Simultaneous Equations: Quiz 1 - Answers
1) a = 2, b = 1
2) c = 4, d = 6
3) e = 3, f = 1
4) x = 3, y = 4
5) a = 5, b = 2
6) c = 2, d = 7
7) x = 1, y = -3
8) g = 5, h = 7
9) j = 4, k = 3
10) m = 5, n = -2
11) q = 10, r = -4
12) a) Day 1: 5c + 3w = 60
Day 2: 3c + 2w = 38
b) c = 6, w = 10
13)
a) Monday: 3f + 5c = 71
Tuesday: 7f + 4c = 89
b) f = 7, c = 10
c) 166 minutes
1) 4a + 3b = 11
2a + 3b = 7
2) 2c + 3d = 26
5c – 3d = 2
3) 4e + 3f = 15
2e – f = 5
4) 2x + y = 10
x + 2y = 11
5) 3a – 4b = 7
a + 2b = 9
6) 10c – d = 13
5c – 3d = -11
7) 6x – y = 9
4y – 3x = -15
8) 3g – 1 = 2h
17 – 2g = h
9) ½ j + 2k = 8
j + 7k = 25
10) 16 – 4m = 2n
18 – 2m + 4n = 0
11)
12) I own a shop. On one day I sell 5 caps and 3 watches for £60. On another day, I sell 3 caps and 2 watches for £38.
a) Write an expression for each of the days; let c be the number of caps that I sell, and w be the number of watches that I sell.
b) Find out how much a cap and a watch cost.
13) I am a baker. On Monday it takes me 71 minutes to make 3 flapjacks and 5 cakes. On Tuesday it takes me 89 minutes to make 7 flapjacks and 4 cakes.
a) Write an expression for Monday and Tuesday. Let f be the number of flapjacks and c be the number of cakes.
b) Find how long it takes to make a flapjack and how long it takes to make a cake.
c) How long would it take for me to make 8 flapjacks and 11 cakes? Give your answer in terms of minutes.