Lesson Worksheet: Writing and Evaluating Algebraic Expressions Mathematics • 7th Grade

In this worksheet, we will practice writing algebraic expressions and evaluating them for specific values of their variables.

Q1:

Evaluate π‘š+π‘˜, given that π‘š=7 and π‘˜=15.

Q2:

Consider the shown trapezoid.

Write an expanded expression for its area. Simplify the expression, if possible.

  • A6π‘Ž+4
  • Bπ‘Ž+5π‘ŽοŠ¨
  • Cπ‘Ž+4
  • Dπ‘Ž+5π‘Žβˆ’4
  • Eπ‘Žβˆ’5π‘Ž+4

The given trapezoid is the cross section of a prism of length 2π‘Žβˆ’5. Write an expanded expression for the volume of the prism. Simplify the expression, if possible.

  • A2π‘Žβˆ’15π‘Ž+33π‘Žβˆ’20
  • B2π‘Ž+5π‘Žβˆ’13π‘Žβˆ’4
  • C5π‘Žβˆ’13π‘Žβˆ’4
  • D2π‘Ž+5π‘Žβˆ’13π‘ŽοŠ©οŠ¨
  • E2π‘Žβˆ’13π‘Žβˆ’4

Q3:

Consider the shown trapezoid.

Write an expanded expression for its area. Simplify the expression, if possible.

  • A6π‘Ž+4
  • Bπ‘Ž+5π‘ŽοŠ¨
  • Cπ‘Ž+4
  • Dπ‘Žβˆ’5π‘Ž+4
  • Eπ‘Ž+5π‘Žβˆ’4

The given trapezoid is the cross section of the given prism of length 2π‘Žβˆ’5.

Write an expanded expression for the volume of the prism. Simplify the expression, if possible.

  • A2π‘Žβˆ’13π‘Žβˆ’4
  • B2π‘Ž+5π‘Žβˆ’13π‘Žβˆ’4
  • C5π‘Žβˆ’13π‘Žβˆ’4
  • D2π‘Žβˆ’15π‘Ž+33π‘Žβˆ’20
  • E2π‘Ž+5π‘Žβˆ’13π‘ŽοŠ©οŠ¨

Q4:

Evaluate π‘šΓ—5 if π‘š=7.

Q5:

Given that a day consists of 24 hours, write an expression that relates the number of days in terms of hours, and then determine how many hours there are in 3 days.

  • A24(𝑛+1), 96 hours
  • B24𝑛, 72 hours
  • C24𝑛, 144 hours
  • D24+𝑛, 27 hours
  • E24+𝑛, 21 hours

Q6:

What is the area of a square of perimeter 7π‘₯?

  • A4916π‘₯
  • B494π‘₯
  • C4916π‘₯
  • D49
  • E49π‘₯

Q7:

A club is producing posters. If the cost of making one poster is 10 LE and the shipping cost of an order of any size is 27 LE, what is the total cost of producing and shipping an order of π‘₯ posters?

  • A(10π‘₯+27)LE
  • Bο€Ό10π‘₯+27LE
  • C(27π‘₯+10)LE
  • Dο€»π‘₯10+27LE
  • E(10π‘₯βˆ’27)LE

Q8:

Write two equivalent expressions for the area of the following figure.

  • A20(π‘₯+8), 20π‘₯+160
  • B10(π‘₯+8), π‘₯+80
  • C20(π‘₯+8), 20π‘₯+28
  • D10(π‘₯+8), 10π‘₯+18
  • E10(π‘₯+8), 10π‘₯+80

Q9:

Translate the following verbal expression into an algebraic one, and then simplify it: Four sets of the sum of a number and eleven are added to three times the same number.

  • A4(π‘₯+11)+3, 4π‘₯+47
  • B4(π‘₯+11)+3π‘₯, 7π‘₯+44
  • C4(π‘₯+11)+3π‘₯, 7π‘₯+15
  • D4(π‘₯+11)+3, 4π‘₯+18
  • E(4π‘₯+11)+3π‘₯, 7π‘₯+11

Q10:

A rectangle’s dimensions are (8π‘₯+4) length units and (16π‘₯+6) length units. Express the perimeter in terms of π‘₯ and calculate the perimeter when π‘₯=1.

  • A(24π‘₯+2) length units, 26 length units
  • B(48π‘₯+20) length units, 68 length units
  • C(48π‘₯βˆ’4) length units, 44 length units
  • D(24π‘₯+10) length units, 34 length units

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