Free Printable Standard Stop #1

1.

A student used the following steps to solve the equation. 2(x - 10) + x = 10

Line 1 2(x - 10) + x = 10

Line 2 2x - 20 + x = 10

Line 3 2x + x – 20 = 10

Line 4 3x - 20 = 10

1A. What property was used to go from Line 2 to Line 3?

a)

Distributive Property

b)

Commutative Property

c)

Addition Property of Equality

d)

Division Property of Equality

e)

Subtraction Property of Equality

2.

A student used the following steps to solve the equation. 2(x - 10) + x = 10

Line 1 2(x - 10) + x = 10

Line 2 2x - 20 + x = 10

Line 3 2x + x – 20 = 10

Line 4 3x - 20 = 10

What is the next step that follows Line 4 to solve for x

a)

$\frac{3x}{3}\ -\ 20\ =\ \frac{10}{3}$

b)

3 · 3x – 20 = 10 · 3

c)

3x – 20 + 20 = 10 – 20

d)

3x – 20 + 20 = 10 + 20

3.

Use the properties for the reason of drop down 1

a)

Addition Property of Equality

b)

Distributive Property

c)

Multiplication Property of Equality

4.

Use the properties for the reason of drop down 2

a)

Multiplication Property of Equality

b)

Transitive Property

c)

Subtraction Property of Equality

5.

Use the properties for the reason of drop down 3

a)

Division Property of Equality

b)

Multiplication Property of Equality

c)

Subtraction Property of Equality

6.

During vacation, Dalyn rents a small boat from a company that charges a flat fee of $30 plus $10 per hour. The total charge comes to $90.

a) Which equation can be used to find the number of hours (x) that Dalyn rents the boat?

b) How many hours did he rent the boat?

a)

10x + 30 = 90 x = 6 hrs

b)

10(x + 30) = 90 x = 5 hrs

c)

30x + 10 = 90 x = 6 hrs

d)

30(x + 10) = 90 x = 5 hrs

7.

Solve the inequality: 3(-1 – x) < - 2x – 3x

a)

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

b)

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

c)

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

d)

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

8.

Graph the inequality: 3(-1 – x) < - 2x – 3x

a)

b)

c)

d)

9.

Solve the inequality: - 2(2x – 4) < 4(2 – x)

a)

x < 0

b)

x < 4

c)

x < 8

d)

All real numbers

e)

No Solution

10.

$V\ =\ \frac{1}{3}Bh$

Volume, V, is based on base area B and height h.

Which equation can be used to find B?

a)

$B\ =\ 3Vh$

b)

$B\ =\ 3V\ -\ h$

c)

$B\ =\ \frac{3V}{h}$

d)

$B\ =\ \frac{V\ -\ 3}{h}$

Standard Stop #1

Total questions: 10

Worksheet time: 50mins

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