24. Quadratic Inequalities (Graphically) Not sure we need

Question 1

The graph of x^2 +14x+48 is shown below:

Select the correct answer from the list below:

A: 9a^3

B: 9a

C: 7a

D: 8a^2

CORRECT ANSWER: B: 9a

WORKED SOLUTION:

When adding algebra, simply collect like terms,

so in this example we have 1 + 3 + 5 = 9

so the answer is 9a

Question 2

Simplify 4b +4b+5b

Select the correct answer from the list below:

A: 13b^2

B: 13b

C: 12b

D: 14b

CORRECT ANSWER: B: 13b

WORKED SOLUTION:

When adding algebra, simply collect like terms,

so in this example we have 4 + 4 + 5 = 13

so the answer is 13b

Question 3

Simplify 2a -4a+5a

Select the correct answer from the list below:

A: a + 3a

B: -3a

C: a

D: 3a

CORRECT ANSWER:  D:3a

WORKED SOLUTION:

Working from left to right,

there is 2a-4a = -2a

then  -2a+5a=3a

Question 4

Simplify 3x+4y+2x-6y+11

Select the correct answer from the list below:

A:  15xy + 11

B: 10x + 5y +11

C: 5x+10y+11

D: 26xy

CORRECT ANSWER: C:5x+10y+11

WORKED SOLUTION:

Collect like terms,

so 3x+2x = 5x and 4y +6y = 10y

and then 11 on its own.

These are then added together to get the final answer.

Question 5

Simplify -5x+6y+2x+2y+20-1

Select the correct answer from the list below:

A: -3x+8y+19

B: 3x-8y+19

C: -8x+3y+19

D: -3x-8y+19

CORRECT ANSWER:A:-3x+8y+19

WORKED SOLUTION:

Collect like terms,

so -5x+2x = -3x and 6y +2y = 8y

and then 20-1=19 on its own.

These are then added together to get the final answer.