Algebra Pre-Test Flashcards

Sequence and Patterns

• The sequence 3, 7, 11, 15, 19 follows an arithmetic pattern with a common difference of 4.
• The next two terms in the sequence are 23 and 27.

Basic Operations with Integers

• Adding a negative: 5 - (-2) results in 7.
• Subtracting integers: -2 - 5 equals -7.

Multiplication of Integers

• The product of two negative integers: (-3)(-6) equals 18.

Order of Operations

• Applying the order of operations to the expression 3(7 + 4 x 2) - 100 yields -55.

Simplifying Algebraic Expressions

• Simplify (2a - 3b) - (5a - 7b) to get -3a + 4b.

Solving Linear Equations

• To find w in the equation w - 4 = 3, the solution is w = 7.
• For the equation 3d + 2 = 23, solving gives d = 7.
• In the equation 11m + 2 = 9m - 18, m solves to -10.
• The equation 3 - 4x = 5( x + 6) simplifies to x = -5.

Evaluating Algebraic Expressions

• When x = 5 for the expression (x - 3)² + 2x - 4, the result is 10.

Algebraic Expressions

• The sum of n and 9 can be expressed as n + 9.
• The quotient of j and 8 is written as j/8.
• The product of g and 4 can be represented as 4g.

Word Phrases in Algebra

• The expression 5x + 2 can be described as "the sum of five times a number x and two."