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CQA 1 review

Total questions: 50

Worksheet time: 3hrs 14mins

Name

Class

Date

Which integer represents a 5 yard loss?

∣5∣

∣-5∣

-5

Which value of q makes –15 – (–9) = q a true sentence?

-24

-6

Ishi has $24 in his wallet. He pays $8 to have his car washed. Which expression represents this situation?

–24 + (–8)

–24 + 8

24 + (–8)

24 + 8

The average daytime temperature on Venus is 870°F. The average temperature on Jupiter is –160°F. What is the difference between the average temperatures on Venus and Jupiter?

710°F

730°F

1,030°F

1,050°F

Two climbers started at the same point partway up a mountain side. Climber A traveled 162.5 meters up the mountainside. Climber B traveled 212.5 meters down the mountain side. How far away are the climbers?

50 m

187.5 m

375 m

750 m

Three friends are sharing a watermelon. Kayla ate 3/12 of a watermelon, Jordyn ate 1/12 of the watermelon, and April at 1/4 of the watermelon. How much of the watermelon did they eat total?

6/12

7/36

4/12

7/12

Pam walks 3/4 of a mile to school. Paul walks 1/8 of a mile to school. How much farther does Pam walk than Paul?

5/8 mile

4/8 mile

1 3/8 mile

3/4 mile

A car can travel 3/8 of a mile in 2/5 of a minute. At what rate does the car travel in miles per minute?

3/20 miles per minute

31/40 miles per minute

1/40 miles per minute

15/16 miles per minute

What can be said about the product of (-2 1/3)(-1/4)?

The product is a rational number less than -1

The product is a rational number between -1 and 0

The product is a rational number between 0 and 1

The product is a rational number greater than 1.

10.

Which set of numbers has a positive product?

(-5)(2)(0)

(-2)(-1)(4)(-5)

(-6)(-3)(-1)(-2)

(-1)(-1)(-3)

11.

John is playing a card game with his family. After the first five rounds his score was 0. Which of the following could represent his possible scores for each round?

+14, -20, +6, -15, +10

+10, +3, +9, -7, 0

+12, -15, +3, 0, +4

+15, +5, -10, +3, -13

12.

Fill in the blank:
The fraction -3/-5 is ___________
the fraction -3/5.

equivalent to

opposite of

reciprocal of

neither

13.

$\left(\frac{1}{5}x+2\right)-\left(\frac{3}{5}x-2\right)$ Simplify the following expression

$-\frac{2}{5}x+4$

$-\frac{2}{5}x$

$\frac{4}{5}x+4$

$\frac{4}{5}x$

14.

$x+5-3x+4$ simplify the following expression

-2x+9

-2x+1

4x+9

4x-1

15.

$2\left(2x+4\right)-5x$ Simplify the following expression

9x+8

4x+8

-x+8

-x+12

16.

Factor the following.

9x-12

3(3x-4)

3(3x+4)

-3(3x+4)

-3(3x-4)

17.

Solve for b:
-11 + 3(b + 5) = 7

b = 1

b = -1

b = 3

b = -3

18.

Solve for x:

2x -1(3+4x) = 11

x = -4

x = 7/3

x = -7

x = -17/8

19.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a = 27

a = -27

a = 3.86

a = 1.67

20.

Solve for k:

38 + 7k = 8(k + 4)

k = 6

k = 8

k = -6

k = 1

21.

Solve for n:
n+2=-14-n

-8

22.

Which equation below has no solution

2(x + 4) = 3x - 1

2x = -2x +2

2(x-4) = 2x + 8

2(x +4) = 2x +8

23.

$\frac{1}{5}\left(x+5\right)=\frac{1}{5}x\ +1$ What is true about the given equation?

There is one solution. It is x = 5

There is one solution. It is x = 1

There is no solution

There are infinite solutions

24.

$2\left(x+3\right)+x\ =\ 3x\ -1\$ What is true about the equation below?

There is one solution. It is x = 7/2

There is one solution it is x = -1

There is no solution

There are infinite solutions.

25.

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

1500 + 8t = 12

12 + 8t = 1500

1500 + 8t = 12t

8t = 12t + 1500

26.

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

4x=472

9x=472

4+9x=472

4+x=472

27.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

4 boxes

5 boxes

6 boxes

7 boxes

28.

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

4 cabins

44 cabins

59 cabins

74 cabins

29.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

30.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

.50x + 20 = 35

.50x = 35

.50 + 20x = 35

.50x - 20 = 35

31.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

18 miles

20 miles

22 miles

32.

The first play of a football game resulted in a loss of 12 yards. Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?

a gain of 7 yards

a loss of 7 yards

a gain of 17 yards

a loss of 17 yards

33.

Which of the following inequalities would require you to flip the sign when solving?

2x < 3

3x > - 9

-4x ≥ 10

5x ≤ 15

34.

Solve the following inequality:
-4x + 14 ≤ 54

x ≥ -10

x ≤ -10

x ≥ 10

x ≤ 10

35.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

10x + 1.50 ≥ 40

1.50x + 10 ≤ 40

1.50x + 10 <40

10x + 1.50 < 40

36.

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

3 + 5.5p < 10

20 = 5.5 - 3p

5.5 + 3p < 20

3p + 5.5 ≤10

37.

Solve:
-4(-7-5x) > 188

x < -32

x > -32

x < 8

x > 8

38.

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

1.75 + 0.65m < 10

1.75 + 0.65m > 10

1.75m + 0.65 < 10

1.75m + 0.65 > 10

39.

Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.

4+ 1.5m <= 7

1.5m - 4 <=7

1.5m - 4>= 7

1.5m + 4 >= 7

40.

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

50 + 3.5x < 71

71 - 3.5x < 50

71 - 3.5x ≤ 50

71 + 3.5x < 50

41.

Which is NOT a possible solution for the inequality 8 + 4x > 24?

42.

A parking garage charges $4.50 for each hour you park. You have $18 in your pocket. How many hours can you park?

x > 4

x < 4

x ≤ 4

x ≥ 4

43.

Sam make $10.25 per hour working at Cheddars. He plans to buy a laptop for $550. Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

10.25h < 550; less than 54 hours

10.25h > 550; greater than 54 hours

10.25h ≤ 550; at most 54 hours

10.25h ≥ 550; at least 54 hours

44.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

125x + 55 ≤ 600

125x + 55 ≥ 600

125x + 55 > 600

125x + 55 < 600

45.

Solve the inequality.
x + 5 ≤ 13

x ≥ 8

x ≥ 18

x ≤ 8

x ≤ 18

46.

Match the graph with its inequality.

11 < a

11 > a

11 ≤ a

11 ≥ a

47.

-4x + 14 ≤ 54

x ≥ - 10

x ≤ -10

x ≥ 10

x ≤ 10

48.

Solve the inequality.

30 + n ≥ 50

n > 50

n ≥ 80

n < 30

n ≥ 20

49.

Is x = 9 a solution to the given inequality.
x > 9

TRUE

FALSE

50.

Is x = 12 a given solution to the inequality.
x > 5

TRUE

FALSE

100 %

CQA 1 review

Total questions: 50

Worksheet time: 3hrs 14mins

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