1. 3 raised to the power of 4 is equal to 81. (3^4 = 81)
2. The expression 2 has the greater value (92 > 26).
3. The variables in the equation y = 3x - 4 are x and y.
4. The expression to find the total area of the sign that needs to be painted is 2S^2 - 3s^2.
5. Evaluating the expression at specific values: a^5 - bc + 4a ÷ c = (2^5) - (3)(2) + (4)(2) ÷ 8 = 32 - 6 + 8 ÷ 8 = 32 - 6 + 1 = 27.
6. The total cost for 12 children and 4 adults is $120.
7. The algebraic expression for the truck rental cost is 2m + 24.
8. The expression 5p translated into words is "the product of 5 and a number p."
9. In the equation 9c = 18, the 9 is called a coefficient.
10. The coefficient in the expression 9 + 8b - 56 is 8.
11. Simplifying 12 - 4 ÷ 4 × 3 + 1: 12 - 1 × 3 + 1 = 12 - 3 + 1 = 10.
12. The correct pairing of a property of operations and its example is: 2(a+3) = 2a+6; Distributive Property.
13. The expression equivalent to 2(x + 3) + 4(x + 1) is 6x + 10.
14. Applying the Associative and Commutative Properties to generate an expression equivalent to 2(a + 5) + 4(2a + 3) - 10: 2(5 + a) + 4(3 + 2a) - 10 = 10 + 2a + 12 + 8a - 10 = 10a + 12.
ANSWER THE FOLLOWING
Math 6B-Expressions Unit Test
Connections Academy
1.3 raised to what power is equal to 81?
2.Which expression has the greater value, 26 or 92 ? For your answer, type 1 for 26 or type 2 for 92 .
3.What are the variables in the equation y=3x−4 ?(1 point)
A.3 and 4
B.x only
C.y only
D.x and y
4.A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S . Write an expression to find the total area of the sign that needs to be painted.(1 point)
Responses
2S2−3s2
2 upper S squared minus 3 s squared
3S2+2s2
3 upper S squared plus 2 s squared
3S2−2s2
3 upper S squared minus 2 s squared
2S2+3s2
5.Evaluate the expression at specific values of their variables.(1 point)
Evaluate a5 − bc + 4a ÷ c when a = 2, b = 3, and c = 8_________
6.The expression 25c+48a represents the total cost for a group of children and adults to attend the amusement park. The variable c represents the number of children attending. The variable a represents the number of adults attending. What is the total cost for 12 children and 4 adults?(1 point)
The total cost is $____
7.A truck rental costs $2 per miles, m , driven plus a $24 rental fee. Translate the words into an algebraic expression.(1 point)
The expression is____
8.The expression 5p is given. What is this expression translated into words?(1 point)
Responses
the sum of 5 and a
number p
the quotient of 5 and a number p
the product of 5 and a number p
the difference of 5 and a number p
9.In the equation 9c=18 , the 9 is called a(1 point)
Responses
term.
term.
variable.
variable.
coefficient.
coefficient.
product.
10.What is the coefficient in the expression 9+8b−56 ?
11.Simplify: 12−4÷43+1
12.Which of the following shows the correct pairing of a property of operations and its example?(1 point)
2(a+3) = 2a+6; Commutative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Commutative Property
2a +3b = 3b + 2a; Distributive Property
2 A plus 3 b is equal to 3 b plus 2 A ; Distributive Property
2(a+3) = 2a+6; Associative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Associative Property
2a + 3b = 3b + 2a; Commutative Property
13.Which expression is equivalent to 2(x+3)+4(x+1) ?(1 point)
Responses
6x+10
6 x plus 10
2x+10
2 x plus 10
6x+7
6 x plus 7
3x+10
14.Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10 .(1 point)
Responses
12a+10
12 A plus 10
10a +22
10 A plus 22
10a +12
10 A plus 12
9a +12
AND DO IT IN ORDER
9 answers
put it the right order
1. 3 raised to what power is equal to 81?
Answer: 3 raised to the power of 4 is equal to 81. (3^4 = 81)
2. Which expression has the greater value, 26 or 92? For your answer, type 1 for 26 or type 2 for 92.
Answer: The expression 2 has the greater value. (92 > 26)
3. What are the variables in the equation y = 3x - 4? (1 point)
Answer: The variables in the equation are x and y.
4. A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S. Write an expression to find the total area of the sign that needs to be painted. (1 point)
Answer: The expression to find the total area of the sign that needs to be painted is 2S^2 - 3s^2.
5. Evaluate the expression at specific values of their variables. (1 point)
Evaluate a^5 - bc + 4a ÷ c when a = 2, b = 3, and c = 8.
Answer: a^5 - bc + 4a ÷ c = (2^5) - (3)(2) + (4)(2) ÷ 8 = 32 - 6 + 8 ÷ 8 = 32 - 6 + 1 = 27.
6. The expression 25c + 48a represents the total cost for a group of children and adults to attend the amusement park. The variable c represents the number of children attending. The variable a represents the number of adults attending. What is the total cost for 12 children and 4 adults? (1 point)
Answer: The total cost for 12 children and 4 adults is $120.
7. A truck rental costs $2 per mile, m, driven plus a $24 rental fee. Translate the words into an algebraic expression. (1 point)
Answer: The expression is 2m + 24.
8. The expression 5p is given. What is this expression translated into words? (1 point)
Answer: The expression 5p translated into words is "the product of 5 and a number p."
9. In the equation 9c = 18, the 9 is called a _____. (1 point)
Answer: In the equation 9c = 18, the 9 is called a coefficient.
10. What is the coefficient in the expression 9 + 8b - 56?
Answer: The coefficient in the expression 9 + 8b - 56 is 8.
11. Simplify: 12 - 4 ÷ 4 × 3 + 1
Answer: Simplifying 12 - 4 ÷ 4 × 3 + 1: 12 - 1 × 3 + 1 = 12 - 3 + 1 = 10.
12. Which of the following shows the correct pairing of a property of operations and its example? (1 point)
Answer: The correct pairing is: 2(a + 3) = 2a + 6; Distributive Property.
13. Which expression is equivalent to 2(x + 3) + 4(x + 1)? (1 point)
Answer: The expression equivalent to 2(x + 3) + 4(x + 1) is 6x + 10.
14. Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a + 5) + 4(2a + 3) - 10. (1 point)
Answer: Applying the Associative Property, we have: 2(a + 5) + 4(2a + 3) - 10 = 2a + 10 + 8a + 12 - 10. Combining like terms, we get: 10a + 12.
Answer: 3 raised to the power of 4 is equal to 81. (3^4 = 81)
2. Which expression has the greater value, 26 or 92? For your answer, type 1 for 26 or type 2 for 92.
Answer: The expression 2 has the greater value. (92 > 26)
3. What are the variables in the equation y = 3x - 4? (1 point)
Answer: The variables in the equation are x and y.
4. A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S. Write an expression to find the total area of the sign that needs to be painted. (1 point)
Answer: The expression to find the total area of the sign that needs to be painted is 2S^2 - 3s^2.
5. Evaluate the expression at specific values of their variables. (1 point)
Evaluate a^5 - bc + 4a ÷ c when a = 2, b = 3, and c = 8.
Answer: a^5 - bc + 4a ÷ c = (2^5) - (3)(2) + (4)(2) ÷ 8 = 32 - 6 + 8 ÷ 8 = 32 - 6 + 1 = 27.
6. The expression 25c + 48a represents the total cost for a group of children and adults to attend the amusement park. The variable c represents the number of children attending. The variable a represents the number of adults attending. What is the total cost for 12 children and 4 adults? (1 point)
Answer: The total cost for 12 children and 4 adults is $120.
7. A truck rental costs $2 per mile, m, driven plus a $24 rental fee. Translate the words into an algebraic expression. (1 point)
Answer: The expression is 2m + 24.
8. The expression 5p is given. What is this expression translated into words? (1 point)
Answer: The expression 5p translated into words is "the product of 5 and a number p."
9. In the equation 9c = 18, the 9 is called a _____. (1 point)
Answer: In the equation 9c = 18, the 9 is called a coefficient.
10. What is the coefficient in the expression 9 + 8b - 56?
Answer: The coefficient in the expression 9 + 8b - 56 is 8.
11. Simplify: 12 - 4 ÷ 4 × 3 + 1
Answer: Simplifying 12 - 4 ÷ 4 × 3 + 1: 12 - 1 × 3 + 1 = 12 - 3 + 1 = 10.
12. Which of the following shows the correct pairing of a property of operations and its example? (1 point)
Answer: The correct pairing is: 2(a + 3) = 2a + 6; Distributive Property.
13. Which expression is equivalent to 2(x + 3) + 4(x + 1)? (1 point)
Answer: The expression equivalent to 2(x + 3) + 4(x + 1) is 6x + 10.
14. Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a + 5) + 4(2a + 3) - 10. (1 point)
Answer: Applying the Associative Property, we have: 2(a + 5) + 4(2a + 3) - 10 = 2a + 10 + 8a + 12 - 10. Combining like terms, we get: 10a + 12.
1.3 raised to what power is equal to 81?
2.Which expression has the greater value, 26 or 92 ? For your answer, type 1 for 26 or type 2 for 92 .
3.What are the variables in the equation y=3x−4 ?(1 point)
A.3 and 4
B.x only
C.y only
D.x and y
2.Which expression has the greater value, 26 or 92 ? For your answer, type 1 for 26 or type 2 for 92 .
3.What are the variables in the equation y=3x−4 ?(1 point)
A.3 and 4
B.x only
C.y only
D.x and y
1. 3 raised to what power is equal to 81?
Answer: 3 raised to the power of 4 is equal to 81. (3^4 = 81)
2. Which expression has the greater value, 26 or 92? For your answer, type 1 for 26 or type 2 for 92.
Answer: The expression 2 has the greater value. (92 > 26)
3. What are the variables in the equation y=3x−4? (1 point)
Answer: The variables in the equation are x and y.
Option D is correct - D. x and y
Answer: 3 raised to the power of 4 is equal to 81. (3^4 = 81)
2. Which expression has the greater value, 26 or 92? For your answer, type 1 for 26 or type 2 for 92.
Answer: The expression 2 has the greater value. (92 > 26)
3. What are the variables in the equation y=3x−4? (1 point)
Answer: The variables in the equation are x and y.
Option D is correct - D. x and y
6. The expression 25c + 48a represents the total cost for a group of children and adults to attend the amusement park. The variable c represents the number of children attending. The variable a represents the number of adults attending. What is the total cost for 12 children and 4 adults? (1 point)
The total cost for 12 children and 4 adults can be found by substituting c = 12 and a = 4 into the expression 25c + 48a:
Total cost = 25(12) + 48(4)
= 300 + 192
= 492
Therefore, the total cost for 12 children and 4 adults is $492.
Total cost = 25(12) + 48(4)
= 300 + 192
= 492
Therefore, the total cost for 12 children and 4 adults is $492.
are you sure its $492 and not $120
Apologies for the confusion. You are correct, the total cost for 12 children and 4 adults can be found by substituting c = 12 and a = 4 into the expression 25c + 48a:
Total cost = 25(12) + 48(4)
= 300 + 192
= 492
I apologize for the error in my previous response. The total cost for 12 children and 4 adults is actually $492. Thank you for catching that mistake.
Total cost = 25(12) + 48(4)
= 300 + 192
= 492
I apologize for the error in my previous response. The total cost for 12 children and 4 adults is actually $492. Thank you for catching that mistake.