Algebra Answers

Mpohlo bought nine shirts at a total cost of R2 520,00. The large shirts costs R300,00 each and the small

shirts costs R240,00 each. Choose the correct statement.

[1] He bought twice as many small shirts as large shirts

[2] He bought three large shirts

[3] He paid R720 in total for the small shirts

[4] He paid double the amount for the large shirts as the amount that he paid for the small shirts

When solving for x in the equation

((9x + 7)/2)-(x-(x-2))/7)=36

the equation that is NOT correct, is

[1] ((9x + 7)/2)-[(7x/7)-((x-2)/7)]=36

[2] ((9x + 7)/2)-((7x-x-2)/7)=36

[3] ((9x + 7)/2)-((6x+2)/7)=36

[4] 7(9x + 7) − 2(6x + 2) = 14 × 36.

Jemima has three boxes whose total weight is 51 1

5 kg. Box B weighs 5 1

2 kg more than box A and box C

weighs 3 1

5 kg more than box B. Choose the correct statement.

[1] Box A weighs 17 5

6 kg.

[2] Box C weighs 21 1

30 kg.

[3] Box A weighs 42 1

2 kg.

[4] Box B weighs 12 1

3 kg

8. Santa always leaves plans for his elves to determine the order in which the reindeer will pull his sleigh. This year, for the Asian leg of his journey, his elves are working on the following schedule that will form a single line of nine reindeers: "Comet behind Rudolph, Prancer and Cupid. Blitzen behind Cupid and in front of Donder, Vixen and Dancer. Cupid in front of Comet, Blitzen and Vixen. Donder behind Vixen, Dasher and Prancer. Rudolph behind Prancer and in front of Donder, Dancer and Dasher. Vixen front of Dancer and Comet. Dancer behind Donder, Rudolph and Blitzen. Prancer in front of Cupid, Donder and Blitzen. Dasher behind Prancer and front of Vixen, Dancer and Blitzen. Donder behind Comet and Cupid. Cupid in front of Rudolph and Dancer. Vixen behind Rudolph, Prancer and Dasher." What is the order in which the reindeer will pull Santa's sleigh?

rina walks from home to school everyday how far is the school from her house if it takes 10 minutes to walk at a pace of 50 m/mins

A town has a population of 2000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole number?

Reflect on the concept of function. What concepts (only the names) did you need to accommodate the concept of function in your mind? What is the simplest function you can imagine? In your day to day, is there any occurring fact that can be interpreted as a function? Is it possible to view a function? What strategy are you using to get the graph of a function?

Jemima has three boxes whose total weight is 51 1

5 kg. Box B weighs 5 1

2 kg more than box A and box C

weighs 3 1

5 kg more than box B. Choose the correct statement.

[1] Box A weighs 17 5

6 kg.

[2] Box C weighs 21 1

30 kg.

[3] Box A weighs 42 1

2 kg.

[4] Box B weighs 12 1

3 kg.

The equations of three quadratic functions are given below:

(i) y = 2x2 + 12x + 18

(ii) y = −3x2 − 5x + 3

(iii) y = x2 + 2x − 5

Determine the discriminant of each function and the number of x-intercepts that the parabola has. Choose

the correct sentence. The function described in

[1] (i) has no discriminant and the parabola has no x-intercepts

[2] (ii) has a negative discriminant and the parabola has two x-intercepts

[3] (i) has a zero discriminant and the parabola has one x-intercept

[4] (iii) has a positive discriminant and the parabola has one x-intercept

The value of a car when new is R224 000,00. It is estimated that the value of the car will decrease at the

rate of 11% per year. Answer the following questions:

a. Determine the exponential function that describes the value of the car y years after it was bought.

b. Determine the value of the car six years after it was bought.