Free Printable Precalculus Test #1

1.

Which of the following is a whole number?

a)

3.5

b)

-7

c)

$\frac{1}{6}$

d)

4

2.

$25x^2-4$ is the same as:

a)

(25x−2)(25x+2)

b)

(5x−2)(5x+2)

c)

$\left(25x-2^2\right)$

d)

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

3.

When simplified $3^{2x}\times3^{1-5x}$ gives:

a)

$3^{1-3x}$

b)

$3^{1+7x}$

c)

$3^{1-10x^2}$

d)

$3^{2x-10x^2}$

4.

When simplified $x^3y^2\times x^{-3}y^{-2}$ gives:

a)

$x^0y^{-4}$

b)

$x^6y^4$

c)

$x^6y^0$

d)

1

5.

$\left(2x+4\right)\left(x-3\right)=$ is equal to

a)

$x^2-12$

b)

$2x^2+x-4$

c)

$2x^2-2x-12$

d)

$2x-12$

6.

Solve the equation $9^{x+3}=3^2$ for x.

a)

2

b)

1

c)

3

d)

−2

7.

If $7^{x-2}=1$ then x=

a)

2

b)

7

c)

1

d)

∞

8.

Solve the equation: x(x−3)=0

a)

x=3

b)

x=0 or x=3

c)

x=0

d)

x=√3

9.

If $2x^3-7x^2+3x+9\$ is divided by (x−2), the remainder is

a)

-41

b)

19

c)

3

d)

7

10.

Which of the following is a factor of $2x^3-13x^2+15$

a)

(x+3)

b)

(x−3)

c)

(x−1)

d)

(x+1)

11.

Given that $P\left(x\right)=2x^3+11x^2+18x+9$ and (x+3) is a factor of P(x) then:

a)

P(x)=0

b)

P(3)=−3

c)

P(3)=0

d)

P(−3)=0

12.

What is the remainder when a³ - 4 is divided by a+2?

a)

-2

b)

-6

c)

-12

d)

0

13.

Is (x-7) a factor of (x²-5x+14)?

a)

Yes

b)

No

14.

Factor Completely.
$8x^2-200$

a)

$8\left(x+5\right)\left(x-5\right)$

b)

$8\left(x^2-25\right)$

c)

$4\left(2x^2-50\right)$

d)

$4\left(2x+25\right)\left(2x-25\right)$

15.

What are the three factors for
(x³ +7x² +7x -15) ÷ (x -1)?

a)

(x-1) (x+5) (x-3)

b)

(x-1) (x+5) (x + 3)

c)

(x+1) (x+5) (x-3)

d)

(x+1) (x-5) (x-3)

16.

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

a)

0

b)

-3

c)

9

d)

5

17.

Find the expression equivalent to x²+5x-24

a)

(x+3)(x+8)

b)

(x-3)(x-8)

c)

(x+3)(x-8)

d)

(x-3)(x+8)

18.

Write $\frac{4^7\times4^3}{4^4}$ as a single power

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

19.

Simplify: 4x²y × 9xy²

a)

36x³y³

b)

36xy³

c)

13x²y²

d)

13x³y³

20.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

21.

Simplify

a)

10x³

b)

x⁴ / 2

c)

x³

d)

x³ / 2

22.

Simplify

$-\frac{5p^0t^{-5}}{2^{-1}m^2}$

a)

$\frac{5p}{2t^{5\ }m^2}$

b)

$10m^2t^5$

c)

$\frac{\left(-5\right)^{2\ }}{t^5m^2}$

d)

$-\frac{10}{t^5m^2}$

23.

Solve $4^{2x-1}=64^x$ .

a)

$x=1$

b)

$x=-1$

c)

$x=-\frac{1}{4}$

d)

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

24.

Simplify

a)

10x³

b)

x⁴ / 2

c)

x³

d)

x³ / 2

25.

A polynomial is defined by $2x^3+7x^2+kx-3$ If $\left(x+3\right)$ is a factor what is k?

a)

1

b)

2

c)

3

d)

4

26.

Solve: $8\left(2^{2x}\right)+15\left(2^x\right)-2=0$

4 lines

Precalculus Test #1

Total questions: 26

Worksheet time: 3600secs

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