Free Printable Module 4 Test Review - Algebraic Expressions

1.

Which of the following pairs of expressions are equivalent to each other?
Select the pairs of expressions that are equivalent to each other.

a)

$7b+5b\ \ and\ \ 12b$

b)

$\left(4y-4y\right)+c\ \ and\ \ 0$

c)

$12.5+1.2a-1a\ \ and\ \ 0.2a$

d)

$-4r\left(5-5\right)\ and\ \ 0$

e)

$8\left(r-2\right)\ and\ \ 8r-16$

2.

What is the sum of the following expression?

8s-12r+3s+5r

(a)

3.

Find the difference of the two expressions.

\left(\frac{3}{4}b+5\right)-\left(\frac{2}{4}b-8\right)

a)

$b-3$

b)

$b+13$

c)

$\frac{1}{4}b-3$

d)

$\frac{1}{4}b+13$

4.

Two equivalent expressions are shown in the equation where "a" and "b" are both integers.

$a(6x+2)=b+24x$

a)

$a=4$

b)

$a=6$

c)

$b=6$

d)

$b=8$

5.

During a six-month period, the cost of a bag of flour, $f$ increased and decreased at different times. The highest cost for a bag of flour $f$ is increased by 28% and the lowest cost of a bag of flour $f$ is decreased by 28%.
Select all the expressions that indicate an increase.

a)

$0.72f$

b)

$1.28f$

c)

$f-1.28f$

d)

$f+0.28f$

e)

$f-0.28f$

6.

During a six-month period, the cost of a bag of flour, $f$ increased and decreased at different times. The highest cost for a bag of flour $f$ is increased by 28% and the lowest cost of a bag of flour $f$ is decreased by 28%.
Select all the expressions that indicate a decrease.

a)

$0.72f$

b)

$1.28f$

c)

$f-1.28f$

d)

$f+0.28f$

e)

$f-0.28f$

7.

The Mayor of Ottawa, ON, is expecting an increase in the population by 7.5% next year.

If "p" represents the current population, which expression can the Mayor use to find the expected population next year?

a)

$1.75p$

b)

$p+0.075$

c)

$1.075p$

d)

$1+0.075$

8.

The table shows the prices for ingredients in trail mix at a local store.

Sandy buys:

- 1/3 pound of mixed nuts

- 1/4 pound of chocolate candies

- 1 1/2 pound of granola

to make the trail mix.

How much did Sandy spend to make the trail mix

a)

$ 9.50

b)

$ 11.10

c)

$ 12.90

d)

$ 13.20

9.

The price to mail a letter at the post office is $0.46 for the first ounce and $0.23 for each additional ounce. Sofia paid $2.07 to mail his letter.

How much did the letter weigh?

(Hint: Don't forget to add back the first ounce!)

a)

4 ounces

b)

7 ounces

c)

8 ounces

d)

9 ounces

Module 4 Test Review - Algebraic Expressions

Total questions: 9

Worksheet time: 6mins

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