Download BLACKLINE MASTER 1-1

Section 8.1 Extra Practice
1. Solve each equation. Use a number line.
a) 3 x 
3
b)
4
c
4

2
3
2. Solve each equation. Use models of your choice to represent the solutions.
b) 2 x 
a) 3x = 0.6
5
2
3. Solve each equation algebraically.
a) 3x 
2
b)
5
m
5

2
c) –4.5x = 1.35
3
4. Solve each equation. Show a check of each solution.
a) –4x = –4.96
d)
x
2.3
b)
 7.4
x
0.7
 2.1
e) 4m 
10
3
c)
f)
5
m
1
6


1
3
14
m
5. Solve each problem.
a) Carol gave a 15% deposit on a diamond bracelet. The deposit was $73.50. What was the
cost of the bracelet?
b) Eric earned
2
5
of the profits of the canteen on the weekend. His earnings were $620.
What was the total profit earned in the canteen?
c) The density of an object is determined by the formula d 
m
v
, where m is the mass, in
grams, and v is the volume, in litres. What volume does the object occupy if an 8.58-g
object has a density of 3.3 g/L?
d) Jamal received a 20% discount when he purchased his computer. He paid $920. What
was the regular price of the computer?
Section 8.2 Extra Practice
1. Solve each equation. Use each of the following once: an algebraic method, a diagram, and
concrete materials.
a) 2 x 
1 1

4 2
b)
m
 1.5  0.8
2.5
c) 4x – 7 = 29
2. Solve each equation. Then, check your answer.
3
1
 3m 
4
2
x
 4.5
d) 3.4 
1.4
a) 2
1
1 7
x 
2
3 6
1
2
e) 4c +
=
3
6
b)
c)
n
 0.23  1.93
0.6
f)
9.2  0.2x  2.4
3. Create an equation for each of the following. Solve. Then, check.
a) When a number is tripled, then increased by 13, the result is 82. Find the number.
b) Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How
much was the blouse?
c) The sum of two consecutive numbers is 37. What are the numbers?
d) The cost of a banquet at Nick’s Catering is $215 plus $27.50 per person. If the total cost
of a banquet was $2827.50, how many people were invited?
e) Effie and Kirsten live 23.6 km apart. They decided to cycle to the pool at the park, which
is located between their homes. If Jennifer lives 5.2 km closer to the park, how far did
they each cycle?
f) Hyan has saved $300 more than two-thirds of the cost of the down payment on a car. If
he has $1240 saved, how much is the down payment?
Copyright © McGraw-Hill Ryerson, 2009
BLM 8–6 Section 8.1 Extra Practice
1. a)
e) m =
5
6
10
 5 
Left side = 4 
 Right side =
6
3


20
6
10
=
3
Left side = Right side
f) m = 84
1
Left side =
6
=
The diagram shows that x 
1
.
4
b)
The diagram shows that c 
2
8
, or c  2 .
3
3
5
4
10
1
, or  3
b) m 
c) x = –0.3
3
3
2. a) x = 0.2 b) x =
2
3. a) x 
15
4.
a) x = 1.24
Left Side = –4x
Right Side = –4.96
= –4(1.24)
= –4.96
Left side = Right side
b) x = 1.47
x
Left Side =
Right Side = 2.1
0.7
1.47
=
0 .7
= 2.1
Left side = Right side
c) m = –15
5
1
Left Side =
Right Side =
m
3
5
=
15
1
3
Left side = Right side
d) x = 17.02
17.02
Left side =
Right side = 7.4
2.3
= 7.4
Left side = Right side
=
14
m
14
=
84
1
=
6
Right side =
Left side = Right side
5. a) The bracelet cost $490. b) The canteen
earned a $1550 profit. c) The object has a
volume of 2.6 L. d) The regular price of the
computer was $1150.
BLM 8–8 Section 8.2 Extra Practice
1
b) m = –1.75 c) x = 9
8
3
3
3 9 2
3 1
2. a) m =
; 2  3   ; 2   ;
4
4
4 4 4
4 2
1. a) x =
3 11
3
3
; 2 2

4
2
4
4
5 1 5 1 7 5 2 7 7 7
b) x = ;     ;
  ;

3 2 3 3 6 6 6 6 6 6
2
1.02
 0.23  1.93 ;
0.6
1.7 + 0.23  1.93; 1.93 = 1.93
1.54
d) x = 1.54; 3.4 
 4.5 ;
1.4
3.4 + 1.1 = 4.5; 4.5 = 4.5
5
5 4
 5  2 1
e) c =
; 4
;

 
6
24
6 6
 24  3
c) n = –1.02;
1 1 1
;

6
6
6
f) x = –58; –9.2 = 0.2(–58) + 2.4;
–9.2 = –11.6 + 2.4; –9.2 = –9.2
3. a) 3x + 13 = 82. The number is 23.
b) 2x – 14 = 42. The blouse was $28.
c) 2x + 1 = 37. The two consecutive numbers
are 18 and 19.
d) 27.50x + 215 = 2827.50. They invited 95
people to the banquet. e) 2x + 5.2 = 23.6. Effie
cycled 9.2 km and Kirsten cycled 14.4 km.
2
f) x  300  1240 . The down payment is
3
$1410.

Copyright © McGraw-Hill Ryerson, 2008