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6th REDO: 6th ACAP Practice #20 - 33

Total questions: 14

Worksheet time: 40mins

Name
Class
Date
1.

#20: 1. What is the new location of (-4​ , 9) when it is reflected across the x-axis?​ ​ (a)  

  1. 2. What is the new location of (4, 9) when it is reflected across the y-axis?​ (b)  

    1. 3. What is the distance between these 2 locations?​ (c)  

Choose from the below words
(-4, -9)
(-4, 9)
18 units
(4, 9)
8 units
0 units
13 units
2.

#21 In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.

#1 What is the distance from the lobby to the basement? Write your answer as an absolute value statement.​ ​ (a)  

#2 Which is a greater distance from the lobby; the first floor or the basement?​ (b)  

Choose from the below words
18 feet
22 feet
4 feet
40 feet
The basement
The first floor
3.

#22 Which of the following numbers best represents the distance from zero to point P on the number line below?

a)

-1 1/3

b)

-1 2/3

c)

1 1/3

d)

1 2/3

4.

#23 Which equations are true? Select two correct answers.

a)

23=2222^3 = 2 * 2 * 2

b)

34=44443^4 = 4 * 4 * 4 * 4

c)

53=5+5+55^3 = 5 + 5 + 5

d)

16x42=4416 x 4^2 = 4^4

e)

(2+3)2(2 + 3)^2 = 22+322^2 + 3^2

5.

#24 Which of the following expressions represents "subtract 17 from x"?

a)

17 - x

b)

x - 17

c)

-17x

d)

-x - 17

6.

#25 Which phrase is a description of 2m+72m + 7 ?

a)

7 more than 2 times mm

b)

2 more than 7 times mm

c)

2 times the sum of 7 and mm

d)

7 times the sum of 2 and mm

7.

#26 The area of Brian’s rectangular garden, in square feet, can be found by using the expression 6(2x+5y)6(2x + 5y) . Use the distributive property to write an equivalent expression for the area of Brian’s garden.

a)

12x+30y12x + 30y

b)

6x+5y6x + 5y

c)

12x+5y12x + 5y

d)

6x+30y6x + 30y

8.

#27 Which expressions are equivalent to 3m + 2? Select two correct answers.

a)

5m

b)

3 + m + m

c)

2m + m + 2

d)

m + m + m + 2

e)

(m + 2) + (m + 2) + (m + 2)

9.

#28 Write an expression for the situation below. Xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of baskets Xavier made this season. Define the variable you use.

a)

X = J + 22, where X is the number of baskets Xavier made and J is the number of baskets Jared made.

b)

X = J - 22, where X is the number of baskets Xavier made and J is the number of baskets Jared made.

c)

X = 22 - J, where X is the number of baskets Xavier made and J is the number of baskets Jared made.

d)

X = 22 + J, where X is the number of baskets Xavier made and J is the number of baskets Jared made.

10.

#29 Find the solution to the following equation and show your thinking.

#1 (a)  

#2 ​ (b)  

#3​ ​ (c)  

Choose from the below words
x = 20.2

x = 13.4

x = 19.8

x = 23.4

x = 80
x =36
x = 16
11.

#30 Consider this inequality. 2x + 5.5 < 20. Select two values that make the inequality true.

a)

A. 94\frac{9}{4}

b)

B. 192\frac{19}{2}

c)

C. 5

d)

D. 7.25

e)

E. 8.5

12.

#31 The table below shows the amount, in pounds, of snow that Andy can remove over time using a shovel. What is the amount, in pounds, of snow that Andy can remove in 5 minutes using a shovel?

a)

4000 pounds

b)

40 pounds

c)

400 pounds

d)

4 pounds

13.

#32 Shelly ran 20 minutes and burned 130 calories. Which equations can be used to find the average number of calories, c, burned per minute? Select two correct answers.

a)

B. 20c = 130

b)

E. c/130 = 20

c)

A. 130c = 20

d)

D. c = 130 ÷ 20

e)

C. c = 20 ÷ 130

14.

#33 A shelf has four books on it. The weight, in pounds of each of the four books on the shelf is listed below. 2.5 3.2 2.7 2.3 Which inequality represents the weight, w, of any book chosen from the shelf?

a)

w > 2.3

b)

w < 2.4

c)

w > 3.2

d)

w < 3.3