6.EE State Test Practice

6.EE State Test Practice

State Testing Practice

Multiple Choice

Consider the expression.

3(4p - 7)

Which mathematical term describes both 3 and (4p - 7)

• difference

• factors

• quotient

• sum

Multiple Choice

Which expression is equivalent to 8y?

• 8(y + y + y + y + y + y + y +y)

• 7y + y

• 6(2y)

• y * y * y * y * y * y * y * y

Multiple Choice

What is the value of (0.6)^{3 ?}

• 0.216

• 0.9

• 2.16

• 9.0

Multiple Choice

Which expression best represents the phrase, the product of 14 and a number, n ,
divided by 3?

• 3  $$\div$$   14 + n

• 3  $$\div$$  14n

• 14 + n  $$\div$$  3

• 14n  $$\div$$  3

Multiple Choice

A builder uses the expression x² - 2x to model the area of a room with a width of x feet. What is the value of the expression when x = 3?

• 0

• 1

• 3

• 4

Multiple Choice

Consider the two expressions:

EXPRESSION I: 12w + 8 - 2

EXPRESSION 2: 2(5w) + 2w + 6

Which statement is true?

• EXPRESSION 1 is equivalent to EXPRESSION 2 because the two expressions have the same amount of terms.

• EXPRESSION 1 is equivalent to EXPRESSION 2 because the two expressions have the same value regardless of which value is substituted into them.

• EXPRESSION 1 is not equivalent to EXPRESSION 2 because the two expressions do not simplify to equivalent expressions.

• EXPRESSION 1 is not equivalent to EXPRESSION 2 because the two expressions have different coefficients.

Multiple Select

Which value of k make the inequality 3k - 3 > 27 true? Select ALL that apply.

• 8

• 9

• 10

• 11

• 12

Multiple Choice

Which expression is equivalent to 7p + p + 4p + 2p - 6 ?

• 7p

• 8p

• 13p - 6

• 14p - 6

Multiple Choice

A landscaper spends $132.25 on 5 shrubs. If each shrub costs the same amount, s, which statement is true?

• The equation 5s = 132.25 models this scenario, and the landscaper spends $26.45 on each shrub.

• The equation 5s = 132.25 models this scenario, and the landscaper spends 126.25 on each shrub.

• The equation 5 + s = 132.25 models this scenario, and the landscaper spends $26.45 on each shrub.

• The equation 5 + s = 132.25 models this scenario, and the landscaper spends $126.25 on each shrub.

Multiple Choice

A student uses the Distibutive Property to rewrite 49 + 14. Which expression could the student use?

• 7(7 + 2)

• 7(7 + 14)

• 7(42 + 7)

• 7(42 + 14)

Multiple Select

Which expressions are equivalent to 5(3x + 8)? Select ALL that apply.

• 5(3x) + 5(8)

• 5(11x)

• 8x + 13

• 15x + 40

• 15x + 5(8x)

Multiple Choice

Consider the number set: 11, 12, 13, 14

Which value of x in the number set makes the equation 3x + 2x - 45 = 20 true?

• 11

• 12

• 13

• 14

Multiple Choice

Danielle has a container full of marbles. She gives away some of her marbles every day for 5 days. Each day, she has  $$\frac{1}{4}$$   the number of marbles she had the previous day.  What fraction of the original number of marbles does Danielle have left after 5 days?

• $$\frac{1}{1024}$$  

• $$\frac{1}{256}$$  

• $$\frac{1}{20}$$  

• $$\frac{1}{4}$$  

Multiple Choice

A printer prints at a constant rate of 40 pages per minute. If m represents the number of minutes, and p represents the total number of pages printed, which equation correctly represents the relationship?

• p = 40 * m

• p = 40 $$\div$$ m

• p = m + 40

• p = m $$\div$$ 40

Multiple Choice

A tutor charges a flat rate of $5 to drive to astudent's house and $50 per hour of tutoring. Which expression represents how much the tutor earns tutoring a student for x hours?

• 5x + 50

• 45x

• 50x + 5

• 55x

Multiple Choice

What is the value of 8/2 x 3²?

• $$\frac{2}{9}$$

• $$\frac{4}{9}$$

• 36

• 144

Multiple Choice

Decide if the statement about the expression 2x - 8 is true or false.

The number 2 is not a coefficient in the expression.

• True

• False

Multiple Choice

Decide if the statement about the expression 2x - 8 is true or false.

The expression has three terms.

• True

• False

Multiple Choice

Decide if the statement about the expression 2x - 8 is true or false.

The variable in the expression is x.

• True

• False

Multiple Choice

Decide if the statement about the expression 2x - 8 is true or false.

The number 2 is a constant in the expression.

• True

• False

Multiple Choice

Savannah has a box of nails for two projects. She uses 18 nails for the first project.

Savannah lets n represent the original number of nails and finds that for the second project, the number if bauks sge yses us 10 more than half the difference of n and 18.

Which expression represents the number of nails she uses for the second project?

• $$\frac{1}{2}$$ n - 18 + 10

• $$\frac{n\ -\ 18}{2}$$ + 10

• $$\frac{n\ -\ 18\ +\ 10}{2}$$

• $$\frac{1}{2}$$ (n + 18) + 10

Multiple Choice

Which statement is true about the expression 4(9 + 6)?

• The expression has one variable.

• The expression has two factors.

• The expression has three coefficients.

• The expression has two variable terms.

Multiple Choice

Select true or false.

3.4 * 3.4 * 3.4 * 3.4 = 3.4⁴

• True

• False

Multiple Choice

Decide if the equation is true or false.

(5/8)² = 25/64

• True

• False

Multiple Choice

Decide if the equation is true or false.

10 x 10 x 10 = 3 x 10

• True

• False

Multiple Choice

Decide if the equation is true or false.

7⁶ = 7 x 7 x 7 x 7 x 7 x 7

• True

• False

Multiple Choice

Decide if the equation is true or false,

100/225 = (20/45)⁵

• True

• False

Multiple Choice

Which expression represents "Two less than seven times a number"

• 2 - 7x

• 2x - 7

• 7x - 2

• x² - 2

Multiple Choice

Which expression represents "Twice the difference of a number and seven"?

• 2(7 - x)

• 2(x - 7)

• 2x - 7

• (7 - x)²

Multiple Choice

Which expression represents "Seven from a number squared"?

• 7 - x²

• x² - 7

• (7 - x)²

• 2 - 7x²

Multiple Choice

What is the value of   9(n + 2) - 5n   for    n = $$\frac{1}{4}$$  ?

• 3

• 9

• 10

• 19

Multiple Select

Which expressions equal 9 when x = 4 and y = 1/3? Select ALL that are correct.

• 3x - 9y

• 5(x/2) - 3y

• 2x + 3y

• x² + 6y

• y² - 21x

Multiple Choice

Which expression is equivalent to 10(5 + n)?

• 5n + 10n

• 50n

• 50 + n

• 50 + 10n

Multiple Select

Caden states that n² + 3n + 2n is an equivalent expression to 6n.

Why is Caden's statement incorrect? Select ALL that apply.

• Because when you substitute 4 for n in both expressions, n² + 3n + 2n has a value of 36, and 6n has a value of 24. These values are not equal.

• Because n² + 3n + 2n simplifies to 7n, which is not equivalent to 6n.

• Because n² + 3n + 2n simplifies to n(n + 5), which is not equivalent to 6n.

• Because n² + 3n + 2n simplifies to n² + 5, which is not equivalent to 6n.

• Because when you substitute 1 for n for both expressions, n² + 3n +2n has a value of 7, and 6n has a value of 6. These values are not equal.

Multiple Choice

Choose an expression that is equivalent to (4 x 8) + (4 x n).

• 8n + 4

• 8(n + 4)

• 4(8 + n)

Multiple Choice

Choose an expression that is equivalent to n(8 + 4).

• (n x 8) + ( n x 4)

• 8n + 4

• 8n + n

• 8(n + 4)

Multiple Choice

Choose an expression that is equivalent to (8 x n) + (8 X 4).

• 8n + 4

• (n X 8) + (n X 4)

• 4(8 + n)

• 8(n + 4)

Multiple Select

Which values are solutions of 4x > 35? Select ALL that are correct.

• -15

• 12

• 8 $$\frac{3}{4}$$

• 5 $$\frac{1}{2}$$

• 10

Multiple Select

Which statements show equivalent expressions?

Select ALL that are correct.

• b + 2b + b² +2b² = 3b² + 3b

• 16n - 2 + 9n = 2(8n - 2) + 9n

• 6x(2x - 5) = 12x² - 30 x

• 5(3 - 2y) = 15 - 2y

Multiple Select

Determine which numbers are solutions of the inequality. Select ALL that apply.

x < 7.

• 0

• 7 $$\frac{3}{4}$$

• 20

• 5.25

• 6 $$\frac{1}{4}$$
  
  
  

Multiple Select

Determine which numbers are solutions of the inequality.

• 7 $$\frac{3}{4}$$

• 20

• 5.25

• 3

• 
  6 $$\frac{1}{4}$$