1. The power is 4, because 1.3^4 = 81.
2. 2. The expression 92 has the greater value.
3. D. x and y are the variables in the equation.
4. C. 3S^2-2s^2 is the expression for the total area of the sign.
5. Substitute the given values into the expression:
a5 − bc + 4a ÷ c becomes 25 − (3)(8) + 4(2) ÷ 8 = 25 - 24 + 8 ÷ 8 = 25 - 24 + 1 = 2
6. Substitute the given values into the expression:
The total cost for 12 children and 4 adults is 25 * 12 + 48 * 4 = $776.
7. The expression is 2m + 24.
8. The expression 5p translated into words is "the product of 5 and a number p."
9. coefficient.
10. The coefficient in the expression 9+8b−56 is 8.
11. Simplify: 12−4÷43+1
12 - (4 ÷ 43) + 1 = 12 - (4/43) + 1 = 12 - 0.093 + 1 = 12 - 0.093 + 1 = 12.907
12. The correct pairing is:
2(a+3) = 2a+6; Associative Property
13. 6x+10 is equivalent to 2(x+3)+4(x+1).
14. Applying the Associative and Commutative Properties to 2(a+5)+4(2a+3)−10:
2(a+5)+4(2a+3)−10 = 2a + 10 + 8a + 12 - 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
thanks
1 answer