Sec 1 Maths Linear equations worksheet with answers
A free Sec 1 Maths worksheet on linear equations: 7 questions, 30 marks, short questions first and then structured ones, in the school exam style. The answers and full worked solutions are on the last page.
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Answer all questions. Show all your working. Give non-exact answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless the question says otherwise.
Section A
1
Solve 5(2x−2)=4(3x−4).
Answer[2]
2
Solve 3x−1=1.
Answer[2]
3
Solve 13−5x=8.
Answer[2]
4
The sides of the triangle are x cm, (2x−4) cm and (x+2) cm. Its perimeter is 26 cm. Find the length of the longest side.
Answer[3]
Section B
5
(a)Solve 12−7x=61.
Answer (a)[2]
(b)(i)Solve 3x+8=6.
Answer (b)(i)[2]
(b)(ii)Solve 32x−5=43x−4.
Answer (b)(ii)[2]
6
(a)Solve 4x+2=8x+5.
Answer (a)[2]
(b)Solve −3(4x−7)=117.
Answer (b)[2]
(c)(i)The formula v=u+at gives the speed of a moving object. Find the value of v when u=5, a=6 and t=3.
Answer (c)(i)[1]
(c)(ii)The perimeter of a rectangle is given by P=2(l+b). Find the value of b when P=36 and l=4.
Answer (c)(ii)[2]
7
(a)Solve 6x−7=7x+11.
Answer (a)[2]
(b)The tens digit of a two-digit number is 7 more than its ones digit. When the digits are reversed, the new number and the original number add up to 121. Let the ones digit be x. Form an equation in x, and hence find the original number.
Answer (b)[3]
(c)(i)The formula v=u+at gives the speed of a moving object. Find the value of v when u=12, a=−4 and t=3.
Answer (c)(i)[1]
(c)(ii)The formula v=u+at gives the speed of a moving object. Find the value of a when v=17, u=1 and t=8.