Exercises
Build confidence in foundational algebra skills with this Algebra Basics Knowledge Test. Solve linear equations, simplify expressions by combining like terms and using the distributive property, multiply binomials, and evaluate expressions through substitution. You will also practice identifying monomials, adding polynomials, finding reciprocals, and factoring difference-of-squares expressions. This quiz is ideal for students reviewing introductory algebra concepts or checking their readiness for more advanced math topics.
Answer the questions below and check the explanation for each answer.
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To solve for xx
Distribute the 2 to get 6x + 8. Subtract 5x from 6x to simplify the expression to x
Use the FOIL method to expand: (First.Outer.Inner.Last.
Combine the like terms 5x and -2x to get 3x. The expression simplifies to 3x + 6.
A monomial is a single term algebraic expression with a constant and/or variable(s. multiplied together. 7x.
Substitute 3 for x
Substitute x with 4 in the equation y = 2(4) + 3, which gives y = 8 + 3 = 11.
Add the coefficients of like terms: (3x^2 + 5x^2 = 8x^2) and (2x + 4x = 6x), resulting in 8x^2 + 6x.
The reciprocal of a fraction a/b is b/a. Thus, the reciprocal of 2/x is x/2.
The expression x^2 - 9 is a difference of squares, which factors as (x + 3)(x - 3).
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