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Worksheets

Linear and Quadratic Functions

Total questions: 15

Worksheet time: 50mins

Name
Class
Date
1.

Simplify 2(4x + 3)

a)

8x + 6

b)

23x + 5

c)

8x + 5

d)

11x

2.

Simplify by combining like terms:

5a + 2b - 3a + 4b

a)

8a + 2b + 4

b)

2a + 6b

c)

8ab

d)

4ab + 4

3.

Solve for r

a)

3

b)

-3

c)

-10

d)

10

4.

Look at the graph. Write down the equation for the line in the form y = mx + b

a)

y = x + 3

b)

y = 4x + 3

c)

y = 1/4 x + 3

d)

y = - 4x + 3

5.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
6.

Which value is the y-intercept?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

7.

What are the zeros of this graph?

a)

x = {-4, 2}

b)

(-4, 0 ) and (2, 0)

c)

x = {-1, 0}

d)

(-1, 9 ) and (0, -8)

8.

Which value is the vertex?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

9.
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 
a)
7x + 13y < 81
b)
7x + 13y ≥ 81
c)
7x + 13y ≤ 81
d)
7x + 13y > 81
10.

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t2 +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get? (you might find Desmos will help you!)

a)

2.625

b)

210

c)

100

d)

200

e)

210.25

11.

Factorise the expression:


x2 + 9x + 20

a)

(x + 4)(x + 5)

b)

(x - 4)(x - 5)

c)

(x + 3)(x + 6)

d)

(x - 3)(x - 6)

12.

Factorise the expression:


x2 + 5x - 24

a)

(x + 8)(x - 3)

b)

(x + 3)(x - 8)

c)

(x + 6)(x - 4)

d)

(x + 4)(x - 6)

13.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
14.

Solve using the Quadratic Formula:

x2 + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

15.

Solve for x

5x + 7 = 22

a)

-3

b)

3

c)

6

d)

4