Free Printable Unit 15 Equations and Graphs

1.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=3

d)

x²+y²=3

2.

What is the general equation of a circle with centre at the origin?

a)

$x^2+y^2=r^2$

b)

$x+y=r$

c)

$x^2+y^2=r$

d)

$x^2+x+r=y^2$

3.

What is the equation of this line?
_{(in the form y = mx + c)}

a)

y = -3x + 2

b)

y = 2x - 3

c)

y = 2x + 3

d)

y = -2x - 3

4.

When plotting the graph of y = 2x - 4

What is the correct pair of co-ordinates when x = -2

a)

(-2,-2)

b)

(-2,2)

c)

(-2,-8)

d)

(-2,8)

5.

The graph of the quadratic y = 7x²− 3 is:

a)

b)

c)

d)

6.

Which number is a solution to the inequality below?

$m\ >\ \frac{13}{3}$

a)

3

b)

5

c)

2

d)

-9

7.

Which set of numbers satisfies the inequality

$-1\le x<2$

a)

-1, 0, 1, 2

b)

0, 1

c)

-1, 1

d)

-1, 0, 1

8.

Solve 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5

9.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

10.

Choose the correct factored form for the quadratic expression:

x² + 5x - 6

a)

(x - 6)(x + 1)

b)

(x + 6)(x - 1)

c)

(x - 2)(x - 3)

d)

(x + 2)(x + 3)

11.

Identify the zeros.

a)

x = 0 and x = -4

b)

x = 0 and x = 4

c)

y = 0 and y = 2

d)

x = 2 and x = 4

12.

Carefully factor and solve on paper. Then choose the correct solutions.

b² + 12b + 35 = 0

a)

b = 5 and b = 7

b)

b = -5 and b = -7

c)

b = -5 and b = 7

d)

b = 5 and b = -7

13.

The minimum point of this graph is...

a)

(0,4)

b)

(0,-4)

c)

(-2,0)

d)

(2,0)

14.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

15.

What is the x-intercept for the given graph?

a)

(1,0)

b)

(-2,0)

c)

(0,1)

d)

(0,-2)

16.

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

17.

True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

18.

Expand and simplify the following quadratic expression...

(x - 6)(x + 5)

a)

x² + x - 30

b)

x² - x - 30

c)

x² + x + 30

d)

x² - x + 30

19.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

20.

Solve
2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x=-7, ^-3/₂

d)

x=15, -³/₇

21.

Expand
(4n - 5)(2n + 5)

a)

8n² + 10n - 25

b)

56n² + 4n - 16

c)

7n² + 27n - 4

d)

56n² - 16

22.

Write an expression for the area of the shape

a)

$2m^2+6m+4$

b)

$m^2+6m+4$

c)

$2m^2+6m-4$

d)

$2m^2-6m+4$

23.

Expand

$\left(2x^2+3x-1\right)\left(3x-6\right)$

a)

$6x^3+21x^2-21x+18$

b)

$6x^3+3x^2-21x+18$

c)

$6x^3-3x^2-21x+18$

d)

$6x^3-3x^2-21x-18$

24.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{2, 3, 5, 7}

b)

{3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

25.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

26.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

27.

What does this symbol ( ∩ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

Unit 15 Equations and Graphs

Total questions: 27

Worksheet time: 1hrs 29mins

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