Algebra Mid-Term Review

Which of the following number sets includes $-\sqrt{49}$ ?

• integers

• real numbers

• whole numbers

• rational numbers

The time required to paint a house, t, varies inversely with the number of painters, p. If 6 people can paint the house in 24 hours, which of the following is the equation for this inverse variation?

• $p=4t$
  

• $p=144t$
  

• $p=\frac{4}{t}$

• $p=\frac{144}{t}$

Which of the following is a true statement?

• All natural numbers are integers.

• All integers are whole numbers.

• All whole numbers are natural numbers.

• All real numbers are rational numbers.

The total cost for paperback books varies directly with the number of books purchased. If the total cost of 6 paperback books is $35.94, how much would 20 paperback books cost?

• $3.34

• $10.78

• $119.80

• $215.64

Which property is demonstrated below?

(x + y) + 3 = x + (y + 3)

• associative

• commutative

• symmetric

• substitution

28 − k ≥ 8k - 7(k − 4)

• k ≥0

• Infinitely Many Solutions

• No Solution

• k ≤ 0

Name the property described:
If PQ = RS then RS = PQ

• Reflexive
• Symmetric
• Transitive
• Addition

Evaluate |4 - h|- b if b= -3 and h= 6

• -1

• 1

• 5

• 13

Solve the following:
(2 + 7 - 1) ÷ 2²

• 16
• 2
• 72.25
• 8.75

Translate this phrase into an algebraic expression.
Two times the difference of some number and eleven.  

• 2t - 11
• 2(t - 11) 
• 2(t / 11)
• 2 x t - 11