Free Printable SUMMATIVE EXAM GEN MATH 11

1.

Simplify 5 x 2 + (37 + 3 x 5) + 37

a)

99

b)

89

c)

287

d)

825

2.

$6^2-\left(32-29\right)^2$

a)

4

b)

6

c)

27

d)

36

3.

$1^3\cdot\left\{9+\left[\left(9-21-7\right)-\left(2^3-5\right)\right]\right\}$

a)

-23

b)

-13

c)

13

d)

23

4.

$-64\div4\left(2-6\right)$

a)

-4

b)

-64

c)

4

d)

64

5.

$6^2+-14\div2-\left(-8\right)$

a)

36

b)

37

c)

52

d)

92

6.

$\left(-12\right)^2\div4-3\times2^4$

a)

-12

b)

-84

c)

12

d)

84

7.

A rectangular garden has a perimeter of 120 m.

Express its area A as a function of the width w.

a)

$A\left(w\right)=60w-w^2$

b)

$A\left(w\right)=60w-60w^2$

c)

$A\left(w\right)=120w-120w^2$

d)

$A\left(w\right)=120w-w^2$

8.

A photocopy shop charges ₱0.60 per page for orders of less than 30 pages, ₱0.50 per page for orders of 30 to 60 pages, and ₱0.40 per page for orders of more than 60 pages. Which function best represents the cost for pages of photocopies?

a)

b)

c)

d)

9.

1Elaine bought a cake-making kit. She sells one-pound cakes for ₱75 each.

Write a function C that shows how much she earns selling p pounds of cake.

a)

C(p) = p

b)

C(p) = 75p

c)

C(p) = 75p + p

d)

C(p) = 75p + 150

10.

Evaluate the function $f\left(c\right)=-3c^2-2c^3-12$ at c = 2

a)

40

b)

-40

c)

-100

d)

100

11.

Evaluate the f(x) at x =10

a)

1

b)

29

c)

249

d)

1349

12.

Evaluate the function $3x^3-3x^2+x-3$ at x = -1

a)

5

b)

-5

c)

10

d)

-10

13.

Which of the following represents the sum of two functions f(x) and g(x)?

a)

f(x) – g(x)

b)

f(g(x))

c)

f(x) + g(x)

d)

f(x)g(x)

14.

Solve: f(x ) = x² - x - 2 and g(x) = x + 1. Find (f + g)(-3).

a)

2

b)

4

c)

6

d)

8

15.

Solve: f(x) = 2x - 4 and $g\left(x\right)=x^2-x+5$ . Find (f - g)(0)

a)

-2

b)

2

c)

-9

d)

9

16.

A rectangular garden has a perimeter of 120 m.

Express its area A as a function of the width w

a)

$A\left(w\right)=120-w^2$

b)

$A\left(w\right)=60w-60w^2$

c)

$A\left(w\right)=60w-w^2$

d)

9 $A\left(w\right)=120w-120w^2$

17.

Vincent’s father will celebrate his 50th birthday next month.

Vincent saved $f(x)=2x^2+10x+3$ pesos from his allowance to buy a gift that costs $g(x)=(3x+7)$ pesos. How much did Vincent have after buying the gift?

a)

$\left(2x^2+13x+10\right)\ pesos$

b)

$\left(2x^2+7x-4\right)\ pesos$

c)

$\left(2x^2-13x+10\right)\ pesos$

d)

$\left(2x^2-7x+4\right)\ pesos$

18.

Find the Perimeter of the Given Triangle

a)

$x^2-10x+4$

b)

$x^2+10x+4$

c)

$x^2+10x-4$

d)

$x^2-10x-4$

19.

Factor $4x^3-8x^2$ using the Greatest Common Factor

a)

$2x^2\left(x+4\right)$

b)

$2x^2\left(x-4\right)$

c)

$4x^2\left(x+2\right)$

d)

$4x^2\left(x-2\right)$

20.

Factor $2x^2-9x-5$ using General Trinomial

a)

$\left(2x+1\right)\left(x-5\right)$

b)

$(2x-1)(x+5)$

c)

$(2x+5)(x-1)$

d)

$(2x-5)(x+1)$

21.

Factor $x^2-9$ using Difference of two Squares

a)

$(x+9)(x-1)$

b)

$(x-3)(x-3)$

c)

$(x+3)(x-3)$

d)

$(x-9)(x+1)$

22.

Find the LCM of $x-2$ and $x^2-4x+4$

a)

$(x-2)(x+2)$

b)

$(x-2)(x-2)$

c)

$(x+2)(x-2)$

d)

$(x+2)(x+2)$

23.

Find the LCM of $y^2+6y+8$ and $y^2-4$

a)

$(y+4)(y+2)(y-2)$

b)

$(y+4)(y+2)(y+2)$

c)

$(y-4)(y-2)(y-2)$

d)

$(y-4)(y-2)(y+2)$

24.

Find the LCM of $3x^3-6x^2-9x$ and $7x^4+21x^3+14x^2$

a)

$21x^2(x-1)(x+3)(x-2)$

b)

$21x^2(x-1)(x-3)(x-2)$

c)

$21x^2(x+1)(x+3)(x+2)$

d)

$21x^2(x+1)(x-3)(x+2)$

25.

Add $\frac{3}{5}$ and $\frac{4}{7}$

a)

$\frac{7}{12}$

b)

$\frac{12}{35}$

c)

$\frac{41}{35}$

d)

$\frac{35}{41}$

26.

Subtract $\frac{2}{9}$ from $\frac{7}{8}$

a)

-5

b)

$\frac{9}{17}$

c)

$\frac{14}{72}$

d)

$\frac{47}{72}$

27.

Perform the indicated operation $\frac{2}{5}-\frac{1}{4}+3$

a)

$\frac{24}{30}$

b)

$\frac{30}{24}$

c)

$\frac{63}{20}$

d)

$\frac{20}{63}$

28.

Name these terms of rational expressions accordingly

a)

Rational Function, Rational Equation, and Rational Inequality

b)

Rational Equation, Rational Function, and Rational Inequality

c)

Rational Inequality, Rational Equation and Rational Function

d)

Rational Function, Rational Inequality, and Rational Equation

29.

Name these terms of rational expressions accordingly

a)

Rational Function, Rational Equation, and Rational Inequality

b)

Rational Equation, Rational Function, and Rational Inequality

c)

Rational Inequality, Rational Equation and Rational Function

d)

Rational Function, Rational Inequality, and Rational Equation

30.

Name these terms of rational expressions accordingly

a)

Rational Function, Rational Equation, and Rational Inequality

b)

Rational Equation, Rational Function, and Rational Inequality

c)

Rational Inequality, Rational Equation and Rational Function

d)

Rational Function, Rational Inequality, and Rational Equation

31.

What is the value of x in the rational equation below?

$\frac{x}{x+1}=\frac{4}{3}$

a)

4

b)

-4

c)

0

d)

1

32.

What is the value of y in the rational equation in the right?

$\frac{12}{y-3}=\frac{15}{y+3}$

a)

27

b)

16

c)

31

d)

45

33.

What could be the value of x in the rational inequality in the right?

$\frac{3x}{x-1}\le2$

a)

[-2, 1]

b)

(-∞, -2]

c)

(1, ∞)

d)

(-∞, -2] ∪ (1, ∞)

34.

It is an expression that consists of variables, terms, non-negative exponents and constants

a)

Real Numbers

b)

Polynomials

c)

Imaginary Numbers

d)

Rational Equations

35.

In the polynomial expression 5x2 + 3x – 7,

what do you call the number 2?

a)

Leading Coefficient

b)

Constant

c)

Variable

d)

Exponent

36.

Which of the expression is polynomial?

a)

$\sqrt[]{x}$

b)

$3i$

c)

$x^2+1$

d)

$\sqrt[3]{x+1}+3$

37.

It is the division by zero in the field of real numbers

a)

Undefined

b)

Zero

c)

Infinity

d)

Rational Number

38.

What is the result of 0 divided by 2?

a)

Zero

b)

Undefined

c)

Rational Number

d)

Infinity

39.

What is the result of 3 divided by 0?

a)

Math Error

b)

Infinity

c)

Undefined

d)

Rational Number

40.

Which of the following equations represents a rational function?

a)

$f(x)=P(x)\cdot Q(x)$

b)

$f(x)=P(x)-Q(x)$

c)

$f(x)=P(x)+Q(x)$

d)

$f(x)=\frac{P(x)}{Q(x)}$

41.

Which of the following is not a rational function?

a)

$y=\frac{\sqrt[]{x+1}}{2x}$

b)

$y=\frac{3x-19}{2x-1}$

c)

$f(x)=\frac{x^2+2x-1}{x+1}$

d)

$g(x)=\frac{2x-1}{x^2+3x+1}$

42.

Which of the following is a rational function?

a)

$f(x)=\frac{x^{\frac{1}{2}}+1}{0}$

b)

$f(x)=\ \frac{x^2+1}{-2+x}$

c)

$f(x)=\frac{\sqrt{x}+1}{2x}$

d)

$f(x)=\frac{-4x^{-1}}{x^2}$

43.

This is composed of values of x and f(x) or y that satisfy a given function

a)

table of values

b)

graph

c)

equation

d)

asymptote

44.

Write a rational function that has a vertical asymptote at x=3, a horizontal asymptote y=4, and a zero at x=−6.

a)

$f(x)=\frac{4\left(x+6\right)}{x-3}$

b)

$f(x)=\frac{4\left(x-6\right)}{x+3}$

c)

$f(x)=\frac{4\left(x+6\right)}{x+3}$

d)

$f(x)=\frac{4\left(x-6\right)}{x-3}$

45.

What do you call to the set of all possible y values of a rational function?

a)

Domain

b)

Range

c)

Asymptote

d)

Coordinates

46.

What is the domain of $h(x)=\frac{5}{x+4}$ ?

a)

the set of all real numbers except 0

b)

the set of all real numbers except 1

c)

the set of all real numbers except -1

d)

the set of all real numbers except -4

47.

What value of x that makes the function $f\left(x\right)=\frac{x+1}{-2+x}$ equal to 0?

a)

0

b)

1

c)

-1

d)

2

48.

What is the vertical asymptote of the function $h(x)=\frac{5}{x+4}$ ?

a)

-4

b)

-1

c)

1

d)

5

49.

What is the horizontal asymptote of the function $h(x)=\frac{5}{x+4}$ ?

a)

1

b)

4

c)

-4

d)

0

50.

Write a function T(x) that describes the time x it takes to drive a distance of 120 km as a function of the car's speed.

a)

$T(x)=\frac{120}{x}$

b)

$T(x)=x\cdot120$

c)

$T(x)=x+120$

d)

$T(x)=x-120$

51.

A rectangular studio-type condominium unit has an area of $24m^2$ and a width of x meters. Construct a function L(x) that expresses its length.

a)

$L\left(x\right)=24+x$

b)

$L\left(x\right)=24-x$

c)

$L\left(x\right)=24\cdot x$

d)

$L(x)=\frac{24}{x}$

52.

For the Math Club’s yearly team-building activity, they agreed to rent a bus and split the payment among the members who will join. The rent costs ₱₱10000 and so far, only 10 members have signed up. Write a function P(x) for the cost per member related to the number of additional members x that agree to join

a)

$P(x)=\frac{10000}{x+10}$