Algebra Cumulative Review Quiz: Conversion and Algebraic Expressions

Conversions

• 1 kilometer is equivalent to 0.621371 miles, so 200 km/hr can be converted to mi/hr by multiplying by this factor
• 1 gallon is equivalent to 60 seconds, so 25 gal/sec can be converted to gallons per minute by multiplying by 60

Algebraic Expressions

• The expression "Twice the difference of 8 and a number x" can be written as 2(8 - x) or 16 - 2x
• The quotient of 4 and the sum of m and n can be written as 4 / (m + n)
• The expression "5 fewer than the sum of 7 and p" can be written as 7 + p - 5 or 2 + p

Linear Equations

• The equation -2y = 5 + 4x can be rewritten as y = -2x - 5/2
• The equation 18 = -3y - 9x can be rewritten as 3y + 9x = -18

Polynomials

• The expression 4x³ ∙ 6x² can be simplified to 24x⁵

Test your understanding of rates conversion and algebraic expressions with this cumulative review quiz. From converting rates like km/hr to mi/min, to writing algebraic expressions for word phrases, this quiz will help reinforce your algebra skills.