Semester 1 Review

Integers

100

At 11:15 p.m., the temperature in Colorado was -9 degrees. Four hours earlier, the temperature was 37 degrees warmer. What was the temperature at 7:15 p.m.?

28 degrees

200

A fish is a depth of -4.7 feet in a lake. The fish swims 1.3 feet toward the surface of the lake. How much farther does the fish need to swim before it reaches the surface of the lake. 

3.4 feet

300

A penguin dove 11 meters below sea level to catch dinner for his kids, who are sitting on an iceberg 18 meters above sea level. 

What is the difference in elevation between the penguin and his kids?

29 meters.

400

Cody went to a movie with $50.00. The ticket cost $8.75, and he spent $5.63 on snacks. How much money did Cody have left over?

$35.62

500

Rachel has a landscaping business. She charges $8.25 for 1/2 hour of work. At the end of one week, she used some of her earnings to buy supplies. The total cost of the supplies was $34.75. After buying the supplies he had $81.50 left from this week's earnings. What was the total amount of hours that terry worked during this week.

7.05 hours

Expressions

100

Translate the following expression: 

A gym charges $60 to join and $27 for each month

$60 + 27x

200

Combine like terms

-7x + 4 -8x - 3 

-15x+1

300

Simplify the expressions: 

3(-7x+4)

5(2x+4)

-21x+12 

10x+20

400

What is the constant, coefficient, and variable in the expression: 

5x + 24

Variable = x

Constant = 24

Coefficient = 5

500

Are the expressions 

7d + 2 + 5d + 10 and 12(d+1) equivalent? 

Make sure you can explain your answer

Yes

Equations

100

Solve: 

5x - 4 = 61 

x=13

200

Solve for x: 

5x = -50

x = -10

300

Solve 

-7x + 4=32

x=-4

400

Kevin has a Christmas Lights business. He charges $4.75 for each 1/2 hour of work.  At the end of one week , he used some of his earnings to buy supplies. The total cost of the supplies was $28.50. After buying the supplies, he had $71.25 left from his earnings. What was the total number of hours that Kevin worked during this week? 

**Hint*** Kevin charges that amount for a 1/2 hour, but it wants your answer as total hours. 

10.5 hours 

500

A truck is used to carry bundles of bricks weighs 7,250 pounds. A bundle of bricks weighs approximately 675 pounds. The truck must cross a bridge that can safely hold no more than 12,000 pounds. Write an inequality that can be used to determine the number of bundles of bricks, x, the truck can safely carry across the bridge. 

675x + 7,250 is less than or equal to 12,000.

Fractions

100

What fractions are equivalent to -6/7? 

A. 6/7

B. -6/-7 

C. 3/-7

D. -(-3/-7)

B and C

200

7 4/9 divided by 2/3

16 3/4

300

Convert 0.8567 into a percentage

85.67%

400

How many 5/16 foot pieces of wood can you cut from a board that is 9 7/16 feet long? 

30 and 1/5 pieces of wood.

500

Nate goes to the mall with $30.00. He buys  a drink for $2.50, and he spent $15.75 at a store. How much money did Nate have left over?

$11.75

Mixed Review

100

Evaluate: 

(-4) x 20 

Is your answer negative or positive?

-80 negative

200

On Friday, the temperature at 10 a.m. at Elizabeth's house was -4 degrees. The temperature at 3 p.m. at Elizabeth's house was 8 degrees. 

From 10 am to 3 PM, did the temperature at Elizabeth's house increase or decrease?

Increase

300

Come up with a situation that can represent: 

1 3/8 times 8 = 11

Answers will vary

400

On Friday, the temperature at 10 a.m. at Elizabeth's house was -4 degrees. The temperature at 3 p.m. at Elizabeth's house was 8 degrees. 

How many degrees did the temperature increase?

12 degrees

500

Connor and Rico both wrote down expressions that represent how much money they earn from raking leaves. 

Connor wrote down 9d + 7 + 3d + 17 

Rico wrote down 6(2d+4) 

Suppose they earn $15 per hour. Will you get a different amount if you evaluate Connor's expression instead of Rico's? How much money did they earn? Be able to explain.

You will get the same amount. 

$204