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Pre-Algebra Midterm Review

1. To make 3 dozen cookies, a recipe calls for 4 eggs and 1/2 cup of chocolate chips.  Ben wants to make 12 dozen cookies for a class picnic.  How many eggs and how many cups of chocolate chips does he need?

(A) 4 eggs, 1 cup chocolate chips (C) 16 eggs, 1 cup chocolate chips

(B) 4 eggs, 2 cups chocolate chips (D) 16 eggs, 2 cups chocolate chips

2. What is the value of the expression 7 + 5 × (-3) − (6 − 2) ÷ 2 ?

(A) -10 (B) -16 (C) -20 (D) -38


3. Tikka made bamboo fishing poles for her sister and herself.  She used of a 10-foot stick of bamboo for her pole and the rest for her sister's.  How long is her sister's fishing pole?

(A) 8 feet (B) 6 feet (C) 4 feet (D) 2 feet
4. The expression is equivalent to
(A) (B) 9 (C) (D) 5

5. Simplify the expression below.

5 + 3 · 2 − 42 ·│−2 │

  (A) 43 (B) 48 (C) −16 (D) −21

6. Which expression is equivalent to |–11| + |–3| ?

(A) 11 + 3 (B) 11 − 3 (C) −11 + −3 (D) −11 + 3

7. Gary and Thomas are playing a game with number cards. At the end of the game, Thomas still has 5 cards. If the value of each card is −50 points, how many points does Thomas have?

(A) −250 (B) −10 (C) 10 (D) 250



8. Karen stacks three boards on top of one another. The first board is  inch thick. The second board is  inch thick. The third board is  inch thick. What is the total thickness, in inches, of all three boards?



(A)   (B)   (C)   (D)  

9. Evan, Brianna, Sue, and Luis painted the outside of a small building. Evan painted  of the building. Brianna painted of the building. Sue and Luis painted the rest of the building, and they each painted the same amount of the building. What fraction of the building did Sue paint?

(A) (B) (C)   (D)  

10. Dora has a pitcher with quart of apple juice. She pours an equal amount of the apple juice into 3 glasses. There is still   quart of apple juice remaining in the pitcher. How much apple juice, in quarts, is poured into each glass?

(A)   (B)    (C)   (D)  

11. Dante is driving 638 miles to his cousin's house. His car has a 12-gallon tank and goes 22 miles for every gallon of gasoline. Dante started with a full tank of gasoline and will fill up the tank when it is empty. How many times will he have to stop for gasoline?



Show your work.

 

 



Answer ______________________

12. Part A

At the bakery, the daily ratio of cookie sales to donut sales is 3 to 4.  Cookies and donuts cost the same amount.  If the bakery earned $225.00 on Tuesday from the sale of cookies, write a proportion that could be used to find the amount of money that came from the sale of donuts on Tuesday.

 

Proportion ______________________




Part B

Use your proportion to find how much money the bakery earned from the sale of donuts on Tuesday.



Show your work.

 

 



Answer $ _______________________

13. The Suez Canal links the Mediterranean Sea to the Red Sea and is 108 miles long.  If a ship is traveling the canal at a speed of

1.5 miles per hour, how many hours will it take to travel the length of the canal?

(A) 72 (B) 90 (C) 110 (D) 162

14. There are 300 students in the eighth grade.  The ratio of girls to boys is 3 to 2.  What percent of the students are boys?

(A) (B) 40% (C) (D) 150%


15. A car traveled 187 miles in 3 hours and 24 minutes.  What was the average speed of the car in miles per hour?

(A) 50 (B) 55 (C) 58 (D) 62


16. The outboard engine on Jimmy's boat uses a fuel-to-oil mixture in a 50:1 ratio.  If Jimmy puts 2.5 gallons of fuel in the tank, how many fluid ounces of oil does he need to add?



Show your work.  Answer ____________________ fluid ounces

17. Sweaters were on sale for 20% off of the original price.  Kelly bought a sweater on sale that had an original price of $32.00.  The sales tax was 7.25%.  How much did Kelly pay for the sweater?



Show your work. Answer $ ________________

18. Part A

In Randi’s school, 5 out of every 7 students ride the bus to school. What percent of students ride the bus? Round your answer to the nearest tenth.

Show your work. Answer ______________________ %
Part B

If there are 350 students in Randi’s school, approximately how many students ride the bus?



Show your work. Answer ______________________  students

19. Amid’s bill at a restaurant was $39.24. He plans to leave a 15% tip for the waiter. In the space below, explain how Amid can ESTIMATE the amount for the tip.

20. Sam typed 420 words in 10 minutes. If he continues to type at this rate, how many words will he have typed in 3 hours?

(A) 756 (B) 1,260 (C) 2,520 (D) 7,560

21. Silvia hiked a 30-mile trail in 3 days. The first day, she hiked 50% of the total distance. The second day, she hiked 25% of the distance that remained. How many miles did she hike the third day?

(A) (B) (C) (D)

22. Marilyn's teacher allowed her to take a makeup test.  She scored on the original test and on the makeup test.  By what percentage did Marilyn increase her score?

(A) 4% (B) 20% (C) 30% (D) 52%



23. Tyler wants a pair of shoes that sells for $60.00.  He uses two coupons when he buys these shoes.  One coupon is for a 30% discount and the other coupon is for $10.00 off.  The cashier takes the 30% discount first, and then subtracts $10.00.



Part A

How much does Tyler pay for the pair of shoes?

 

 

Part B



Would the price be different if the cashier had subtracted the $10.00 and then taken the 30% discount?  In the space below, show your work or explain in words.



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