Free Printable 11 Gen Linear Equations Pythagoras Basic Shapes

1.

Calculate x cm rounded to the nearest whole cm.

(a)

2.

Find the length of the red line AD...

Round your answer to 1 decimal place

a)

5.8 cm

b)

5.9 cm

c)

4.0 cm

d)

4.1 cm

3.

Find the length of the blue line IO...

Round your answer to 1 decimal place

a)

6.6 cm

b)

6.5 cm

c)

5.8 cm

d)

5.9 cm

4.

Find the length of the orange line UR...

Round your answer to 1 decimal place

(a)

5.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

6.

Hei-Hei has $1500 in a retirement account earning 5% interest compounded annually. After 5 years how much does Hei-Hei have in the account?

a)

$1750

b)

$2010.14

c)

$2500

d)

$1914.42

7.

Trevor wants to have $4000 saved up in 3 years for a car. If he invests $1500 in a savings account that is compounded annually at an interest rate of 12%, will he have enough money at the end of the 4 years?

a)

Yes

b)

No

8.

From the equation (x ÷ 4) + 3 = 15, what is the correct answer?

(a)

9.

From the equation (2x – 5) ÷ 3 = 9, what is the solution to this equation?

(a)

10.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

11.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

(Answer in the form "(x,y)" e.g. (10,10)

(a)

12.

Find the gradient of the line that passes through (3,4) and (2,2).

(a)

13.

Find the gradient of the line passing through the points (3,-5) and (7,11).

(a)

14.

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

15.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5). (Answer in the form y=mx+c, e.g. y=10x+10)

(a)

16.

Write the equation of the line through the points (4, 5) and (12, 9).

a)

y = 2x - 3

b)

y = 1/2x + 3

c)

y = 1/2x +7

d)

y = 2x - 15

17.

Write the equation of the line through the points (-6, -19) and (2, 5).

(Answer in the form y=mx+c; e.g. y=10x+10)

(a)

18.

Which line has the equation

y = x + 2

a)

b)

c)

d)

19.

Which line has the equation

y = 2x + 1

a)

b)

c)

d)

20.

1. What is this type of function called?

a)

Discrete Function

b)

Segment Function

c)

Step Function

d)

Piecewise

21.

Evaluate f(-1) (That is, calculate F(x) when x = -1)

a)

-2

b)

-3

c)

11

d)

-5

22.

Evaluate f(3) (That is, calculate F(x) when x = 3)

(a)

23.

Use the graph to evaluate f(5) {HINT: when x = 5 what does y equal?}

a)

0

b)

2

c)

4

d)

6

24.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

25.

For the graph shown. Which selection is the correct way to write the piecewise function?

a)

b)

c)

d)

26.

Which set of equations represent the graph?

a)

$y=-x-1\ \ \ \ -4\ \le x\le0$

b)

$y=3/2x-1\ \ \ \ 0\le x\le2$

c)

$y=2x-1\ \ \ \ 0\le x\le1$

d)

$y=2\ \ \ \ \ \ \ 2\le x<4$

e)

$y=2x\ \ \ \ \ \ \ 2\le x\le4$

27.

Which formula to find the area of this shape?

a)

Length x Width

b)

Side²

c)

$\pi r^2$

d)

base x height /2

28.

Which formula to find the area of this shape?

a)

a²+b²=c²

b)

side x side x side

c)

Length x Width

d)

base x height/2

29.

Which formula to find the area of this shape?

a)

$\pi D$

b)

$2\pi r$

c)

$\pi r^2$

d)

$\pi D^2$

30.

You need to find the Area of this triangle. Which of these would calculate the area?

a)

5 x 6/2

b)

6 x 7.5/2

c)

5 x 6 x 7.5

d)

0.5 x 5 x 7.5

31.

Which calculation would find the area?

a)

15 x 8

b)

8 x 7

c)

8 x (15 + 7)/2

d)

(15 + 8)/2

32.

Find the area of this shape

a)

4.5 m²

b)

5 m²

c)

9 m²

d)

6.3 m²

33.

find the area

a)

19.5

b)

78

c)

39

d)

27

11 Gen Linear Equations Pythagoras Basic Shapes

Total questions: 33

Worksheet time: 1hrs 26mins

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