Free Printable ENHANCED MATHEMATICS TEACHING AND LEARNING PROGRAM(EMTAP)

1.

What is the standard form of $\left(x-5\right)\left(x+3\right)-8=7$ ?

a)

$2𝑥^2+2𝑥+1=0$

b)

$2𝑥^2+2𝑥+1=0$

c)

$x^2−2𝑥−15=0$

d)

$x^2−2𝑥−30=0$

2.

Which of the following are the roots of $x(x-4)=12?$

a)

-4 and 3

b)

6 and -2

c)

4 and – 3

d)

-6 and 2

3.

Find the roots of $x+\frac{8}{x-2}=1+\frac{4}{x-2}$ .

a)

x = 5 or x = 2

b)

x = -5 or x = -2

c)

x = 5 or x = -2

d)

x = - 5 or x = 2

4.

The sum of two numbers is 12 and their product is 35. What are the two numbers?

a)

5 and 7

b)

– 5 and – 7

c)

6 and 6

d)

– 6 and – 6

5.

What are the dimensions of the largest rectangular field that can be enclosed by 80 m of fencing wire?

a)

19m and 19m

b)

20m and 20m

c)

21m and 21m

d)

22m and 22m

6.

A ball is thrown upward from the top of a 40-foot high building at a speed of 80 feet per second. The ball’s height above ground can be modeled by the equation $H(t)=-16t^2+80t+40$ . When does the ball reach the maximum height?

a)

1.5 h

b)

2.5 h

c)

3.5 h

d)

4.5 h

7.

A rock is thrown upward from the top of a 112-foot high cliff overlooking the ocean at a speed of 96 feet per second. The rock’s height above the ocean can be modeled by the equation $H(t)=−16t^2+96t+112$ . What is the maximum height reached by the rock?

a)

112 ft

b)

144 ft

c)

256 ft

d)

368 ft

8.

Greg went to a conference in a city 120 kilometer away. On the way back, due to road construction he had to drive 10 kph slower which resulted in the return trip taking 2 hours longer. How fast did he drive on the way to the conference?

a)

20 kph

b)

30 kph

c)

40 kph

d)

50 kph

9.

Rewrite $𝑦=−2𝑥^2−12𝑥−12$ into vertex form.

a)

$y=−2(𝑥+3)^2−6$

b)

$𝑦=−2(𝑥−3)^2−6$

c)

$𝑦=−2(𝑥+3)^2+6$

d)

$𝑦=−2(𝑥−3)^2+6$

10.

What are the coordinates of the vertex of the parabola whose equation is $𝑦=4(𝑥+5)^2−3$ ?

a)

( - 5 , - 3)

b)

( 5 , 3)

c)

( - 5 , 3)

d)

( 5 , - 3)

11.

Transform $𝑦=5(𝑥−3)^2+7$ into general form.

a)

$y=5x^2-30x-52$

b)

$y=5x^2+30x+52$

c)

$y=5x^2-30x+52$

d)

$y=-5x^2-30x+52$

12.

The height h (in feet) of water spraying from a fire hose can be modeled by $h(x)=−0.03x^2+x+25$ , where x is the horizontal distance (in feet) from the fire truck. The crew raises the ladder so that the water hits the ground 10 feet farther from the fire truck. Write a function that models the new path of the water.

a)

$g(x)=−0.03x^2+x+48$

b)

$g(x)=0.03x^2+x+48$

c)

$g(x)=−0.03x^2+x-48$

d)

$g(x)=−0.03x^2-x+48$

13.

If the parabola opens up, the vertex is the lowest point. This point is called the __________.

a)

Minimum point

b)

Maximum point

c)

Opening

d)

vertex

14.

In completing the table and graphing the function $f(x)=x^2-6x+5$ , what will be the opening of the parabola?

a)

downward

b)

upward

c)

to the left

d)

to the right

15.

Given the table of values below, determine the equation of quadratic function.

a)

$y=x^2+3x-5$

b)

$y=-x^2+3x-5$

c)

$y=x^2-3x-5$

d)

$y=x^2+3x+5$

ENHANCED MATHEMATICS TEACHING AND LEARNING PROGRAM(EMTAP)

Total questions: 15

Worksheet time: 25mins

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