Free Printable Prop of Math; Writing/Solving Expression, Equation, Inequa

1.

Which equation illustrates the associative property of addition?

a)

(3x +4) +5 = 5 + (3x + 4)

b)

(4x + 3) + 0 = 4x + 3

c)

5(3x + 4) = 15x + 20

d)

(3x + 4) + 5 = 3x + (4x + 5)

2.

Which equation illustrates the commutative property?

a)

f + 5 = f + 5

b)

m(2 - n) - m(n - 2)

c)

p + q = q + p

d)

(h + 5 - 3 = h + (5 - 3)

3.

Shanika wants to know which of the following numbers has the least value.
31% and

\frac{1}{7}

Which of these steps could she use to help her compare these numbers?

a)

Change $\frac{1}{7}$ to a percent by taking the denominator and multiplying it by 100.

b)

Change 31% to a fraction by putting 31 over 100 to form a fraction.

c)

Change $\frac{1}{7}$ to a percent by taking the numerator and multiplying it by 100.

d)

Change 31% to a fraction by putting 1 over 31 to form a fraction.

4.

An office building is 20 feet taller than twice the height of a bank building. If the office building is 320 feet tall, how tall is the bank building?

a)

150 feet

b)

160 feet

c)

180 feet

d)

300 feet

5.

Allison wants to buy a skirt that has a regular price of $30.
·      The skirt is on sale for 1/5 off the regular price.
·      Allison has a coupon that will take 1/10 off the sale price.
·      There is no sales tax on clothing.

If Allison pays with a $50 bill, how much change will she receive? _

(a)

6.

Henry worked for 5.5 weeks at a summer camp.

· He earned $250.00 per week after taxes.

He saved 2/5 of his entire earnings and spent the rest.

How much money from his summer earnings did Henry spend? _

(a)

7.

Which of the following equations would be solved for x by adding 8 to both sides and then multiplying both sides by 2?

a)

$5\ =\ \frac{1}{2}x\ +\ 8$

b)

$5\ =\ \frac{1}{2}\left(x\ +\ 8\right)$

c)

$5\ =\ \frac{1}{2}x\ -\ 8$

d)

$5\ =\ \frac{1}{2}\left(x\ -\ 8\right)$

8.

Robin has a collection of dimes, nickels and quarters. He has 4 times as many dimes as nickels. He has 20 more quarters than nickels. The ratio of the number of dimes to the number of quarters is 3:2. Which equation can be used to calculate the number of nickels, n, Robin has?

a)

$\frac{4n}{n\ +\ 20}\ =\ \frac{3}{2}$

b)

$\frac{4n}{n\ -\ 20}\ =\ \frac{3}{2}$

c)

$\frac{n}{4\left(n\ +\ 20\right)}\ =\ \frac{3}{2}$

d)

$\frac{n}{4\left(n\ -\ 20\right)}\ =\ \frac{3}{2}$

9.

What is the value of the expression $-6\ \frac{3}{4\ }\ -1\ \frac{3}{12}$

a)

$-8$

b)

$-5\ \frac{2}{5}$

c)

$5\ \frac{2}{5}$

d)

$8$

10.

Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the following expression, where c represents the original cost of the coffee pot.

c - 0.2c

Which other expression could Kelly use to calculate her cost before sales tax?

a)

0.8c

b)

1.2c

c)

1.8c

d)

80c

11.

If 3m +1 > 7 what is one possible value for m?

a)

3

b)

2

c)

1

d)

0

12.

Which number line represents the solution of m + 3 < 10?

a)

b)

c)

d)

13.

Joan has a vegetable garden in her backyard that measures

8\ \frac{1}{2}

feet by

7\ \frac{1}{2}\

feet. Which expression would not calculate the garden’s perimeter?

a)

$8\ \frac{1}{2}\ +\ 7\ \frac{1}{2}\ +\ 8\ \frac{1}{2}\ +\ 7\ \frac{1}{2}$

b)

$2\left(7\ \frac{1}{2}\right)\ +\ 2\left(8\ \frac{1}{2}\right)\$

c)

$2\left(8\ \frac{1}{2}\right)\left(7\ \frac{1}{2}\right)$

d)

$2\left(8\ \frac{1}{2}\ +\ 7\ \frac{1}{2}\right)$

14.

McKenna has $30. She wants to save at least $95 to buy a digital camera. McKenna will save $4 per week.
a. Write an inequality that represents this situation. Let n represent the number of weeks that McKenna saves $4.
b. Solve the inequality.
c. What is the least number of whole weeks McKenna will need to save $4 per week in order to save at least $95?

a)

$4w\ +\ 30\ \ge\ 95$ ; 17 weeks

b)

$4w\ +\ 30\ \le\ 95$ ; 17 weeks

c)

$30\ +\ 4w\ >\ 95$ ;16 week

d)

$30\ +\ 4w\ <\ 95$ ;16 weeks

15.

Which of the following statements illustrates the identity property of addition?

a)

m + 0 = m

b)

x + y = y + x

c)

g(h + j) = gh + gj

d)

(p + q) + r = p + (q + r)

16.

$\frac{0.3\left(e\ +\ 60\right)\ +\ 1500}{3}$

Tara used the expression, where e represents her earnings, to calculate the monthly balance in the savings account for each of her 3 children.

Which expression is equivalent to Tara’s expression?

a)

0.1e + 500

b)

0.1e + 506

c)

0.1e + 502

d)

0.1e + 520

17.

Mrs. Opal teaches 30-minute piano lessons for $25 per lesson. Each piano student also pays a $75 registration fee at the beginning of each semester. The inequality below can be used to find x, the number of lessons each student needs to take for Mrs. Opal to earn more than $450 per student in one semester.

25x + 75 > 450

Which number line represents all possible values of x?

a)

b)

c)

d)

18.

Write an expression that is equal to y, if (x² - 1) + y = (2x² + 5). _

(a)

19.

When graphing a solution to an inequality on a number line that has this symbol: ≤,, what kind of circle do you use?

a)

Open

b)

Closed

c)

No Circle

20.

Name this symbol >.

a)

Greater Than

b)

Less Than

c)

Greater Than or Equal to

d)

Less Than or Equal to

Prop of Math; Writing/Solving Expression, Equation, Inequa

Total questions: 20

Worksheet time: 20mins

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