Catholic College Bendigo Year 10 Maths for Further

2014 LINEAR GRAPHING TEST Name:________________________________

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Multiple-choice section (5 questions x 2 marks = 10 marks)

Circle the correct answer for questions 1—5. For each question, circle one answer only.

Question 1. The x-intercept of the line 2 x+4 y=6 is at:

A. x=0 B. y=4 C. y=6 D. x=3 E. x=2

Question 2. If y=3 x+4 , the gradient would be:

A. 2 B. 4 C. 3 D.43 E.

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Question 3. A line passes through two points: (0, 2) and (3, 11). What is the gradient of this line?

A. 5.5 B. 3 C. 0.333 D. 9 E. 0.18

Question 4. The point of intersection between y=3 x+7 and x+3 y=9 is:

A. x=−1.2 , y=3.4 B. x=3 , y=3 C. x=13, y=3

D. x=9 , y=7 E. x=0.3 , y=3.7

Question 5. What is the gradient of the following graph?

A. 6

B. 2

C. -3

D.−13

E. 3

Catholic College Bendigo Year 10 Maths for Further

Short answer section (5 questions, 26 marks)Answer every question in this section. Show all working.

Question 1. Match each equation to the correct graph (3 Marks)

y=2x+4 y=4 x y=12x+4

(0,4) . (1,4)

(0,4)

(-8,0) (-2,0)

Question 2. On the grid below, sketch these two graphs on the same set of axes (use any method you like to sketch)

a. y=x−5

b. 2 x+3 y=10

c) state their point of intersection

( 2 + 2 + 1= 5 Marks )

Question 3. Use the substitution methods to solve the following simultaneous equations.

y=4 x+1 and y=x+4

(2 marks)

Catholic College Bendigo Year 10 Maths for Further

Question 4. Determine the equations of the following linear graphs.

a. b.

2 + 2 = 4 Marks

Question 5. Elyse was working hard in her new job at McJack’s. She was getting paid $10 per hour.

a. Write an equation to express the money she earns (y) in terms of the number of hours worked (x).

2 Marks

b. Complete the following table and plot the graph of Elyse’s earnings on the set of axes provided.

x: Hours worked 0 1 2 3y: Elyse’s Earnings ($) 75

2 + 2 = 4 Marks

Catholic College Bendigo Year 10 Maths for Further

Finn was bragging to Elyse that he was earning better money than she was. He was a busker, but because he was only just learning to play his flugelhorn he got $5 for every hour worked. However his parents also gave him $20 every time he went out to busk.

c. Write an equation to express Finn’s earnings (y) in terms hours worked (x).

2 Marks

d. Sketch the graph on the same set of axes as you plotted Elyse’s. 2 Marks

e. Using your calculator, find out how many hours each must work so they both earn the same amount of money.

1 Mark

f. Who earns more money if they work for six hours, and how much does that person earn?

1 Mark

y:Money Earnt

($)

100

50

0

x: Hours Worked

5 10