You should use algebra in all parts of this question, showing your working clearly. (a) Solve the following equations, giving your answers as integers or as fractions in their simplest form. (i) 7a + 19 = 21 – 3x (ii) 14 – (9x – 2) = 7 + 3r 20 = 1 x + 2 x + 8 (b) Factorise the expression r? +13x – 68, and hence solve the equation x? + 13x – 68 = 0. (c) A student was asked to rearrange the formula d – 2c(6 – d) 10a 7 to make d the subject (assuming that 1+ 14c + 0). The student's incorrect attempt is shown below. 10 a =-206-d) Clear the fractions By multiplyinG By 7 10 a =d-20lb-d) Multiply out the Bracket 10 a = d-12c-2cd
You should use algebra in all parts of this question, showing your working clearly. (a) Solve the following equations, giving your answers as integers or as fractions in their simplest form. (i) 7a + 19 = 21 – 3x (ii) 14 – (9x – 2) = 7 + 3r 20 = 1 x + 2 x + 8 (b) Factorise the expression r? +13x – 68, and hence solve the equation x? + 13x – 68 = 0. (c) A student was asked to rearrange the formula d – 2c(6 – d) 10a 7 to make d the subject (assuming that 1+ 14c + 0). The student's incorrect attempt is shown below. 10 a =-206-d) Clear the fractions By multiplyinG By 7 10 a =d-20lb-d) Multiply out the Bracket 10 a = d-12c-2cd
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 15CC
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Transcribed Image Text:You should use algebra in all parts of this question, showing your working
clearly.
(a) Solve the following equations, giving your answers as integers or as
fractions in their simplest form.
(i) 7a + 19 = 21 – 3x
(ii) 14 – (9x – 2) = 7 + 3r
20
= 1
x + 2
x + 8
(b) Factorise the expression r? +13x – 68, and hence solve the equation
x? + 13x – 68 = 0.
(c) A student was asked to rearrange the formula
d
– 2c(6 – d)
10a
7
to make d the subject (assuming that 1+ 14c + 0).
The student's incorrect attempt is shown below.
10a =-20b-d)
Clear the fractions By multiplyinG By 7
10 a =d-20lb-d)
Multiply out the Bracket
10 a = d-12c-2od
Collect the d terms
10 a+12c = d-2od
Factorise
10 a+12c = dl – 2c)
Divide By l-20 to Give
10 a +12c
d =
|-20
(i) Write out a correct rearrangement of the formula.
(ii) Identify and explain, as if directly to the student, two of the
mistakes they have made.
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