Free Printable Ch 8 Algebra Topic Test

1.

In the expression $8x+5xy+y+6y^2$ the coefficient of y is:

a)

0

b)

1

c)

5

d)

6

e)

8

2.

Which of the following expressions does not contain a constant term?

a)

$4x+9$

b)

$7-3y$

c)

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

d)

$2xy-7y$

e)

$3x+8+6y$

3.

An expression for one more than triple $x$ is:

a)

$x+1$

b)

$x+3$

c)

$3x+1$

d)

$3x-1$

e)

$1-3x$

4.

The value of $7+2a\ -3b$

when $a=8\ and\ b=-2$

a)

17

b)

23

c)

18

d)

29

5.

Which of these following expressions can be simplified further by collecting like terms?

a)

$4+b\ –\ a$

b)

$6a+ab+6$

c)

$7ab+2b\ –\ ba$

d)

$8b\ –\ ba+1$

e)

$9a\ –\ 5b+9+3ab$

6.

$a\div2+5\times b$

can be written as:

a)

$\frac{5\left(a+b\right)}{2}$

b)

$\frac{a+5b}{2}$

c)

$\frac{a}{2}+5b$

d)

$5\left(\frac{a}{2}+b\right)$

e)

$\frac{5a}{2}+b$

7.

The simplified form of $\frac{6xy}{9yz}$ is:

a)

$\frac{2xy}{3yz}$

b)

$\frac{6xy}{9z}$

c)

$\frac{2xy}{3z}$

d)

$\frac{6x}{9z}$

e)

$\frac{2x}{3z}$

8.

Which expression does NOT expand to 12a + 36b?

a)

$2(6b+18a)$

b)

$3(4a+12b)$

c)

$4(9b+3a)$

d)

$12(3b+a)$

9.

Which of these expressions represents the total cost in dollars of hiring a plumber for five hours if the plumber charges a $20 call-out fee and then $ $\text{}x$ per hour?

a)

$5x$

b)

$20+x$

c)

$5x+20$

d)

$5\left(x+20\right)$

10.

Which expression is NOT equivalent to the area of the rectangle shown?

a)

$5x+15$

b)

$5(x+3)$

c)

$8+5x+7$

d)

$8x+3\ –\ 3x+5$

11.

Write an expression for:

5 more than double m

without using multiplication or division signs

(don't use spaces in your answer!)

(a)

12.

Write an expression for:

the product of 5 and b is added to y

without using multiplication or division signs

(don't use spaces in your answer!)

(a)

13.

If x = 4 and y = 9

find the value of the expression:

2x-y

(a)

14.

If x = 3 and y = - 4

find the value of the expression:

3x^2+2y

(a)

15.

Simplify by collecting like terms:

8p+7-5p+6

(remember - no spaces in your answer!)

(a)

16.

Simplify by collecting like terms:

2s+7st+3-4t-ts+5s

(remember - no spaces in your answer!)

(a)

17.

Write the following expression without multiplication or division signs. Simplify your answer if possible.

6a\times bc\times2d

(a)

18.

Write the following expression without multiplication or division signs. Simplify your answer if possible.

9xy\div18x

(Tip: use the / for a fraction, eg. 1/2 =

\frac{1}{2}

)
Remember no spaces!

(a)

19.

Write the following expression without multiplication or division signs. Simplify your answer if possible.

a\times2b\times3bc

a)

$2ab3bc$

b)

$6abc$

c)

$6ab^2c$

d)

$a2b3bc$

20.

Expand the following:

4\left(m+6n\right)

(a)

21.

Expand the following:

3p\left(7-2q\right)

(a)

22.

What term would complete this expression?

$4a\times (a)$

23.

What term would complete this expression?

$7x\times (a)$

24.

To hire a basketball court it costs $10 for a booking fee plus $40 per hour.

Write an expression for the total cost (C) of hiring the court for $n$ hours.

(Remember - no spaces and no need for a $)

(a)

25.

Write a simplified expression for the perimeter (P) of the rectangle.

(a)

Ch 8 Algebra Topic Test

Total questions: 25

Worksheet time: 2hrs 1mins

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