1.2 Algebra

3.2.5 the value of the expression if a = -2

4. Write an algebraic expression for each of the following.

4.1 the product of a and p , multiplied by the sum of a and p .

4.2 the sum of a and p , multiplied by 3

4.3 the quotient of a and p multiplied by 3

4.4 the cost of a bus trip is p rand per km. Calculate the cost of the entire, trip if the distance travelled is 45 km.

4.5 5 is added to the product of 3 and a , and the answer is reduced by the sum of 9 and b

5. You rent a car at Cape Town International airport at R 125,50 per day.

5.1 Compile a table to indicate how much it will cost you in hire for the following periods: 6; 7; ..... 12 days.

5.2 Determine a formula for representing the data with y (total cost) and $x$ (number of days).

5.3 What will the total hiring costs for 2½ months come to?

6. How many terms in each of the following expressions?

6.1 a b + ^m / _n - 2( a + b )

6.2 ( p + q + r )3 - 4 r ²

6.3 m / n + 7 m ² ÷ 5 x p - q x r

6.4 (6 x q ) ÷ ( r x 7)

6.5 $\frac{\text{mn - pr - a}}{5}$

Assessment

 good  average  not so good

Assessment

Memorandum

Class assignment 1

• 2
• $-\frac{1}{4}$
• 6
• 2

2.1 x + 7

2.2 x + 7

2.3 a – b

• ( x + 7) – 6

= x – 13

• x x $b$ = x $b$
• $\frac{x}{7}$
• $a$ ²
• $\sqrt{a}$

2.9 $\text{ab}$ – ( $a$ – $b$ )

3.1 a c

7 -4

3.2 a c

9 $-\frac{1}{2}$

4. 21; 31; 95; $y=\mathrm{2x}+1$

Homework assignment 1

• y = 2 x + 6
• y = 5 x – 3
• y = x ²
• y = x ³
• y = x ² + 1

• Sketch: (3 x 4) + 1 = 13
• y = 3 x + 1
• y = 3(110) + 1 = 331
• (2 005 – 1) ÷ 3 = 668

• 7 – $\frac{1}{4}a$ + $\frac{a^2}{5}$ + 3 $a^3$

• 4
• $\frac{1}{5}$
• 3
• 7
• $-\frac{1}{4}\left(-\frac{2}{1}\right)$ + ${\left(\frac{-2}{5}\right)}^2$ + 7 3(-2) ³

= $\frac{1}{2}$ + $\frac{4}{5}$ + 7 – 24

= $\frac{5+8+\text{70}-\text{240}}{\text{10}}$

= $\frac{-\text{157}}{\text{10}}$ = -15,7

• ap + ( a + p )
• 3( a + p )
• $\frac{a}{p}$ + 3
• 45 p
• (3 a + 5) – (9 + b )

5.1

• y = 125,5 x
• 2 $\frac{1}{2}$ months (2 x 30 ) + 15 75 x R125,50 = R9 412,50

or (30 + 31 + 15) 76 x R125,50 = R9 538,00

• 3
• 2
• 3
• 1
• 1