•   Algebra
•   Objective: Exploring equations and expressions
•   Level 5

The keywords for each question in this search are:

Question 1: Equation
Question 2: Linear equation
Question 3: Linear equation; inequalities
Question 4: Algebraic expression
Question 5: Linear equation
Question 6: Algebraic expression
Question 7: Algebraic expression; substitution
Question 8: Linear equation
Question 9: Algebraic expression
Question 10: Algebraic expression
Question 11: Algebraic expression
Question 12: Algebraic expression
Question 13: Equation
Question 14: Algebraic expression
Question 15: Algebraic expression; substitution
Question 16: Linear equation

Which one of the following is FALSE when a, b, and c are different real numbers?

(A)   (a + b) + c = a + (b + c)
(B)   ab = ba
(C)   a + b = b + a
(D)   (ab)c = a(bc)
(E)   a - b = b - a

Peter bought 70 items and Sue bought 90 items. Each item cost the same and the items cost $800 altogether. How much did Sue pay?

Answer: Sue paid __________

< 7 is equivalent to

(A)   x <

(B)   x < 5

(C)   x < 14

(D)   x > 5

(E)   x > 14

Which of these expressions is equivalent to y³?

(A)   y + y + y

(B)   y × y × y

(C)   3 y

(D)   y² + y

Brent wanted to find three consecutive whole numbers that add up to 81.
He wrote the equation (n - 1) + n + (n + 1) = 81. What does the n stand for?

(A)   The least of the three whole numbers
(B)   The middle whole number
(C)   The greatest of the three whole numbers
(D)   The difference between the least and greatest of the three whole numbers

Glen has 5 fewer hats than Maria, and Clarissa has 3 times as many hats as Glen. If Maria has n hats, which of these represents the number of hats that Clarissa has?

(A)   5 - 3n
(B)   3n
(C)   n - 5
(D)   3n - 5
(E)   3(n - 5)

If x = 2, what is the value of ? __________

Find x if 10x - 15 = 5x + 20 __________

Subtract: =

(A)

(B)   2

(C)   x

(D)

(E)

If m represents a positive number, which of these is equivalent to m + m + m + m?

(A)   m + 4

(B)   4m

(C)   m⁴

(D)   4(m + 1)

Which of these expressions is equivalent to n ´ n ´ n for all values of n.

(A)

(B)   n + 3

(C)   3n

(D)   n3

For all numbers k,
k + k + k + k + k can be written as

(A)   k + 5

(B)   5k

(C)   k⁵

(D)   5(k + 1)

Which of the following is true when a, b, and c are different real numbers?

(A)   a - b = b - a
(B)   a(b - c) = b(c - a)
(C)   b - c = c - b
(D)   ab = ba
(E)   ab - c = ac - b

If k represents a negative number, which of these is a positive number?

(A)   k2

(B)   k3

(C)   2k

(D)

If x = 3, what is the value of ?

Answer: __________
  

Find the value of x if 12x - 10 = 6x + 32

Answer: __________