Unit 10 Practice Problem Check

1. 1. The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change when paying with a $50. 50 − (14 + 12 + 2(5) + 2(2) + 3) What amount of change in dollars should the customer receive?

• $4

• $26

• $29

• $7

2. 2. The given expression can be used to calculate how much popcorn was left over after the 6th graders went to the movies. The movie started with 200 pounds of popcorn. 200 − (15 + 2 + 4(9) − 20 ÷ 5) How many pounds of popcorn was left at the end of the movie?

• 193.4 pounds

• 151 pounds

• 49 pounds

• 6.6 pounds

3. 3. What is the value of the expression shown? 35 − (− 110) ÷ 5 · 2

• − 9

• 46

• 79

• − 30

4. 4. Samantha wrote an expression on the board that is equivalent to (- 5 · 2) - 12 ÷ 3. Which expression could be the one that Samantha wrote?

• -22 ÷ 3

• 6 · (2 - 5) + 8 ÷ 2

• (6 + 2) · 3 - 40 ÷ 4

• - 5² - 12 ÷ 3

5. 5. A numeric expression is shown. Which value is equivalent to the expression shown?

• 19

• -11

• 7

• -14

6. 6. Leon wrote an expression that is equivalent to (30 + 6) ÷ 12. Which expression could be the one Leon wrote?

• 36 ÷ 3 · 4

• (3 · 3 · 4) ÷ 4 · 3

• 5 · 6 + 2 · 3 ÷ 3 · 2 · 2

• (3 · 3 · 2 · 2) ÷ (3 · 2 · 2)

7. 7. Mr. Gonzales showed students part of the prime factorization of 175. One factor is missing. What number completes this prime factorization? Record your answer in the box below.

8. 8. Keith wrote the expression shown to determine the cost in dollars for an upcoming trip. (127.50 − 23.50) + 3(86.50 + 4) Which expression is equivalent to the one Keith wrote?

• 107(90.50)

• 101(90.50)

• 104 + 3(90.50)

• 104 + 263.50

9. 9. Which pair of expressions are equivalent?

• 3 + 5a + (−5) and 3 + a

• 2a + 1/5(5a) and 2a + 1

• −1/8(−8a) and −a

• 3a + 8a + (−8a) and 3a

10. 10. Which expression is NOT equivalent to 1/2 · (x − 6)?

• 1/2 x − 6

• 1/2 x − 6/2

• x/2 − 3

• x−6/2