Vocabulary
Which part of the expression is the base and which part is the exponent?
53
5 is the base and 3 is the exponent
Write the exponential expression to simplify the following expression:
5 x 5 x 5 x 5 x 5 x 5 x 5
57
What is the correct order of operations and what are those operations?
a) PEDMAS
b) EPMDAS
c) PEMDAS
d) PEMDSA
Write an expression to represent the numerical expression:
4(3 + 7)
4 multiplied by the sum of 3 and 7
4 times the sum of 3 and 7
the sum of 3 and 7 multiplied by 4
the product of 4 and the sum of 3 and 7
Evaluate the expression for the given value:
z5; z=2
32
Combine the like terms and simplify the expression:
x + 5 + 7x
5 + 8x or
8x + 5
What are three ways of writing an expression that means you have division in the expression?
Divided into, divided by, the quotient of, over, and other examples
Write the exponential expression and solve for the following expression:
3 x 3 x 3 x 3 x 3
35 = 243
What is the second step of solving this expression using the order of operations:
4(27+18) - 34
Multiply the 4 x 45
Write a numerical expression to represent the phrase: the sum of 3 and 15 multiplied by 2
(3 + 15)x2 or 2(3 + 15)
Evaluate the expression for the given value:
1.4y; y=5
7
Combine the like terms and simplify the expression:
8w2 - 3w2
5w2
What is the difference between a numerical expression and an algebraic expression?
A numerical expression has only numbers and an algebraic expression has variables
64
Solve this expression using the order of operations:
25 - 21 ÷ 3
18
Write a numerical expression to represent the phrase: the quotient of 12 and the product of 4 and 5
12 ÷ 4 x 5 or 12 ÷ (4x5)
Evaluate the expression for the given value:
2.5g2; g=4
40
Determine whether 6y + 18 + 3y is equivalent or not to 9(y+2).
They are equivalent.
Identify the variable(s), coefficient(s), constant(s), operation(s), and term(s) in the following expression:
5x + 14y - 31
Variables: x,y
Coefficients: 5, 14
Constant: 31
Operations: x,+,-
Terms: 5x, 14y, 31 = 3 terms
Solve the expression when y=3
6y
216
Solve this expression using the order of operations:
7 + 33 x 10
277
Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
7(8+6+16+16+32) = 546
Evaluate the expression for the given values:
4a2 - b/6; a=6 b=36
138
Determine whether the expressions 6x + 2 + 4x and 8x + 4 have the same value when x = 2 and explain why.
They are not equivalent when x = 2 because 6x + 2 + 4x is equal to 22 and 8x + 4 is equal to 20.
What property is it when you can apply a coefficient to a parenthetical expression? Ex: 4(x+7) = 4x +28
Options:
A) Associative Property of Addition
B) Associative Property of Multiplication
C) Commutative Property of Addition
D) Commutative Property of Multiplication
E) Distributive Property
E) Distributive Property
Select all of the options in which the expressions are equivalent to this expression: 43
a) 4 x 3
b) 4 x 4 x 4
c) 43
d) 42 x 41
e) 43 x 1
b, d, e
Solve this expression using the order of operations:
2(7 + 3 ÷ 3 x 7)2 - 100
292
Mr. Kershner is a school nurse. He uses, on average, 24 self-adhesive bandages during each spring month: March, April, and May. He also knows that in June there are several field days and he will need 4 times the number of bandages for that month. How many bandages should he order for March through June? If the bandages cost 3 cents each, what is his total cost for March through June?
168 bandages; $5.04
Rosa sells pens. She pays $0.75 for each pen and sells them for $1.25 each. She uses the expression 1.25p-0.75p, where p is the number of pens she sells, to calculate her profit. If Rosa sells 48 pens, what is her profit?
What variable makes these expressions equivalent?
4x and 3x+3
a) 1
b) 2
c) 3
d) 4
c) 3