Download NRF 10 Low Exam Review Solutions Chapter 3: B a) 18 b) 16 c) 144

NRF 10 Low Exam Review Solutions
Chapter 3:
1. B
2.
a) 18 b) 16 c) 144
3. a)
2 x  2(2 x  1)  4 x 2  6 x  2
b) 3a  4(a  2)  3a 2  2a  8
c) I can substitute a number for the variable in both the binomial product and the
trinomial. If both expressions are equal, the multiplication sentence is correct.
4. a) 12r 2  6r  36
b) 2 x 3  13x 2  4 xy 2  y 3
c)  a 2  3ab  b 2
5. a) 4ab(2a – b)
b) 2(2h – 3k)(2h + 3k)
c) r  5r  3
d) 8(f – 1)(f + 3)
6. When the factors are expanded, the middle term of the trinomial is positive, not negative.
So, the signs in the binomial factors should be reversed. 3a 2  7a  6  (3a  2)( a  3)
Chapter 4:
For questions 1 and 2, choose the correct answer: A, B, C, or D
1. D
2. B
3. a)
b)
3
3
 10
 30 is less than -3 but greater than -4 because (-3)³=-27 and (-4)³ = -64
48
b) 3 250
5. a) 5 6
b) 33 2
4. a)
6. a) 9
7.
1
3
8
b) -10

c)
1
 1000
0.0001
d)
9
16
1
2
8. a) x 8 y 5
b) x 4 y 2
Chapter 5:
1. B
2. C
3. a) i) Function; the elements in the first column are all different.
ii) Domain: {1, 3, 5, 7, …}; that is, all positive odd numbers; range: {3, 6,
9, 12, …};that is, all positive multiples of 3
Representations may vary. For example, as a set of ordered pairs:
{(1, 3), (3, 6), (5, 9), (7, 12)}
Linear function; a constant change of 2 in a results in a constant change of 3 in b.
iii) Dependent variable: b; independent variable: a; rate of change:
b) i) Function; the graph passes the vertical line test.
ii) Domain: –3 ≤ x ≤ 9, Range: 1 ≤ y ≤ 5
Representations may vary. For example,
A straight line through the points in this table of values:
3
2
Linear function; the points lie on a straight line
iii) Dependent variable: y; independent variable: x; rate of change- 
1
3

c) i) Not a function; some ordered pairs have the same first element.
4. a) A negative profit indicates a loss. When 5 T-shirts have been sold, a profit is made.
b) I did not connect the points because it makes no sense to sell a fraction of a
T-shirt.
c) Domain: {0, 1, 2, 3, 4, 5, 6, …}, all whole numbers;
Range: {–20, –15, –10, –5, 0, 5, 10, …}, all multiples of 5 greater than or
equal to –20
The graph could be extended to the right as more T-shirts are sold. The graph
cannot be extended to the left because the number of T-shirts sold cannot be
negative. The domain is restricted to whole numbers. The range is restricted to
multiples of 5, greater than or equal to –20.
d) $5/shirt; the profit made on the sale of each T-shirt
e) i) $300
ii) 69
Chapter 6:
1. B
2. A
3. a) i)
2
5
ii)
2
5
4. a) change it to y = mx + b
y = -2x -4
b) change it to y = mx + b
y =
2
x2
5
c) graph it from this form
Chapter 7: