DCP 3 Practice Test

What is the value of the expression shown?

4 + (-3)³

• 13

• -23

• -13

• -5

Tags

6.7(A)

Alexis has the following expression:

2 n + 2 n

Which of the following is not an equivalent expression?

• A. 4n

• B. n + n + n + n

• C. 3n + n

• D. 6n- n

Tags

6.7 (C)

Which of the following is an algebraic equation?

• A. 8x - 3

• B. 8x + 3

• C. 8x - (-3)

• D. 8x - 3 = 6

Tags

6.10(B)

Which equation is not true?

• -4 + (-3) = -7

• -8(2)= -16

• -12 ÷ (-3)= -4

• 3 - (-2) = 5

Tags

6.3(D)

Mr. Rex wrote the prime factorization of 120 on the board. Two factors are missing. Drag and drop the correct factors to correctly complete the factorization.

​ (a)   ⋅ ​ ​ ​ (b)   ⋅ ​ (c)  

• 2³
• 5
• 3

Tags

6.7(A)

Two expressions are shown. The second expression is not complete.

Expression I: 200r -(-110)

Expression II: _ + 200r

What number belongs in the box so that Expression I is equivalent to Expression II?

Which two expressions are equivalent?

• A. 43x + (-18) and 18 + 43x

• B. 50x - (-16) and 16 + 50x

• C. 33x - (-19) and -19 + 33x

• D. 75x - 4 and

  4 + 75x

Tags

6.7(A)

Sofia is playing a card game. She chooses five cards. The value of each card is shown.

First card: -15

Second card: 7

Third card: -8

Fourth card: -10

Fifth card: 2

What is the sum of the values of Sofias five cards?

Mathematical Equivalence

ON

1. Terri has no more than 30 students at  her daycare. Shelby puts 10 students in daycare with Terri.  The inequality shown can be used to find x the number of students Terri can have in her class in addition to Shelby’s students. 

x + 10 ≤ 30 

Which inequality represents all the possible values of x?

• A. x ≥ 20

• B. x ≤ 20

• C. x ≥ 40

• D. x ≤ 40

Tags

6.10(A)

3. The area of a rectangular deck is 680 square feet. The deck’s width is 17 feet. What is its length?

(area of rectangle = b ⋅ h)

• F. 17 feet

• G. 40 feet

• H. 20 feet

• J. 51 feet

Tags

6.10(A)