Powers and Exponents
Write (45)∙(45)∙(45)∙(45) using an exponent.
454
What step should be performed first to evaluate the expression 42∙|1+5|−10∙2?
1+5; The absolute value bars.
Use the distributive property to rewrite the expression 8(6+h).
48+8h
List the like terms, coefficients, and constants in the expression 5s+7s2+9s+8.
Like Terms: 5s, 9s
Coefficients: 5, 7, 9
Constants: 8
Evaluate the expression 12a+b when a=−3 and b=4.
-32
Evaluate -85
-32768
Evaluate -9 + 8 X (-3) - (5 X 2)
-43
Use the distributive property to rewrite the expression 9(2x+8).
18x+72
Use properties of operations and select the expression that is equivalent to 3x+3+5x.
8x+3
The expression 0.5bh can be used to find the area of a triangle. Find the area of the triangle if b=8 inches and h=12 inches.
48
Evaluate -64
1296
Evaluate 42∙|1+5|−10∙2
76
Amara is buying 4 packages of crackers for $2.20 each. Use mental math and the Distributive Property to determine how much change Amara will receive if she gives a clerk $20.
$11.20
Use properties of operations to generate an expression that is equivalent to −7(x+9)−22.
*Put your answer in simplest form*
-7x-85
Evaluate the algebraic expression −4x−2y+3z when x=–6, y=5, and z=4.
26
Write 150 as a product of prime factors.
2 X 3 X 52
Evaluate the expression (−2)3∙|5∙6−3|+(−4)2
-200
Use the GCF to Factor 24+6x.
6(4+x)
Use properties of operations and select the expression that is equivalent to 7y+5−3(y−2).
4y+11
Write an algebraic expression to represent the phrase
"fifteen fewer than the librarian's number of books, b"
b-15
Write 312 as a product of prime factors.
23 X 3 X 13
The Liberty Middle School student council is having a bake sale to raise money for new gym equipment. The cost of various baked goods is shown in the table. There were 88 muffins ($3.60), 65 brownies ($1.50) and 40 cupcakes ($2.25) sold. The student council had to pay $60 out of their budget to hold the bake sale.
What was the total amount of money the student council raised?
$435.50
Use the GCF to factor 45x+75.
15(3x+5)
Use properties of operations to generate an expression that is equivalent to 15+(-3)(x+4).
-3x+3
Write an algebraic expression to represent the phrase
"the product of two and the number of books, b, increased by seven"
2b+7