Download Show all your working steps clearly. 1. Find the equation of the line

Show all your working steps clearly.
1. Find the equation of the line that passes through (0,3) and has a slope of -2.
[1 – 2]
2
2. Write 𝑦 = 5 𝑥 − 1 in standard form.
[1 – 2]
3. State the equations of the lines below.
[3-4]
4. Solve the following system of equations using the elimination method.
4x - y = 9
2x + 3y =1
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5.
Solve the following inequality and graph your solution on the number line.
[3 –4]
6(4x – 5) – 3(x – 8) > 42
6.
Determine the equation of the line that passes through P(-3, 4) and Q(0,2).
[3-4]
7.
What is the y-intercept of the graph of 3x + 6y =12 ?
[3-4]
8.
Solve the following: 4b +18 £ -12b -14 £14 - 5b . State whether if this is a conjunction or disjunction. [5-6]
9.
A motorist buys 24 litres of petrol and 5 litres of oil for $10.70, while another motorist buys 18 litres of petrol
and 10 litres of oil for $12.40. Find the cost of 1 litre of petrol and 1 litre of oil at this garage.
[5-6]
10. This year, CI is acknowledging students who make good progress in school. A village school student who makes
good progress will be rewarded $150 in coupons at a local bookstore. A secondary school student who makes good
progress will be rewarded $250 worth of coupons. Scott has nine cousins attending CI, all of whom have received
coupons in recognition of their progress. Together they have received no more than $1800 in book coupons. How many
cousin(s) can CI have in the village school?
[5 – 6]
11.
I think of two numbers. If I double the first and add the second I get 18. If I double the first and
subtract the second I get 14.
Write a pair of simultaneous equations (system of equations) and solve them to find the two
numbers.
[5-6]
12.
Determine where 3x-2y >12. Graph the solution, shade the region that satisfies the inequality. (5-6)
13. Solve the following linear system by graphing on the given coordinate grid.
4𝑥 + 𝑦 = 5
3𝑥 + 5𝑦 = 25
[5 – 6]
14.
CI is selling hats and jackets as a fundraiser. They have to stay within a budget of $900. They can order up to
200 items. They must buy at least as many hats as they buy jackets. Each hat costs $3 and each jacket costs $4.
(5-6)
a) Write a system of inequalities (there are 3 of them) to represent the situation.
b) Graph the inequalities, and shade the relevant regions.
c) If the club buys 150 hats and 100 jackets, will the conditions be satisfied? Justify your answer.
15.
The graph produced by scientists at the University of Colorado and published in the IPCC Report-2001, shows
the most recent global change in sea level since 1880 based on a variety of tide records and satellite data. From 1920
onwards, the average sea level rise can be effectively modeled using the linear equation 𝑦 = 0.21𝑥 − 401.1. (7-8)
(a) Interpret the meaning of the slope of this line.
(b) Interpret the meaning of the y-intercept, and argue whether it makes sense or not.
(c) If the causes for the rise remained the same, what would you predict for the sea level rise in 2050?
16. Katrina went to the supermarket to buy some fruit. When she got to the cashier, the clerk asked her how many
of each fruit she had. She smiled and replied, “ I bought 4 fewer oranges than 2 times the number of apples.”
The cashier looked puzzled, so Katrina added, “The number of oranges I bought is also the same as 8 subtract 2
times the number of apples I bought.” How many of each kind did Katrina buy?
(7-8)
17. A chord (AB) is a line segment whose endpoints are on a circle. The radius of a circle (OC) bisects any chord at a
right angle. Determine the equation of the line OC in the diagram below.