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Algebra in Real Life Quiz

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Algebra in Real Life Quiz

Solve each problem using algebra. Show your working where helpful, and include units in your answers.

Expressions and Equations

1.A music-streaming plan charges £18 each month, plus 12p for every downloaded song. One month’s bill is £27.60. How many songs were downloaded?

2.Write an expression for five more than four times a number, using x for the number.

3.A delivery service charges £4.50 plus £2.25 per kilometre. Use 4.50 + 2.25d = 18 to find the distance d.

4.Asha puts £22 into her savings each week. Write an expression for her savings after w weeks, then calculate the total after 9 weeks.

5.A rectangular patio is x metres wide and (3x + 2) metres long. Write and simplify an expression for its perimeter.

6.An electrician charges a £38 call-out fee and £26 for each hour worked. A visit costs £142 altogether. Form an equation and work out the number of hours.

Formulae and Real-Life Contexts

7.The area of a triangle is A = ½bh. Calculate its area when the base is 14 cm and the perpendicular height is 9 cm.

8.Rearrange the formula p = q + rt to make t the subject.

9.A theatre ticket costs £x. A booking for 12 tickets costs £108. Which equation represents the booking?

12x = 108
x + 12 = 108
12 + x = 108
x - 12 = 108

10.Convert a temperature of 20°C to Fahrenheit using F = 1.8C + 32.

11.A bicycle hire shop charges £12 per day plus 15p per kilometre. Which inequality describes a one-day bill of no more than £30, if k is the number of kilometres?

12 + 0.15k ≤ 30
12 + 0.15k ≥ 30
0.15k - 12 ≤ 30
12k + 0.15 ≤ 30

12.A community room hire charge is C = 120 + 9n, where C is the total cost in pounds and n is the number of attendees. Rearrange the formula to make n the subject, then find n when C = £282.