Quiz about 2024 Keystone Algebra I Module I Sampler

Question 1

What are all the values of a that make the inequality $$\sqrt[]{a}>a^2$$ true?

Accepted Answer

0 < a < 1

Answer

a = 0

Answer

a > 1

Answer

a = 1

Question 2

Which expression can be simplified to the form $$x\ \sqrt[]{3}$$ where x is an integer?

Accepted Answer

$$\sqrt[]{48}$$

Answer

$$\sqrt[]{51}$$

Answer

$$\sqrt[]{54}$$

Answer

$$\sqrt[]{57}$$

Question 3

Which expression is a factor of $$x^2-2x-24$$ ?

Accepted Answer

x - 6

Answer

x - 2

Answer

x - 4

Answer

x - 12

Question 4

Which expression is equivalent to $$\frac{2x^{2\ }-\ 98}{x^{2\ }-14x\ +49}$$ when $$x e7$$ ?

Accepted Answer

$$\frac{2\left(x+7\right)}{x-7}$$

Answer

$$2(x+7)$$

Answer

$$\frac{1}{7x}$$

Answer

$$\frac{2\left(x-7\right)}{x+7}$$

Question 5

An equation is shown below.

$$\frac{8}{3}x+48.5=y$$

Which equation can be used to determine the value of x when y = 28.1 ?

Accepted Answer

$$x=\frac{3}{8}\left(28.1-48.5\right)$$

Answer

$$x=\frac{3}{8}\left(28.1+48.5\right)$$

Answer

$$x=\frac{8}{3}\left(28.1-48.5\right)$$

Answer

$$x=\frac{8}{3}\left(28.1+48.5\right)$$

Question 6

One of the steps Neesha used to correctly solve an equation is shown below.

line 1: $$18\ +\ 8x\ -\ 4\ =\ 13$$

line 2: $$8x+18-4=13$$

Which set of statements describes the procedure Neesha used to go from line 1 to line 2 and identifies the property that justifies that procedure?

Accepted Answer

.Neesha changed the order of the 18 and 8 x. This procedure is justified by the commutative property of addition.

Answer

Neesha changed the order of the 18 and 8 x. This procedure is justified by the associative property of addition.

Answer

Neesha added -18 to both sides of the equation. This procedure is justified by the additive inverse property.

Answer

Neesha added -18 to both sides of the equation. This procedure is justified by the additive property of equality

Question 7

Question 7.

Accepted Answer

Marcy bought exactly 6 packages of small paintbrushes.

Answer

Marcy bought exactly 6 small paintbrushes.

Answer

Marcy bought exactly 6 large paintbrushes.

Answer

Marcy bought exactly 6 packages of large paintbrushes.

Question 8

The graph represents the solution set of an inequality.

Which inequality has the solution set represented in the graph?

Accepted Answer

Question 9

Keisha began a new job and decided to save some money. The linear inequality graphed below models the amount of money she plans to save based on her total earnings.

Which statement best describes what the point (65, 5) represents?

Accepted Answer

When Keisha earns a total of $65, the amount she saves could be exactly $5.

Answer

When Keisha earns a total of $5, the amount she saves could be exactly $65.

Answer

When Keisha earns a total of $5, the amount she saves will be no more than $65.

Answer

.When Keisha earns a total of $65, the amount she saves will be no more than $5.

Question 10

The graph shown below represents the solution set for a system of inequalities.

Which system of inequalities has the solution set represented in the graph?

Accepted Answer

2024 Keystone Algebra I Module I Sampler

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