solve by substitution
1
(-5, -1)
2x – y = -9
3x – 8y = -7
7 4
2 6) x ybx ya) (4x3y5)3
2
9 1564x y5
2
xy
Simplify
3
Solve for x: 4 7 511 2x x
4119
x
4
A caterer is planning a party for 232 people. The customer has £808 to spend. A £32 pan of pasta feeds 8 people and a £36 sandwich tray feeds 12 people. How many pans of pasta and how many sandwich trays should the caterer make?
p = 14
w = 1032p + 36w = 8088p + 12w = 232
14 pans of pasta
10 sandwich trays
p = no. of pans of pastaw = no. of trays of sandwiches
5
Solve for x:5(x + 2) – 2(3 – 2x) = 3
19
x
6
Solve for x:x(2x + 1) – 2(x + 1) = 2x(x – 1)
x = 2
7
Solve for x: 5 114 12x
1511
x
8
The bill for 3 Big Macs and 2 Cokes is 20 CHF. The bill for 7 Big Macs and 8 Cokes is 55 CHF. What would be the bill for 2 Big Macs and 1 Coke?
b = 5 CHF
c = 2.5 CHF
3b + 2c = 20
7b + 8c = 55
2 Big Macs and 1 Coke would cost 12.50 CHF.
b = cost of 1 Big Macc = cost of 1 Coke
a) 7-1 + 70
25)2
b
Simplify
87
425
9
10
Solve for x: 2 5 41
xx
16
x
11
(-2, 1) 5x – y = -11 4x + 12y = 4
solve by substitution
12
Travis collects only 50-cent and $1 coins. His collection consists of 43 coins and their total value is $35. How many of each coin type does he have?
He has 16 50¢ coins and 27 $1 coins
13
2x + 7y = 2
3x + 5y = -8
solve by elimination
(-6, 2)
14
If p = 4, q = -2 and r = 3 find the value of
5r – 4q
23
15
George is 10 years older than Jane. Three years ago Jane was ¾ as old as George. How old is George now?
George is 43 years old.
22
3
2) xby
16
62) cad
6
6
64cd
6
44yx
Simplify
Write without brackets or negative exponents
a) (2a)-1
b) ab-1
12a
ab
17
Write as powers of 2, 3, or 51)4
a 1)27x
b 5) 125 5c =2-2 =3-3x =5-2
18
19
4x = 8
32
x
Solve for x.
solve by elimination
20
3x + 2y = 229x – 8y = -4
(4, 5)
21
2 193
x
32
x
Solve for x.
22
Your family is planning a 10 day trip to California. You estimate that it will cost $480 per day in Los Angeles and $380 per day in San Diego. Your total budget for the 10 days is $4200. How many days should you spend in each location?
a = 4
d = 6a + d = 10480a + 380d = 4200
4 days in Los Angeles
6 days in San Diego
a = no. of days in Los Angelesd = no. of days in San Diego
23
11 322
x
54
x
Solve for x.
24
If p = 4, q = -3 and r = 2 evaluate
2 2p q
5