operations to generate an expression that is equivalent to 8y + 3 – 2(y – 13).
6y + 29