Question: Simplify.

−6+{14+2[60−9(1+3)]}

Answer: 56

Question: Simplify.

5/4+4(3/4−1/2)^2

Answer: 3/2

Question: Which expression represents the phrase, “one third the sum of 12 and a number”?

Answer: 1/3 (12+x)

Question: The Garza family drives to a state park. The remaining distance, in miles, to reach the state park is 285−60x, where x represents the number of driving hours.What does each part of the expression represent?Drag the answer into the box to match each part of the expression.

Answer: 285- the total distance to the state park

60x- the number of miles driven after x hrs

60- the number of miles driven after 1 hr

Question: The length of a rectangle is 2 units shorter than one-fifth of the width, x.

Which expression represents the perimeter of the rectangle?

Answer: 12x/5-4

Question: Cindy’s age, x, is 3 times her age 6 years ago.

Which equation represents the statement?

Answer: x=3(x-6)

Question: The product of a number, x, and six is four more than the product of the number and three-eighths.

Which answer represents this situation?

Answer: 6x=3/8x+4

Question: Allen works 8 hours per day and earns $10 per hour. Ben works 4 hours each day and earns the same amount as Allen.

How much money does Ben earn each hour?

Drag the steps in the correct order to solve the problem.

Answer: identify- ben’s wage is the unknown

strategize- let x= ben’s unknown wages

set up- 8(10)=4(x)

solve- x=20

check- 8(10)=4(20)

Question: The next train will arrive in 32 minutes and 30 seconds.

In how many seconds will the next train arrive?

Answer: 1,950 seconds

Question: A machine factory produces 2 parts per second. One shift is 10 hours long.

What is the production rate in parts per shift?

Enter your answer in the box.

Answer: 72000 parts per shift

( don’t add the “,” you would normally add !! )