Algebra Cumulative Review Quiz: Conversion and Algebraic Expressions

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AmbitiousMercury
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8 Questions

200 km/hr → mi/______

min

25 gal/sec → ______/min

L

Twice the difference of 8 and a number x.

2(8 - x)

The quotient of 4 and the sum of m and n.

4 / (m + n)

5 fewer than the sum of 7 and p.

p+2

−2𝑦 = 5 + 4𝑥

−2𝑦 = 4𝑘 + 5

18 = −3𝑦 − 9𝑥

−3𝑦 = -9x + 18

4𝑥 3 ∙ 6𝑥 2

24𝑥^5

Study Notes

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.

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