Free Printable 1st Quarter Summative Test

1.

Which of the following will have a factor that is a square of binomial?

a)

x²-12x+4

b)

x²+6x-9

c)

9x²-14x+16

d)

25x²-30x+9

2.

Factor: 8a³+c³

a)

(2a+c)(2a+c)(2a+c)

b)

(2a+c)(4a²-2ac+c²)

c)

(2a-c)(4a²+2ac+c²)

d)

(2a-c)(4a²+4ac+c²)

3.

Factor: $9x^2-4y^2$

a)

$\left(3x-2y\right)^2$

b)

$\left(3x+2y\right)\left(3x-2y\right)$

c)

$\left(3x+2y\right)\left(3x+2y\right)$

d)

prime

4.

Factor: 5x²-13x-6

a)

(x+3)(x+2)

b)

(x-3)(x+2)

c)

(x+3)(5x+2)

d)

(x-3)(5x+2)

5.

Factor: 6x²+5x-4

a)

(3x+4)(2x-1)

b)

(3x-1)(2x+4)

c)

(3x-2)(2x+2)

d)

(6x-4)(x+1)

6.

Factor: 2x² + 4x – 16

a)

2(x+4)(x-4)

b)

2(x-2)(x+4)

c)

2(x+2)(x-4)

d)

2x(x-2)(x+4)

7.

A common factor of $x^2+7x+10\ \ and\ \ x^2-25\$ is:

a)

$x+5$

b)

$x-5$

c)

$x^2$

d)

$x+2$

8.

What are the dimensions of a rectangle if its area is represented by $10x^3+15x^2+4x+6$ .

a)

$\left(5x^2+2\right)\left(2x+3\right)$

b)

$\left(10x^3+4x\right)\left(15x^2+6\right)$

c)

$\left(2x-3\right)\left(5x^2+2\right)$

d)

$6x\left(5x^2+2\right)$

9.

Suppose that four times the square of a number equals 20 times that number. What is the number?

a)

2

b)

5

c)

8

d)

10

10.

Find two consecutive odd whole numbers whose product is 63.

a)

7 and 9

b)

-7 and -9

c)

-7 and 9

d)

7 and 9 or -7 and -9

11.

The area of the floor of a rectangular room is 84 square feet. The length of the room is 5 feet more than its width. Find the width and length of the room.

a)

6 feet and 14 feet

b)

7 feet and 12 feet

c)

2 feet and 42 feet

d)

3 feet and 28 feet

12.

Which is not included in the group?

a)

$\frac{3x}{5}$

b)

$\frac{x+2}{x^2-2x+1}$

c)

$\frac{x-3}{x^2-9}$

d)

$\frac{\sqrt{x}}{x+4}$

13.

The simplest form of $\frac{5x+15}{x^2-9}$ is equal to _________.

a)

$\frac{5}{x+3}$

b)

$\frac{x+3}{x-3}$

c)

$\frac{5}{x-3}$

d)

$\frac{x-3}{x+3}$

14.

For what value of x is the expression $\frac{x+2}{2x+4}$ restricted or meaningless?

a)

$-\frac{1}{2}$

b)

$-1$

c)

$-2$

d)

$-4$

15.

Simplify: $\frac{x^2+10x+24}{x^2-x-20}$

a)

$\frac{x+6}{x+4}$

b)

$x+6$

c)

$\left(x+6\right)\left(x+4\right)$

d)

$\frac{x+6}{x-5}$

16.

What is the least common denominator of $\frac{2}{x+5}-\frac{1}{3}$ ?

a)

3(x+5)

b)

3+x+5

c)

3x+5

d)

x-2

17.

What is the product of $\left(\frac{3ab}{14}\right)\left(\frac{28}{5ab^2}\right)$ in simplest form?

a)

$6b$

b)

$\frac{2}{5ab}$

c)

$\frac{3}{5b^2}$

d)

$\frac{6}{5b}$

18.

The sum of $\frac{-2}{x-2}+\frac{x}{x-2}$ is equal to __________.

a)

$-1$

b)

$1$

c)

$\frac{x-2}{x+2}$

d)

$\frac{x}{x-2}$

19.

Which will result to $\frac{11x}{x^2+3x-28}$ as the difference?

a)

$\frac{-7}{x+4}-\frac{4}{x-4}$

b)

$\frac{7}{x+4}-\frac{4}{x-4}$

c)

$\frac{-4}{x+7}-\frac{7}{x-4}$

d)

$\frac{4}{x-4}-\frac{-7}{x+7}$

20.

The quotient of $\frac{2x+10}{3x-15}\div\frac{x+5}{x-5}$ is equal to __________.

a)

$-\frac{2}{3}$

b)

$\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$\frac{2}{x+5}$

21.

Which is the product of $\frac{a^2-49}{a^2-25}\ \ and\ \ \frac{a-5}{a+7}$ ?

a)

$\frac{a+7}{a-5}$

b)

$\frac{a-7}{a+5}$

c)

$\frac{a-5}{a+5}$

d)

1

22.

If two rational expressions are multiplied, their product is $\frac{1}{2}$ . If the expressions are divided, their quotient is $\frac{8x^2}{9y^2}$ . What are the two rational expressions?

a)

$\frac{3y}{2x}\ \ and\ \ \frac{6y}{8x}$

b)

$\frac{2y}{3x}\ \ and\ \ \frac{6x}{8y}$

c)

$\frac{2x}{3y}\ \ and\ \ \frac{6y}{8x}$

d)

$\frac{2x}{3y}\ \ and\ \ \frac{8x}{6y}$

23.

Achilles can do a piece of work in 6 days. When he and Akilah work together, it takes only 4 days. How long will it take Akilah to do the work if she works alone?

a)

2 days

b)

5 days

c)

10 days

d)

12 days

24.

If the abscissa and ordinate are both negative, they met at ________.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

25.

The coordinates of the 3 vertices of a square H.O.P.E are H(3,4), O(-3,4) and P(-3,-2). What is the coordinate of E?

a)

(4 , 3)

b)

(-2 , 3)

c)

(4 , -3)

d)

(3 , -2)

26.

What is the y – intercept of the line $y=\frac{2}{5}x+4$ ?

a)

$\frac{2}{5}$

b)

2

c)

4

d)

5

27.

What can be said about the graph of a line whose slope is positive?

a)

It falls to the right.

b)

It rises to the right.

c)

It is parallel to the x-axis.

d)

It is parallel to the y-axis.

28.

What is the slope of the line defined by 3x + y = 7?

a)

-3

b)

3

c)

$-\frac{1}{3}$

d)

$\frac{1}{3}$

29.

Point A and B has coordinates (-2,5) and (3,1) respectively. Find the slope of line AB?

a)

$\frac{5}{4}$

b)

$\frac{4}{5}$

c)

$-\frac{5}{4}$

d)

$-\frac{4}{5}$

30.

What is the slope of the given graph?

a)

2

b)

-2

c)

0

d)

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1st Quarter Summative Test

Total questions: 30

Worksheet time: 1hrs 17mins

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