1: Evaluate the expression at specific values of their variables.
Evaluate a5 − bc + 4a ÷ c when a = 2, b = 3, and c = 8 = 2(5) - 3(8) + 4(2) ÷ 8 = 10 - 24 + 8 ÷ 8 = -14 + 1 = -13
The answer is -13.
2: 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?
Substitute c = 12 and a = 4 into the expression: 25(12) + 48(4) = 300 + 192 = 492
The total cost is $492.
3: A truck rental costs $2 per mile, m, driven plus a $24 rental fee. Translate the words into an algebraic expression.
The expression is 2m + 24.
4: The expression 5p is given. What is this expression translated into words?
B. the product of 5 and a number p
5: In the equation 9c=18, the 9 is called a...
B. coefficient.
6: What is the coefficient in the expression 9+8b−56?
The coefficient is 8.
7: Simplify: 12−4÷43+1
12 - 4 ÷ 4 + 3 + 1 = 12 - 1 + 3 + 1 = 15
The simplified expression is 15.
8: Which of the following shows the correct pairing of a property of operations and its example?
A. 2(a+3) = 2a+6; Associative Property
9: Which expression is equivalent to 2(x+3)+4(x+1) ?
A. 6x+10
10: Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.
C. 10a +22
11: A class is given this question on a test about exponents: A squirrel collects 12 nuts an hour for 12 hours on 12 days. Write an expression with and without exponents to find how many nuts the squirrel collected.
Two students provided these answers.
Student A: 123
Student B: 12⋅12⋅12
Student B is correct. Student A only multiplied the number of hours and days (12 x 12) to find the total nuts collected for one day, but didn't multiply it again by 12 to find the total nuts collected for 12 days.