Real Number System
Expressions and Inequalities
Equations
Polynomials
Factoring
100
Classify ∏ as a rational or an irrational number.
What is irrational.
100
Write as a variable expression: a number times 11.
What is 11x.
100
Which is an example of an equation: (2x + 1)(x - 7) or 4x - 1 = 7
What is 4x - 1 = 7.
100
What is the sum of x² - 3x + 7 and 3x² + 5x - 9?
What is 4x² + 2x - 2.
100
Factor: x² - 64.
What is (x + 8)(x - 8).
200
Which property is illustrated by the equation a(x + y) = ax + ay?
What is distributive.
200
A correct translation of "six less than twice the value of x" is
What is 2x - 6.
200
If h represents a number, which equation is a correct translation of "Sixty more than 9 times a number is 375"?
What is 9h + 60 = 375.
200
The expression (3x² + 2xy + 7) - (6x² - 4xy + 3) is equivalent to
What is -3x² + 6xy + 4.
200
Factor: x² - 4x - 21.
What is (x - 7)(x + 3).
300
Which interval notation represents the set of all numbers from 2 through 7, inclusive?
What is [2,7].
300
Mrs. Smith wrote "Eight less than three times a number is greater than fifteen" on the board. If x represents the number, which inequality is a correct translation of this statement?
What is 3x - 8 > 15.
300
Which value of x is the solution of 5x - 1 = 2x + 20
What is x = 7.
300
What is the product of (3x + 2) and (x - 7)?
What is 3x² - 19x - 14.
300
Factor completely: 4x³ - 36x
What is 4x(x + 3)(x - 3).
400
If the universal set is {pennies, nickels, dimes, quarters}, what is the complement of the set {nickels}?
What is {pennies, dimes, quarters}.
400
What is the solution of the inequality -6x - 17 ≥ 8x + 25?
What is x ≤ -3 or -3 ≥ x.
400
What is the value of x in the equation 2(x - 4) = 4(2x + 1)?
What is -2.
400
Divide: 8x²y⁴ + 8x²y + 2xy by 2xy
What is 4xy³ + 4x + 1.
400
Find the roots of the equation x² = 30 - 13x algebraically.
What is -15, and 2.
500
Given: A = {3, 6, 9, 12, 15} B = {2, 4, 6, 8, 10, 12} What is the union of sets A and B?
What is {2, 3, 4, 6, 8, 9, 10, 12, 15}
500
A prom ticket at Smith High School is $120. Tom is going to save money for the ticket by walking his neighbor's dog for $15 per week. If Tom already has saved $22, what is the minimum number of weeks Tom must walk the dog to earn to pay for the prom ticket?
What is 7 weeks.
500
Alison spent $17 at an amusement park for admission and rides. If she paid $5 for admission, and rides cost $3 each, what is the total number of rides that she went on?
What is x = 4 rides.
500
Simplify: 27a⁵b⁸ divided by (4a³)(9b³2).
What is 3a²b⁶ divided by 4.
500
Find three consecutive positive even integers such that the product of second and third integers is twenty more than ten times the first integer.
What is 6, 8, 10.
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