Quiz about OAS Algebra 1 Standards Exam

Question 1

Solve the linear equation $$2x - 3 = 5$$ .

Accepted Answer

$$x = 4$$

Answer

$$x = 1$$

Answer

$$x = -1$$

Answer

$$x = 0$$

Question 2

Write $$\sqrt[3]{8x^3}$$ in simplest radical form.

Accepted Answer

$$2x$$

Answer

$$4x^3$$

Answer

$$2x^3$$

Answer

$$4x$$

Question 3

Simplify the expression $$\sqrt{18} + \sqrt{8}$$ .

Accepted Answer

$$5\sqrt{2}$$

Answer

$$4\sqrt{2}$$

Answer

$$6\sqrt{2}$$

Answer

$$3\sqrt{2}$$

Question 4

Solve the equation $$|3x - 4| = 5$$ .

Accepted Answer

$$x = \frac{1}{3}, x = 3$$

Answer

$$x = -\frac{1}{3}, x = 3$$

Answer

$$x = -\frac{1}{3}, x = \frac{9}{3}$$

Answer

$$x = \frac{1}{3}, x = \frac{3}{3}$$

Question 5

Determine whether the relation represented by the set $$\{(2, 3), (4, 5), (2, 6), (7, 8)\}$$ is a function.

Accepted Answer

No

Answer

Yes

Question 6

Given the function $$f(x) = 3x - 2$$ , identify the dependent variable.

Accepted Answer

$$f(x)$$

Answer

$$x$$

Answer

$$3x$$

Answer

$$-2$$

Question 7

For the function $$y = 2x + 3$$ , what is the domain if the range is $$\{5, 9, 13\}$$ ?

Accepted Answer

$$\{1, 3, 5\}$$

Answer

$$\{1, 2, 3\}$$

Answer

$$\{0, 2, 4\}$$

Question 8

Evaluate the function $$g(x) = x^2 - 4x + 4$$ at $$x = 2$$ .

Accepted Answer

$$0$$

Answer

$$2$$

Answer

$$4$$

Answer

$$6$$

Question 9

Given the scatterplot of data points, which of the following best describes the relationship between the two variables?

Accepted Answer

Positive linear relationship

Answer

Negative linear relationship

Answer

No relationship

Answer

Nonlinear relationship

Question 10

Solve the system of equations: $$2x + 3y = 5$$ and $$4x - y = 3$$ .

Accepted Answer

$$x = 2, y = -1$$

Answer

$$x = 1, y = 1$$

Answer

$$x = 1, y = -1$$

Answer

$$x = -1, y = 1$$

Question 11

Simplify the expression $$\frac{\sqrt{50}}{\sqrt{2}}$$ .

Accepted Answer

$$5$$

Answer

$$\sqrt{25}$$

Answer

$$7$$

Answer

$$10$$

Question 12

Given the equation $$y = 3x + 7$$ , what is the independent variable?

Accepted Answer

$$x$$

Answer

$$y$$

Answer

$$3$$

Answer

$$7$$

Question 13

What is the range of the function $$f(x) = -2x + 5$$ if the domain is $$\{0, 1, 2, 3\}$$ ?

Accepted Answer

$$\{5, 3, 1, -1\}$$

Answer

$$\{7, 5, 3, 1\}$$

Answer

$$\{5, 7, 9, 11\}$$

Answer

$$\{-1, 1, 3, 5\}$$

Question 14

Rationalize the denominator of the expression $$\frac{5}{\sqrt{3}}$$ .

Accepted Answer

$$\frac{5\sqrt{3}}{3}$$

Answer

$$\frac{15}{3}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{\sqrt{15}}{3}$$

Question 15

If a linear equation is represented by the graph crossing the y-axis at $$(0, -3)$$ and having a slope of $$2$$ , what is the equation of the line?

Accepted Answer

$$y = 2x - 3$$

Answer

$$y = -3x + 2$$

Answer

$$y = 2x + 3$$

Answer

$$y = -2x - 3$$

Question 16

What is the solution to the absolute value equation $$|x + 5| = 9$$ ?

Accepted Answer

$$x = 14, x = -4$$

Answer

$$x = 4, x = -14$$

Answer

$$x = 4, x = -4$$

Answer

$$x = 4, x = -16$$

Question 17

Given the function $$f(x) = \sqrt{x - 2}$$ , what is the domain of $$f$$ ?

Accepted Answer

$$x \geq 2$$

Answer

$$x > 2$$

Answer

$$x \geq 0$$

Answer

$$x > 0$$

Question 18

For the function $$g(t) = t^2 - 4t + 4$$ , find $$g(3)$$ .

Accepted Answer

$$1$$

Answer

$$3$$

Answer

$$5$$

Answer

$$7$$

Question 19

What is the inverse function of $$f(x) = \frac{1}{2}x + 3$$ ?

Accepted Answer

$$f^{-1}(x) = 2x - 3$$

Answer

$$f^{-1}(x) = 2x - 6$$

Answer

$$f^{-1}(x) = 2x + 3$$

Answer

$$f^{-1}(x) = \frac{1}{2}x - 3$$

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