Free Printable ALGEBRA P1

1.

Simplify completely

a)

b)

c)

3

d)

12x+3

2.

Simplify
(1/3)(21m + 27)

a)

63m + 9

b)

7m + 9

c)

7m + 81

d)

7m + 27

3.

An example of a coefficient is

a)

46

b)

c

c)

3d

d)

something that is very efficient

4.

An example of a variable is

a)

4x

b)

y

c)

32

d)

??

5.

In math, a term refers to...

a)

A variable

b)

A coefficient

c)

a combination of a variable and a coefficient

d)

a paper written at the end of the year

6.

Simplify the following expression:
3x - 4t² + 5t²- 5x

a)

8x +9t²

b)

2x + t²

c)

-8x - 9t²

d)

-2x + t²

7.

a²+ b²= (a+b)(a-b)

a)

True

b)

False

8.

Solve x⁴- 13x²+ 36 = 0

a)

x = 4 or x = 9

b)

x = 2 or x = 3

c)

x = -2 or x = -3

d)

x = ±2 or x = ±3

9.

Factorise x² - 81

a)

(x + 9)²

b)

(x - 9)²

c)

(x + 9)(x - 9)

10.

Solve x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

11.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

12.

The solutions of a quadratic equation are known as the _____.

a)

Vertices

b)

Roots

c)

Squares

d)

Formulas

13.

Solve x²- 2x - 3 > 0

a)

x > -1 or x > 3

b)

x < -1 or x > 3

c)

-1 < x < 3

d)

x < -1 or x < 3

14.

x - 5 < 2x + 1

a)

x > - 6

b)

x < - 6

c)

x = - 6

15.

Solve $\frac{21}{2x}-\frac{2}{x+3}=1$

a)

$x=-\frac{7}{2}$ or $x=9$

b)

$x=-\frac{7}{2}$ and $x=9$

c)

$x=\frac{7}{2}$ or $x=-9$

d)

$x=\frac{3}{7}$

16.

Quadratic equation can be solved by:

a)

factorisation

b)

simultaneous

c)

completing the square

d)

using the quadratic formula $x=\frac{-b-\sqrt{b^2-4ac}}{2a}$ or $x=\frac{-b+\sqrt{b^2-4ac}}{2a}$

17.

If $f\left(x\right)$ is a function, then we call the solutions to the equation $f\left(x\right)=0$ the roots of $f\left(x\right).$

a)

True

b)

False

18.

Solve the equation $x-4\sqrt{x}-12=0$

a)

$x=4$

b)

$x=-4$

c)

$x=36$

d)

$\sqrt{x}$

19.

Simplify $\frac{3}{\sqrt{2}}$

a)

$\frac{\sqrt{2}}{3}$

b)

$\frac{3\sqrt{2}}{2}$

c)

$\sqrt{2}$

20.

Simplify $\sqrt{32}$

a)

8

b)

4

c)

$2\sqrt{2}$

d)

$4\sqrt{2}$

ALGEBRA P1

Total questions: 20

Worksheet time: 17mins

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