What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?
12
15
17
18
Question 2 (Fill-In-The-Blank Worth 1 points)
(06.04 LC)
If x = 2.7, 5x = . (Input decimals only, such as 12.7.)
Answer for Blank 1:
Question 3(Multiple Choice Worth 1 points)
(06.07 HC)
Which expression is equivalent to 12x − 8x + 3 and why?
3 + 4x, because (12x − 8x) + 3 = 4x + 3 = 3 + 4x
7x, because 12x − 8x + 3 = 4x + 3 = 7x
12x − 5, because 12x − (8x − 3) = 12x − 5
x, because 12x − 8x + 3 = 12x − 11x = x
Question 4(Multiple Choice Worth 1 points)
(06.07 MC)
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Question 5(Multiple Choice Worth 1 points)
(06.04 MC)
What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?
8.2
9.2
18.6
19.6
Question 6(Multiple Choice Worth 1 points)
(06.06 LC)
Which of these shows 8 + 3m rewritten using the commutative property of addition?
8m + 3
8 − 3m
3m − 8
3m + 8
Question 7(Multiple Choice Worth 1 points)
(06.02 LC)
Which of these is the algebraic expression for "5 times the sum of 2 and y?"
5 ⋅ 2 + y
2 + 5 ⋅ y
2(5 + y)
5(2 + y)
Question 8(Multiple Choice Worth 1 points)
(06.06 MC)
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Question 9(Multiple Choice Worth 1 points)
(06.03 MC)
Which statement best describes the expression 3 + y ÷ 2?
The quotient of 2 and the sum of 3 and y
The quotient of the sum of 3 and y, and 2
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
Question 10(Multiple Choice Worth 1 points)
(06.01 MC)
What is the value of the expression 22 + 62 ÷ 22?
10
13
16
36
Question 11 (Fill-In-The-Blank Worth 1 points)
(06.01 LC)
34 + 2 ⋅ 5 = . (Input whole numbers only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 12(Multiple Choice Worth 1 points)
(06.06 LC)
Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
Distributive property
Associative property
Commutative property of multiplication
Commutative property of addition
Question 13(Multiple Choice Worth 1 points)
(06.02 LC)
Which statement best describes the expression 4y ÷ 9?
9 divided by 4 times y
9 times y divided by 4
4 times y divided by 9
4 divided by 9 times y
Question 14(Multiple Choice Worth 1 points)
(06.07 LC)
Which expression is equal to 5p?
p + p + p + p + p
4p + 1
p + 5
p3 + p2
Question 15(Multiple Choice Worth 1 points)
(06.04 MC)
The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 5 unit and width fraction 1 over 2 unit?
fraction 1 and 2 over 5 units
fraction 1 and 1 over 5 units
fraction 4 over 7 unit
fraction 2 over 7 unit
Question 16(Multiple Choice Worth 1 points)
(06.03 MC)
Which expression shows a sum of three terms?
3x
3 + x
x3
x + 3 + x
Question 17(Multiple Choice Worth 1 points)
(06.02 MC)
Which of these is the algebraic expression for "4 less than the product of 3 and some number?"
4m − 3
3m − 4
3 − 4m
4 − 3m
Question 18(Multiple Choice Worth 1 points)
(06.03 LC)
What is the coefficient of y in the expression 2 ⋅ 4 + 3y?
2
3
7
8