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Test #2 Review

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

Solve.


3x + 2 < x - 4

a)

x > -3

b)

x > 3

c)

x < 3

d)

x < -3

2.

List in ascending order.

5/4, 56%, 1.07, 4/5

a)

5/4, 56%, 1.07, 4/5

b)

1.07, 4/5, 5/4, 56%

c)

56%, 1.07, 4/5, 5/4

d)

56%, 4/5, 1.07, 5/4

3.

Jerry has a new job and earns a salary of $45,000. Victoria has a job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find y, the number of years it will take Jerry to earn the same salary as Victoria?

a)

2,500y + 54,000 = 45,000 + 1,500y

b)

54,000 + 1,500y = 45,000 + 2,500y

c)

45,000 + 1,500y = 54,000 + 2,500y

d)

1,500y + 54,000 = 45,000y + 2,500

4.

Which inequality represents the scenario?


Jessica’s fish tank holds 180 gallons of water and is leaking at a rate of 8 gallons per day (d). Justin’s fish tank holds 160 gallons of water and is leaking at a rate of 6 gallons per day (d). On which day will Justin's tank have less water than Jessica's?

a)

180 - 8d ≥ 160 - 6d

b)

160 + 6d < 180 + 8d

c)

160 - 6d < 180 - 8d

d)

180 - 8d = 160 - 6d

5.

Write the equation that is represented by the model.

a)

-3x +10 = -5x - 8

b)

-x + 10 = x + 8

c)

-3x + 10 = 5x - 8

d)

3x +10 = 5x + 8

6.

⅛ < x < 27%


Which value will NOT make the inequality true?

a)

1/6

b)

1/3

c)

0.23

d)

√0.04 (square root of 0.04)

7.

Solve for k.


13k + 41 = 4k + 5

a)

k = -4

b)

k = 5.1

c)

k = 0.4

d)

k = -5.1

8.

Two eighth-grade classes are selling raffle tickets to raise money. One class is selling tickets for $2.50 each and has already raised $350. The other class is selling tickets for $3.00 each and has already raised $225.

Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

a)

3.00t – 350 = 2.50t + 225

b)

2.50t – 350 = 3.00t + 225

c)

3.00t + 350 = 2.50t + 225

d)

2.50t + 350 = 3.00t + 225

9.

Which inequality is represented by the model?

a)

-5x + 4 = 4x - 2

b)

-4x - (-2) > -5x + 4

c)

5x +4 > -4x - 2

d)

-4x - 2 < -5x + 4

10.
Arrange in Descending Order: .80%, 3/4, .5
a)
.80%, 3/4, .5
b)
3/4, .80%, .5
c)
.80%, .5, 3/4
d)
3/4, .5, .80%
11.

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides.

Which equation can be used to find t, the number of tickets that need to be purchased so that the price is the same for both carnivals?

a)

0.65t + 5 = 0.45t + 10

b)

0.45t + 5 = 0.65t + 5

c)

5t + 0.45 = 10t +0.65

d)

5t + 0.65 = 10t + 0.45

12.

Bob is planning on taking his dog to get a treat. Petco charges $2.00 for each bag of dog biscuits. Pet Smart charges $2 for the first bag and $1.50 for each additional bag of dog biscuits. How many bags of dog biscuits does Bob need to purchase so that the cost at Petco is less than the cost at Pet Smart?

a)

x < 1.75

b)

x > 4

c)

x < 4

d)

x > 1.75

13.

Which value will make this inequality true?


34% < x < ⅔

a)

67%

b)

0.82

c)

3/10

d)

0.33

14.

Solve for x.


x – 19 = –3x + 5

a)

x = -6

b)

x = 7

c)

x = -7

d)

x = 6

15.

Which situation can be modeled by the inequality

10x + 75 > 6.50x +120?

a)

Membership at Gym A costs $120 down plus $6.50 per month. Gym B charges $10 down plus $75 per month. After how many months will Gym A cost less in total than Gym B?

b)

Membership at Gym A costs $120 down plus $6.50 per month. Gym B charges $10 down plus $75 per month. After how many months will Gym B cost less in total than Gym A?

c)

Talla has $75.00. Her brother Caleb has $120. Talla saves $10 per week. Her brother saves $6.50 per week. After how many weeks will Talla have more money than Caleb?

d)

Talla has $75.00. Her brother Caleb has $120. Talla saves $10 per week. Her brother saves $6.50 per week. For how many weeks will Talla have less money than Caleb?

16.

Combine like terms.


23e – e + 8 = 2e – 12

a)

24e + 8 = 2e - 12

b)

20e - 4

c)

22e + 8 = 2e -12

d)

-24e + 8 = 2e - 12

17.

Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour.

What is h, the number of hours that Brody would have to ride his bicycle to travel the same distance both days?

a)

7h = 10h + 1

b)

7h + 1 = 10h

c)

7 + 1h = 10h

d)

7h = 10 +1h

18.
Arrange in Ascending Order: 1.445, 3/2, 140%
a)
140%, 3/2, 1.445
b)
1.445, 3/2, 140%
c)
140%, 1.445, 3/2
d)
3/2, 140%, 1.445
19.

There are two magicians performing in the town center. Mystical Matt makes $40 per hour. Sleight Hand Hank gets paid $50 per hour, but he has to pay a $30 setup fee. After how many hours will Mystical Matt make more money than Sleight Hand Hank?

a)

x < 3

b)

x < -3

c)

x > 3

d)

x > -3

20.

Write the inequality that represents the scenario.


Taxi Company A charges $8 to get in the cab, and $0.75 each mile. Company B charges $3 to get in the cab and $1.25 each mile. For how many miles would the cost of Company A be more expensive than Company B?

a)

8 + 0.75 > 3 + 1.25

b)

8x + 0.75 > 3 + 1.25x

c)

8 + 0.75x > 3 + 1.25x

d)

8 + 0.75x > 3x + 1.25